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20 Second Parity Lifetime in an InAs--Pb Tetron Device
Authors:
Morteza Aghaee,
Zulfi Alam,
Mariusz Andrzejczuk,
Andrey Antipov,
Theodora Asimakidis,
Mikhail Astafev,
Lukas Avilovas,
Ahmad Azizimanesh,
Amin Barzegar,
Bela Bauer,
Jonathan Becker,
Umesh Kumar Bhaskar,
Andrea G. Boa,
Srini Boddapati,
Nichlaus Bohac,
Jouri Bommer,
Jan Borovsky,
Léo Bourdet,
Samuel Boutin,
Srivatsa Chakravarthi,
Benjamin J. Chapman,
Nikolaos Chatzaras,
Tzu-Chiao Chien,
Jason Cho,
Patrick T. Codd
, et al. (140 additional authors not shown)
Abstract:
A central promise of topological quantum computing is that increasing the excitation gap improves device performance significantly. Here, we experimentally validate this principle in an InAs--Pb tetron device via interferometric single-shot parity measurements. By replacing aluminum with the higher-gap superconductor lead in our superconductor-semiconductor hybrid devices, we have improved the rob…
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A central promise of topological quantum computing is that increasing the excitation gap improves device performance significantly. Here, we experimentally validate this principle in an InAs--Pb tetron device via interferometric single-shot parity measurements. By replacing aluminum with the higher-gap superconductor lead in our superconductor-semiconductor hybrid devices, we have improved the robustness of our topological phase. In addition, to enable fast and precise bring-up at scale, we have developed an rf measurement technique that resolves low-energy wire-end states and directly measures their energy splitting with $μ\text{eV}$ precision. We employ this technique to bring up a device in a multi-tetron array and perform parity measurements of one of the tetron's hybrid nanowires (NWs). By controllably switching the wire parity, we observe $h/2e$-periodic bimodal shifts in the quantum capacitance of a quantum dot coupled to the hybrid nanowire in an interference loop. Further time-resolved measurements reveal a characteristic parity switching time of $\sim 20$ s with some instances reaching minute-scale. Such extremely long parity lifetimes are orders of magnitude longer than typical qubit operation times, which are on the order of $μ\text{s}$. Finally, we discuss potential implications for the fidelity of Pauli measurements.
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Submitted 2 June, 2026; v1 submitted 2 June, 2026;
originally announced June 2026.
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Distinct Lifetimes for $X$ and $Z$ Loop Measurements in a Majorana Tetron Device
Authors:
Morteza Aghaee,
Zulfi Alam,
Rikke Andersen,
Mariusz Andrzejczuk,
Andrey Antipov,
Mikhail Astafev,
Lukas Avilovas,
Ahmad Azizimanesh,
Eric Banek,
Bela Bauer,
Jonathan Becker,
Umesh Kumar Bhaskar,
Andrea G. Boa,
Srini Boddapati,
Nichlaus Bohac,
Jouri D. S. Bommer,
Jan Borovsky,
Léo Bourdet,
Samuel Boutin,
Lucas Casparis,
Srivatsa Chakravarthi,
Hamidreza Chalabi,
Benjamin J. Chapman,
Nikolaos Chatzaras,
Tzu-Chiao Chien
, et al. (142 additional authors not shown)
Abstract:
We present a hardware realization and measurements of a tetron qubit device in a superconductor-semiconductor heterostructure. The device architecture contains two parallel superconducting nanowires, which support four Majorana zero modes (MZMs) when tuned into the topological phase, and a trivial superconducting backbone. Two distinct readout interferometers are formed by connecting the supercond…
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We present a hardware realization and measurements of a tetron qubit device in a superconductor-semiconductor heterostructure. The device architecture contains two parallel superconducting nanowires, which support four Majorana zero modes (MZMs) when tuned into the topological phase, and a trivial superconducting backbone. Two distinct readout interferometers are formed by connecting the superconducting structure to a series of quantum dots. We perform single-shot interferometric measurements of the fermion parity for the two loops, designed to implement Pauli-$X$ and $Z$ measurements of the tetron. Performing repeated single-shot measurements yields two widely separated time scales $τ_X = 14.5\pm 0.3 \, \mathrm{μs}$ and $τ_Z = 12.4\pm 0.4\, \mathrm{ms}$ for parity switches observed in the $X$ and $Z$ measurement loops, which we attribute to intra-wire parity switches and external quasiparticle poisoning, respectively. We estimate assignment errors of $\mathrm{err}^X_a=16\%$ and $\mathrm{err}^Z_a=0.5\%$ for $X$ and $Z$ measurement-based operations, respectively.
