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Spin-dependent transport in Fe${_3}$GaTe${_2}$ and Fe${_n}$GeTe${_2}$ ($n$=3-5) van der Waals ferromagnets for magnetic tunnel junctions
Authors:
Anita Halder,
Declan Nell,
Akash Bajaj,
Stefano Sanvito,
Andrea Droghetti
Abstract:
We present a systematic first-principles investigation of linear-response spin-dependent quantum transport in the van der Waals ferromagnets Fe$_3$GeTe$_2$, Fe$_4$GeTe$_2$, Fe$_5$GeTe$_2$, and Fe$_3$GaTe$_2$. Using density functional theory combined with the non-equilibrium Green's function formalism, we compute their Fermi surfaces, transmission coefficients, and orbital-projected density of stat…
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We present a systematic first-principles investigation of linear-response spin-dependent quantum transport in the van der Waals ferromagnets Fe$_3$GeTe$_2$, Fe$_4$GeTe$_2$, Fe$_5$GeTe$_2$, and Fe$_3$GaTe$_2$. Using density functional theory combined with the non-equilibrium Green's function formalism, we compute their Fermi surfaces, transmission coefficients, and orbital-projected density of states. All compounds exhibit nearly half-metallic conductance along the out-of-plane direction. This is characterized by a finite transmission coefficient for one spin channel and a gap in the other, resulting in spin polarization values exceeding 90$\%$ in the bulk. Notably, Fe$_3$GaTe$_2$ displays the ideal half-metallic behavior, with the Fermi energy located deep in the spin-down transmission gap. We further show that this high spin polarization is preserved in bilayer magnetic tunnel junctions, which exhibit a large tunnel magnetoresistance of the order of several hundred percent. This findings underscore the promise of these materials, and in particular of Fe$_3$GaTe$_2$, for spintronics applications.
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Submitted 8 September, 2025;
originally announced September 2025.
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Evidence of Athermal Metastable Phase in a Halide Perovskite: Optically Tracked Thermal-Breach Memory
Authors:
Kingshuk Mukhuti,
Satyaki Kundu,
Debasmita Pariari,
Deepesh Kalauni,
Ashutosh Mohanty,
Aniket Bajaj,
D. D. Sarma,
Bhavtosh Bansal
Abstract:
Halide perovskite materials have been extensively studied in the last decade because of their impressive optoelectronic properties. However, their one characteristic that is uncommon for semiconductors is that many undergo thermally induced structural phase transitions. The transition is hysteretic, with the hysteresis window marking the boundary of the metastable phase. We have discovered that in…
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Halide perovskite materials have been extensively studied in the last decade because of their impressive optoelectronic properties. However, their one characteristic that is uncommon for semiconductors is that many undergo thermally induced structural phase transitions. The transition is hysteretic, with the hysteresis window marking the boundary of the metastable phase. We have discovered that in methylammonium lead iodide, this hysteretic metastable phase is athermal, meaning it shows almost no temporal phase evolution under isothermal conditions. We also show that a large number of distinguishable metastable states can be prepared following different thermal pathways. Furthermore, under a reversible thermal perturbation, the states in the metastable phase either show return-point memory or undergo a systematic nonrecoverable phase evolution, depending on the thermal history and the sign of the temperature perturbation. Since the phase fraction can be probed with extreme sensitivity via luminescence, we have an optically retrievable memory that reliably records any breach in temperature stability. Such thermal-breach memory in athermal martensites, of which there are numerous examples, may be useful for tagging packages requiring strict temperature control during transportation or preservation.
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Submitted 6 February, 2025;
originally announced February 2025.
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Elucidating the Role of Stacking Faults in TlGaSe$_{2}$ on its Thermoelectric Properties
Authors:
Tigran Simonian,
Ahin Roy,
Akash Bajaj,
Rui Dong,
Zheng Lei,
Zdeněk Sofer,
Stefano Sanvito,
Valeria Nicolosi
Abstract:
Thermoelectric materials are of great interest for heat energy harvesting applications. One such promising material is TlGaSe$_{2}$, a p-type semiconducting ternary chalcogenide. Recent reports show it can be processed as a thin film, opening the door for large-scale commercialization. However, TlGaSe$_{2}$ is prone to stacking faults along the [001] stacking direction and their role in its thermo…
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Thermoelectric materials are of great interest for heat energy harvesting applications. One such promising material is TlGaSe$_{2}$, a p-type semiconducting ternary chalcogenide. Recent reports show it can be processed as a thin film, opening the door for large-scale commercialization. However, TlGaSe$_{2}$ is prone to stacking faults along the [001] stacking direction and their role in its thermoelectric properties has not been understood to date. Herein, TlGaSe$_{2}$ is investigated via (scanning) transmission electron microscopy and first-principles calculations. Stacking faults are found to be present throughout the material, as density functional theory calculations reveal a lack of preferential stacking order. Electron transport calculations show an enhancement of thermoelectric power factors when stacking faults are present. This implies the presence of stacking faults is key to the material's excellent thermoelectric properties along the [001] stacking direction, which can be further enhanced by doping the material to hole carrier concentrations to approx. 10$^{19}$ cm$^{-3}$.