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Submitted 4 September, 2025; v1 submitted 11 July, 2025;
originally announced July 2025.
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Response to recent comments on Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supp. Info. for Nature 638, 651-655 (2025)
Authors:
Morteza Aghaee,
Zulfi Alam,
Mariusz Andrzejczuk,
Andrey E. Antipov,
Mikhail Astafev,
Amin Barzegar,
Bela Bauer,
Jonathan Becker,
Umesh Kumar Bhaskar,
Alex Bocharov,
Srini Boddapati,
David Bohn,
Jouri Bommer,
Leo Bourdet,
Samuel Boutin,
Benjamin J. Chapman,
Sohail Chatoor,
Anna Wulff Christensen,
Patrick Codd,
William S. Cole,
Paul Cooper,
Fabiano Corsetti,
Ajuan Cui,
Andreas Ekefjärd,
Saeed Fallahi
, et al. (105 additional authors not shown)
Abstract:
The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising parameter regime for operating topological qubits. The protocol's key metric is the probability of incorrectly identifying a trivial region as topological, referred to as the false discovery rate (FDR). Two recent manuscr…
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The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising parameter regime for operating topological qubits. The protocol's key metric is the probability of incorrectly identifying a trivial region as topological, referred to as the false discovery rate (FDR). Two recent manuscripts [arXiv:2502.19560, arXiv:2503.08944] engage with the topological gap protocol and its use in Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supplementary Information for Nature 638, 651-655 (2025), although they do not explicitly dispute the main results of either one. We demonstrate that the objections in arXiv:2502.19560 and arXiv:2503.08944 are unfounded, and we uphold the conclusions of Phys. Rev. B 107, 245423 (2023) and Nature 638, 651-655 (2025). Specifically, we show that no flaws have been identified in our estimate of the false discovery rate (FDR). We provide a point-by-point rebuttal of the comments in arXiv:2502.19560 and arXiv:2503.08944.
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Submitted 17 April, 2025;
originally announced April 2025.
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Roadmap to fault tolerant quantum computation using topological qubit arrays
Authors:
David Aasen,
Morteza Aghaee,
Zulfi Alam,
Mariusz Andrzejczuk,
Andrey Antipov,
Mikhail Astafev,
Lukas Avilovas,
Amin Barzegar,
Bela Bauer,
Jonathan Becker,
Juan M. Bello-Rivas,
Umesh Bhaskar,
Alex Bocharov,
Srini Boddapati,
David Bohn,
Jouri Bommer,
Parsa Bonderson,
Jan Borovsky,
Leo Bourdet,
Samuel Boutin,
Tom Brown,
Gary Campbell,
Lucas Casparis,
Srivatsa Chakravarthi,
Rui Chao
, et al. (157 additional authors not shown)
Abstract:
We describe a concrete device roadmap towards a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits. Our roadmap encompasses four generations of devices: a single-qubit device that enables a measurement-based qubit benchmarking protocol; a two-qubit device that uses measurement-based braiding to perform single-qubit Clifford operati…
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We describe a concrete device roadmap towards a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits. Our roadmap encompasses four generations of devices: a single-qubit device that enables a measurement-based qubit benchmarking protocol; a two-qubit device that uses measurement-based braiding to perform single-qubit Clifford operations; an eight-qubit device that can be used to show an improvement of a two-qubit operation when performed on logical qubits rather than directly on physical qubits; and a topological qubit array supporting lattice surgery demonstrations on two logical qubits. Devices that enable this path require a superconductor-semiconductor heterostructure that supports a topological phase, quantum dots and coupling between those quantum dots that can create the appropriate loops for interferometric measurements, and a microwave readout system that can perform fast, low-error single-shot measurements. We describe the key design components of these qubit devices, along with the associated protocols for demonstrations of single-qubit benchmarking, Clifford gate execution, quantum error detection, and quantum error correction, which differ greatly from those in more conventional qubits. Finally, we comment on implications and advantages of this architecture for utility-scale quantum computation.