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Submitted 31 May, 2024;
originally announced May 2024.
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Half-metallic transport and spin-polarized tunneling through the van der Waals ferromagnet Fe${_4}$GeTe$_{2}$
Authors:
Anita Halder,
Declan Nell,
Antik Sihi,
Akash Bajaj,
Stefano Sanvito,
Andrea Droghetti
Abstract:
The recent emergence of van der Waals (vdW) ferromagnets has opened new opportunities for designing spintronic devices. We theoretically investigate the coherent spin-dependent transport properties of the vdW ferromagnet Fe$_4$GeTe$_2$, by using density functional theory combined with the non-equilibrium Green's functions method. We find that the conductance in the direction perpendicular to the l…
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The recent emergence of van der Waals (vdW) ferromagnets has opened new opportunities for designing spintronic devices. We theoretically investigate the coherent spin-dependent transport properties of the vdW ferromagnet Fe$_4$GeTe$_2$, by using density functional theory combined with the non-equilibrium Green's functions method. We find that the conductance in the direction perpendicular to the layers is half-metallic, namely it is entirely spin-polarized, as a result of the material's electronic structure. This characteristic persists from bulk to single layer, even under significant bias voltages, and it is little affected by spin-orbit coupling and electron correlation. Motivated by this observation, we then investigate the tunnel magnetoresistance (TMR) effect in an magnetic tunnel junction, which comprises two Fe$_4$GeTe$_2$ layers separated by the vdW gap acting as insulating barrier. We predict a TMR ratio of almost 500\%, which can be further boosted by increasing the number of Fe$_4$GeTe$_2$ layers in the junction.
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Submitted 15 March, 2024;
originally announced March 2024.
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Ab-initio transport theory for the intrinsic spin Hall effect applied to 5$d$ metals
Authors:
Akash Bajaj,
Reena Gupta,
Ilya V. Tokatly,
Stefano Sanvito,
Andrea Droghetti
Abstract:
We describe how the spin Hall effect (SHE) can be studied from ab-initio by combining density functional theory with the non-equilibrium Green's functions technique for quantum transport into the so-called DFT+NEGF method. After laying down our theoretical approach in particular discussing how to compute charge and spin bond currents, DFT+NEGF calculations are carried out for ideal clean systems.…
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We describe how the spin Hall effect (SHE) can be studied from ab-initio by combining density functional theory with the non-equilibrium Green's functions technique for quantum transport into the so-called DFT+NEGF method. After laying down our theoretical approach in particular discussing how to compute charge and spin bond currents, DFT+NEGF calculations are carried out for ideal clean systems. In these the transport is ballistic and the linear response limit is met. The SHE emerges in a central region attached to two leads when we apply a bias voltage so that electrons are accelerated by a uniform electric field. As a result, we obtain a finite spin-Hall current and, by performing a scaling analysis with respect to the system size, we estimate the ballistic spin Hall conductivity (SHC). We consider 5d metals with fcc and bcc crystal structures, finding that the SHC exhibits a rough qualitative dependence on the d-band filling, and comment on these results in relation to existing literature. Finally, within the same DFT+NEGF approach, we also predict the appearance of a current-induced spin dipole moment inside the materials' unit cell and estimate its magnitude.
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Submitted 29 April, 2024; v1 submitted 3 January, 2024;
originally announced January 2024.