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Submitted 18 July, 2025; v1 submitted 17 February, 2025;
originally announced February 2025.
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Materials Learning Algorithms (MALA): Scalable Machine Learning for Electronic Structure Calculations in Large-Scale Atomistic Simulations
Authors:
Attila Cangi,
Lenz Fiedler,
Bartosz Brzoza,
Karan Shah,
Timothy J. Callow,
Daniel Kotik,
Steve Schmerler,
Matthew C. Barry,
James M. Goff,
Andrew Rohskopf,
Dayton J. Vogel,
Normand Modine,
Aidan P. Thompson,
Sivasankaran Rajamanickam
Abstract:
We present the Materials Learning Algorithms (MALA) package, a scalable machine learning framework designed to accelerate density functional theory (DFT) calculations suitable for large-scale atomistic simulations. Using local descriptors of the atomic environment, MALA models efficiently predict key electronic observables, including local density of states, electronic density, density of states,…
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We present the Materials Learning Algorithms (MALA) package, a scalable machine learning framework designed to accelerate density functional theory (DFT) calculations suitable for large-scale atomistic simulations. Using local descriptors of the atomic environment, MALA models efficiently predict key electronic observables, including local density of states, electronic density, density of states, and total energy. The package integrates data sampling, model training and scalable inference into a unified library, while ensuring compatibility with standard DFT and molecular dynamics codes. We demonstrate MALA's capabilities with examples including boron clusters, aluminum across its solid-liquid phase boundary, and predicting the electronic structure of a stacking fault in a large beryllium slab. Scaling analyses reveal MALA's computational efficiency and identify bottlenecks for future optimization. With its ability to model electronic structures at scales far beyond standard DFT, MALA is well suited for modeling complex material systems, making it a versatile tool for advanced materials research.
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Submitted 29 November, 2024;
originally announced November 2024.
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Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device
Authors:
Morteza Aghaee,
Alejandro Alcaraz Ramirez,
Zulfi Alam,
Rizwan Ali,
Mariusz Andrzejczuk,
Andrey Antipov,
Mikhail Astafev,
Amin Barzegar,
Bela Bauer,
Jonathan Becker,
Umesh Kumar Bhaskar,
Alex Bocharov,
Srini Boddapati,
David Bohn,
Jouri Bommer,
Leo Bourdet,
Arnaud Bousquet,
Samuel Boutin,
Lucas Casparis,
Benjamin James Chapman,
Sohail Chatoor,
Anna Wulff Christensen,
Cassandra Chua,
Patrick Codd,
William Cole
, et al. (137 additional authors not shown)
Abstract:
The fusion of non-Abelian anyons or topological defects is a fundamental operation in measurement-only topological quantum computation. In topological superconductors, this operation amounts to a determination of the shared fermion parity of Majorana zero modes. As a step towards this, we implement a single-shot interferometric measurement of fermion parity in indium arsenide-aluminum heterostruct…
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The fusion of non-Abelian anyons or topological defects is a fundamental operation in measurement-only topological quantum computation. In topological superconductors, this operation amounts to a determination of the shared fermion parity of Majorana zero modes. As a step towards this, we implement a single-shot interferometric measurement of fermion parity in indium arsenide-aluminum heterostructures with a gate-defined nanowire. The interferometer is formed by tunnel-coupling the proximitized nanowire to quantum dots. The nanowire causes a state-dependent shift of these quantum dots' quantum capacitance of up to 1 fF. Our quantum capacitance measurements show flux h/2e-periodic bimodality with a signal-to-noise ratio of 1 in 3.7 $μ$s at optimal flux values. From the time traces of the quantum capacitance measurements, we extract a dwell time in the two associated states that is longer than 1 ms at in-plane magnetic fields of approximately 2 T. These results are consistent with a measurement of the fermion parity encoded in a pair of Majorana zero modes that are separated by approximately 3 $μ$m and subjected to a low rate of poisoning by non-equilibrium quasiparticles. The large capacitance shift and long poisoning time enable a parity measurement error probability of 1%.
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Submitted 2 April, 2024; v1 submitted 17 January, 2024;
originally announced January 2024.
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Predicting electronic structures at any length scale with machine learning
Authors:
Lenz Fiedler,
Normand A. Modine,
Steve Schmerler,
Dayton J. Vogel,
Gabriel A. Popoola,
Aidan P. Thompson,
Sivasankaran Rajamanickam,
Attila Cangi
Abstract:
The properties of electrons in matter are of fundamental importance. They give rise to virtually all molecular and material properties and determine the physics at play in objects ranging from semiconductor devices to the interior of giant gas planets. Modeling and simulation of such diverse applications rely primarily on density functional theory (DFT), which has become the principal method for p…
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The properties of electrons in matter are of fundamental importance. They give rise to virtually all molecular and material properties and determine the physics at play in objects ranging from semiconductor devices to the interior of giant gas planets. Modeling and simulation of such diverse applications rely primarily on density functional theory (DFT), which has become the principal method for predicting the electronic structure of matter. While DFT calculations have proven to be very useful to the point of being recognized with a Nobel prize in 1998, their computational scaling limits them to small systems. We have developed a machine learning framework for predicting the electronic structure on any length scale. It shows up to three orders of magnitude speedup on systems where DFT is tractable and, more importantly, enables predictions on scales where DFT calculations are infeasible. Our work demonstrates how machine learning circumvents a long-standing computational bottleneck and advances science to frontiers intractable with any current solutions. This unprecedented modeling capability opens up an inexhaustible range of applications in astrophysics, novel materials discovery, and energy solutions for a sustainable future.
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Submitted 8 December, 2022; v1 submitted 20 October, 2022;
originally announced October 2022.
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InAs-Al Hybrid Devices Passing the Topological Gap Protocol
Authors:
Morteza Aghaee,
Arun Akkala,
Zulfi Alam,
Rizwan Ali,
Alejandro Alcaraz Ramirez,
Mariusz Andrzejczuk,
Andrey E Antipov,
Pavel Aseev,
Mikhail Astafev,
Bela Bauer,
Jonathan Becker,
Srini Boddapati,
Frenk Boekhout,
Jouri Bommer,
Esben Bork Hansen,
Tom Bosma,
Leo Bourdet,
Samuel Boutin,
Philippe Caroff,
Lucas Casparis,
Maja Cassidy,
Anna Wulf Christensen,
Noah Clay,
William S Cole,
Fabiano Corsetti
, et al. (102 additional authors not shown)
Abstract:
We present measurements and simulations of semiconductor-superconductor heterostructure devices that are consistent with the observation of topological superconductivity and Majorana zero modes. The devices are fabricated from high-mobility two-dimensional electron gases in which quasi-one-dimensional wires are defined by electrostatic gates. These devices enable measurements of local and non-loca…
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We present measurements and simulations of semiconductor-superconductor heterostructure devices that are consistent with the observation of topological superconductivity and Majorana zero modes. The devices are fabricated from high-mobility two-dimensional electron gases in which quasi-one-dimensional wires are defined by electrostatic gates. These devices enable measurements of local and non-local transport properties and have been optimized via extensive simulations to ensure robustness against non-uniformity and disorder. Our main result is that several devices, fabricated according to the design's engineering specifications, have passed the topological gap protocol defined in Pikulin et al. [arXiv:2103.12217]. This protocol is a stringent test composed of a sequence of three-terminal local and non-local transport measurements performed while varying the magnetic field, semiconductor electron density, and junction transparencies. Passing the protocol indicates a high probability of detection of a topological phase hosting Majorana zero modes as determined by large-scale disorder simulations. Our experimental results are consistent with a quantum phase transition into a topological superconducting phase that extends over several hundred millitesla in magnetic field and several millivolts in gate voltage, corresponding to approximately one hundred micro-electron-volts in Zeeman energy and chemical potential in the semiconducting wire. These regions feature a closing and re-opening of the bulk gap, with simultaneous zero-bias conductance peaks at both ends of the devices that withstand changes in the junction transparencies. The extracted maximum topological gaps in our devices are 20-60 $μ$eV. This demonstration is a prerequisite for experiments involving fusion and braiding of Majorana zero modes.
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Submitted 8 March, 2024; v1 submitted 6 July, 2022;
originally announced July 2022.
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Magnetic Field Universality of the Kondo Effect Revealed by Thermocurrent Spectroscopy
Authors:
Chunwei Hsu,
Theo A. Costi,
David Vogel,
Christina Wegeberg,
Marcel Mayor,
Herre S. J. van der Zant,
Pascal Gehring
Abstract:
Probing the universal low temperature magnetic field scaling of Kondo-correlated quantum dots via electrical conductance has proved to be experimentally challenging. Here, we show how to probe this in nonlinear thermocurrent spectroscopy applied to a molecular quantum dot in the Kondo regime. Our results demonstrate that the bias-dependent thermocurrent is a sensitive probe of universal Kondo phys…
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Probing the universal low temperature magnetic field scaling of Kondo-correlated quantum dots via electrical conductance has proved to be experimentally challenging. Here, we show how to probe this in nonlinear thermocurrent spectroscopy applied to a molecular quantum dot in the Kondo regime. Our results demonstrate that the bias-dependent thermocurrent is a sensitive probe of universal Kondo physics, directly measures the splitting of the Kondo resonance in a magnetic field, and opens up possibilities for investigating nanosystems far from thermal and electrical equilibrium.
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Submitted 11 April, 2022; v1 submitted 24 November, 2021;
originally announced November 2021.
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Controlling the entropy of a single-molecule junction
Authors:
Eugenia Pyurbeeva,
Chunwei Hsu,
David Vogel,
Christina Wegeberg,
Marcel Mayor,
Herre van der Zant,
Jan A. Mol,
Pascal Gehring
Abstract:
Single molecules are nanoscale thermodynamic systems with few degrees of freedom. Thus, the knowledge of their entropy can reveal the presence of microscopic electron transfer dynamics, that are difficult to observe otherwise. Here, we apply thermocurrent spectroscopy to directly measure the entropy of a single free radical molecule in a magnetic field. Our results allow us to uncover the presence…
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Single molecules are nanoscale thermodynamic systems with few degrees of freedom. Thus, the knowledge of their entropy can reveal the presence of microscopic electron transfer dynamics, that are difficult to observe otherwise. Here, we apply thermocurrent spectroscopy to directly measure the entropy of a single free radical molecule in a magnetic field. Our results allow us to uncover the presence of a singlet to triplet transition in one of the redox states of the molecule, not detected by conventional charge transport measurements. This highlights the power of thermoelectric measurements which can be used to determine the difference in configurational entropy between the redox states of a nanoscale system involved in conductance without any prior assumptions about its structure or microscopic dynamics.
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Submitted 14 September, 2021;
originally announced September 2021.
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Laser-equipped gas reaction chamber for probing environmentally sensitive materials at near atomic scale
Authors:
Heena Khanchandani,
Ayman A. El-Zoka,
Se-Ho Kim,
Uwe Tezins,
Dirk Vogel,
Andreas Sturm,
Dierk Raabe,
Baptiste Gault,
Leigh Stephenson
Abstract:
Numerous metallurgical and materials science applications depend on quantitative atomic-scale characterizations of environmentally-sensitive materials and their transient states. Studying the effect upon materials subjected to thermochemical treatments in specific gaseous atmospheres is of central importance for specifically studying a material's resistance to certain oxidative or hydrogen environ…
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Numerous metallurgical and materials science applications depend on quantitative atomic-scale characterizations of environmentally-sensitive materials and their transient states. Studying the effect upon materials subjected to thermochemical treatments in specific gaseous atmospheres is of central importance for specifically studying a material's resistance to certain oxidative or hydrogen environments. It is also important for investigating catalytic materials, direct reduction of an oxide, particular surface science reactions or nanoparticle fabrication routes. This manuscript realizes such experiments upon a thermochemical reaction chamber called the Reacthub and allows for transferring treated materials under cryogenic & ultrahigh vacuum workflow conditions for characterisation by either atom probe or scanning Xe+/electron microscopies. Two examples are discussed in the present study. One protocol was in the deuterium gas charging (25 kPa D2 at 200 °C) of a high-manganese twinning-induced-plasticity steel and characterization of the ingress and trapping of hydrogen at various features (grain boundaries in particular) in efforts to relate this to the steel's hydrogen embrittlement susceptibility. Deuterium was successfully detected after gas charging but most contrast originated from the complex ion FeOD+ signal and the feature may be an artefact. The second example considered the direct deuterium reduction (5 kPa D2 at 700 °C) of a single crystal wuestite sample, demonstrating that under a standard thermochemical treatment causes rapid reduction upon the nanoscale. Further studies are required for complete confidence about these phenomena, but these experiments successfully demonstrate that how an ex-situ thermochemical treatment can be realised that captures environmentally-sensitive transient states that can be analysed by atomic-scale by atom probe microscope.
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Submitted 21 October, 2021; v1 submitted 26 July, 2021;
originally announced July 2021.
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Influence of microstructure and atomic-scale chemistry on iron ore reduction with hydrogen at 700°C
Authors:
Se-Ho Kim,
Xue Zhang,
Kevin Schweinar,
Isnaldi R. Souza Filho,
Katja Angerendt,
Yan Ma,
Dirk Vogel,
Leigh T. Stephenson,
Ayman A. El-Zoka,
Jaber Rezaei Mianroodi,
Michael Rohwerder,
Baptiste Gault,
Dierk Raabe
Abstract:
With 1.85 billion tons produced per year, steel is the most important material class in terms of volume and environmental impact. While steel is a sustainability enabler, for instance through lightweight design, magnetic devices, and efficient turbines, its primary production is not. For 3000 years, iron has been reduced from ores using carbon. Today 2.1 tons CO2 are produced per ton of steel, cau…
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With 1.85 billion tons produced per year, steel is the most important material class in terms of volume and environmental impact. While steel is a sustainability enabler, for instance through lightweight design, magnetic devices, and efficient turbines, its primary production is not. For 3000 years, iron has been reduced from ores using carbon. Today 2.1 tons CO2 are produced per ton of steel, causing 30% of the global CO2 emissions in the manufacturing sector, which translates to 6.5% of the global CO2 emissions. These numbers qualify iron- and steel-making as the largest single industrial greenhouse gas emission source. The envisaged future industrial route to mitigate these CO2 emissions targets green hydrogen as a reductant. Although this reaction has been studied for decades, its kinetics is not well understood, particularly during the wustite reduction step which is dramatically slower than the hematite reduction. Many rate-limiting factors of this reaction are set by the micro- and nanostructure as well as the local chemistry of the ores. Their quantification allows knowledge-driven ore preparation and process optimization to make the hydrogen-based reduction of iron ores commercially viable, enabling the required massive CO2 mitigation to ease global warming. Here, we report on a multi-scale structure and composition analysis of iron reduced from hematite with pure H2, reaching down to near-atomic scale.
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Submitted 10 February, 2021;
originally announced February 2021.
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The Laplace project: an integrated suite for correlative atom probe tomography and electron microscopy under cryogenic and UHV conditions
Authors:
Leigh T. Stephenson,
Agnieszka Szczepaniak,
Isabelle Mouton,
Kristiane Ann Kathrin Rusitzka,
Andrew J. Breen,
Uwe Tezins,
Andreas Sturm,
Dirk Vogel,
Yanhong Chang,
Paraskevas Kontis,
Alexander Rosenthal,
Jeffrey D. Shepard,
Urs Maier,
Thomas F. Kelly,
Dierk Raabe,
Baptiste Gault
Abstract:
We present sample transfer instrumentation and integrated protocols for the preparation and correlative characterization of environmentally-sensitive materials by both atom probe tomography and electron microscopy. Ultra-high vacuum cryogenic suitcases allow specimen transfer between preparation, processing and several imaging platforms without exposure to atmospheric contamination. For expedient…
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We present sample transfer instrumentation and integrated protocols for the preparation and correlative characterization of environmentally-sensitive materials by both atom probe tomography and electron microscopy. Ultra-high vacuum cryogenic suitcases allow specimen transfer between preparation, processing and several imaging platforms without exposure to atmospheric contamination. For expedient transfers, we installed a fast-docking station equipped with a cryogenic pump upon three systems; two atom probes, a scanning electron microscope / Xe-plasma focused ion beam and a N$_2$-atmosphere glovebox. We also installed a plasma FIB with a solid-state cooling stage to reduce beam damage and contamination, through reducing chemical activity and with the cryogenic components as passive cryogenic traps. We demonstrate the efficacy of the new laboratory protocols by the successful preparation and transfer of two highly contamination- and temperature-sensitive samples - water and ice. Analysing pure magnesium atom probe data, we show that surface oxidation can be effectively suppressed using an entirely cryogenic protocol (during specimen preparation and during transfer). Starting with the cryogenically-cooled plasma FIB, we also prepared and transferred frozen ice samples while avoiding significant melting or sublimation, suggesting that we may be able to measure the nanostructure of other normally-liquid or soft materials. Isolated cryogenic protocols within the N$_2$ glove box demonstrate the absence of ice condensation suggesting that environmental control can commence from fabrication until atom probe analysis.
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Submitted 28 May, 2018;
originally announced May 2018.
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High-precision multiband spectroscopy of ultracold fermions in a nonseparable optical lattice
Authors:
Nick Fläschner,
Matthias Tarnowski,
Benno S. Rem,
Dominik Vogel,
Klaus Sengstock,
Christof Weitenberg
Abstract:
Spectroscopic tools are fundamental for the understanding of complex quantum systems. Here we demonstrate high-precision multi-band spectroscopy in a graphene-like lattice using ultracold fermionic atoms. From the measured band structure, we characterize the underlying lattice potential with a relative error of 1.2 10^(-3). Such a precise characterization of complex lattice potentials is an import…
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Spectroscopic tools are fundamental for the understanding of complex quantum systems. Here we demonstrate high-precision multi-band spectroscopy in a graphene-like lattice using ultracold fermionic atoms. From the measured band structure, we characterize the underlying lattice potential with a relative error of 1.2 10^(-3). Such a precise characterization of complex lattice potentials is an important step towards precision measurements of quantum many-body systems. Furthermore, we explain the excitation strengths into the different bands with a model and experimentally study their dependency on the symmetry of the perturbation operator. This insight suggests the excitation strengths as a suitable observable for interaction effects on the eigenstates.
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Submitted 6 May, 2018; v1 submitted 17 January, 2018;
originally announced January 2018.
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Observation of topological Bloch-state defects and their merging transition
Authors:
Matthias Tarnowski,
Marlon Nuske,
Nick Fläschner,
Benno Rem,
Dominik Vogel,
Lukas Freystatzky,
Klaus Sengstock,
Ludwig Mathey,
Christof Weitenberg
Abstract:
Topological defects in Bloch bands, such as Dirac points in graphene, and their resulting Berry phases play an important role for the electronic dynamics in solid state crystals. Such defects can arise in systems with a two-atomic basis due to the momentum-dependent coupling of the two sublattice states, which gives rise to a pseudo-spin texture. The topological defects appear as vortices in the a…
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Topological defects in Bloch bands, such as Dirac points in graphene, and their resulting Berry phases play an important role for the electronic dynamics in solid state crystals. Such defects can arise in systems with a two-atomic basis due to the momentum-dependent coupling of the two sublattice states, which gives rise to a pseudo-spin texture. The topological defects appear as vortices in the azimuthal phase of this pseudo-spin texture. Here, we demonstrate a complete measurement of the azimuthal phase in a hexagonal optical lattice employing a versatile method based on time-of-flight imaging after off-resonant lattice modulation. Furthermore we map out the merging transition of the two Dirac points induced by beam imbalance. Our work paves the way to accessing geometric properties in optical lattices also with spin-orbit coupling and interactions.
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Submitted 5 July, 2017; v1 submitted 8 March, 2017;
originally announced March 2017.
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Observation of a dynamical topological phase transition
Authors:
Nick Fläschner,
Dominik Vogel,
Matthias Tarnowski,
Benno S. Rem,
Dirk-Sören Lühmann,
Markus Heyl,
Jan Carl Budich,
Ludwig Mathey,
Klaus Sengstock,
Christof Weitenberg
Abstract:
Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental concepts for systems far from equilibrium are just being explored, such as the recently introduced dynamical phase transition (DPT). Here we report on the first observ…
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Phase transitions are a fundamental concept in science describing diverse phenomena ranging from, e.g., the freezing of water to Bose-Einstein condensation. While the concept is well-established in equilibrium, similarly fundamental concepts for systems far from equilibrium are just being explored, such as the recently introduced dynamical phase transition (DPT). Here we report on the first observation of a DPT in the dynamics of a fermionic many-body state after a quench between two lattice Hamiltonians. With time-resolved state tomography in a system of ultracold atoms in optical lattices, we obtain full access to the evolution of the wave function. We observe the appearance, movement, and annihilation of vortices in reciprocal space. We identify their number as a dynamical topological order parameter, which suddenly changes its value at the critical times of the DPT. Our observation of a DPT is an important step towards a more comprehensive understanding of non-equilibrium dynamics in general.
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Submitted 19 August, 2016;
originally announced August 2016.
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Experimental reconstruction of the Berry curvature in a topological Bloch band
Authors:
N. Fläschner,
B. S. Rem,
M. Tarnowski,
D. Vogel,
D. -S. Lühmann,
K. Sengstock,
C. Weitenberg
Abstract:
Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry of the eigenstates across the Brillouin zone. Employing fermionic ultracold atoms in a hexagonal optical lattice, we generate topological bands using resonant…
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Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry of the eigenstates across the Brillouin zone. Employing fermionic ultracold atoms in a hexagonal optical lattice, we generate topological bands using resonant driving and show a full momentum-resolved measurement of the ensuing Berry curvature. Our results pave the way to explore intriguing phases of matter with interactions in topological band structures.
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Submitted 21 September, 2015; v1 submitted 18 September, 2015;
originally announced September 2015.