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Ligand Additivity and Divergent Trends in Two Types of Delocalization Errors from Approximate Density Functional Theory
Authors:
Yael Cytter,
Aditya Nandy,
Akash Bajaj,
Heather J. Kulik
Abstract:
Despite its widespread use, the predictive accuracy of density functional theory (DFT) is hampered by delocalization errors, especially for correlated systems such as transition-metal complexes. Two complementary tuning strategies have been developed to reduce delocalization error: eliminating the global curvature with respect to charge addition or removal, and computing a linear response Hubbard…
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Despite its widespread use, the predictive accuracy of density functional theory (DFT) is hampered by delocalization errors, especially for correlated systems such as transition-metal complexes. Two complementary tuning strategies have been developed to reduce delocalization error: eliminating the global curvature with respect to charge addition or removal, and computing a linear response Hubbard U as a measure of local curvature at the metal center at fixed charge and applying it to the transition-metal complex in a DFT+U framework. We investigate the relationship between the two measures of delocalization error as we manipulate the ligand field strength by varying the number of strong-field ligands in a series of heteroleptic complexes or by geometrically constraining the metal-ligand bond length in homoleptic octahedral complexes. We show that across these sets of complexes with varying ligand fields, an inverse relationship generally exists between global and local curvatures. We find that effects of ligand substitution on both measures of delocalization are typically additive, but the two quantities seldom coincide. The observation of ligand additivity suggests opportunities for evaluating errors on homoleptic complexes to infer corrections for lower-symmetry complexes.
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Submitted 7 April, 2022;
originally announced April 2022.
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Molecular orbital projectors in non-empirical jmDFT recover exact conditions in transition metal chemistry
Authors:
Akash Bajaj,
Chenru Duan,
Aditya Nandy,
Michael G. Taylor,
Heather J. Kulik
Abstract:
Low-cost, non-empirical corrections to semi-local density functional theory are essential for accurately modeling transition metal chemistry. Here, we demonstrate the judiciously-modified density functional theory (jmDFT) approach with non-empirical U and J parameters obtained directly from frontier orbital energetics on a series of transition metal complexes. We curate a set of nine representativ…
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Low-cost, non-empirical corrections to semi-local density functional theory are essential for accurately modeling transition metal chemistry. Here, we demonstrate the judiciously-modified density functional theory (jmDFT) approach with non-empirical U and J parameters obtained directly from frontier orbital energetics on a series of transition metal complexes. We curate a set of nine representative Ti(III) and V(IV) $d^1$ transition metal complexes and evaluate their flat plane errors along the fractional spin and charge lines. We demonstrate that while jmDFT improves upon both DFT+U and semi-local DFT with the standard atomic orbital projectors (AOPs), it does so inefficiently. We rationalize these inefficiencies by quantifying hybridization in the relevant frontier orbitals for both the case of fractional spins and fractional charges. To overcome these limitations, we introduce a procedure for computing a molecular orbital projector (MOP) basis for use with jmDFT. We demonstrate this single set of $d^1$ MOPs to be suitable for nearly eliminating all energetic delocalization error and static correlation error. In all cases, the MOP jmDFT outperforms AOP jmDFT, and it eliminates most flat plane errors at non-empirical values. Unlike widely employed DFT+U or hybrid functionals, jmDFT nearly eliminates energetic delocalization error and static correlation error within a non-empirical framework.
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Submitted 29 December, 2021;
originally announced December 2021.
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Eliminating Delocalization Error to Improve Heterogeneous Catalysis Predictions with Molecular DFT+U
Authors:
Akash Bajaj,
Heather J. Kulik
Abstract:
Approximate semi-local density functional theory (DFT) is known to underestimate surface formation energies yet paradoxically overbind adsorbates on catalytic transition-metal oxide surfaces due to delocalization error. The low-cost DFT+U approach only improves surface formation energies for early transition-metal oxides or adsorption energies for late transition-metal oxides. In this work, we dem…
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Approximate semi-local density functional theory (DFT) is known to underestimate surface formation energies yet paradoxically overbind adsorbates on catalytic transition-metal oxide surfaces due to delocalization error. The low-cost DFT+U approach only improves surface formation energies for early transition-metal oxides or adsorption energies for late transition-metal oxides. In this work, we demonstrate that this inefficacy arises due to the conventional usage of metal-centered atomic orbitals as projectors within DFT+U. We analyze electron density rearrangement during surface formation and O atom adsorption on rutile transition-metal oxides to highlight that a standard DFT+U correction fails to tune properties when the corresponding density rearrangement is highly delocalized across both metal and oxygen sites. To improve both surface properties simultaneously while retaining the simplicity of a single-site DFT+U correction, we systematically construct multi-atom-centered molecular-orbital-like projectors for DFT+U. We demonstrate this molecular DFT+U approach for tuning adsorption energies and surface formation energies of minimal two-dimensional models of representative early (i.e., TiO2) and late (i.e., PtO2) transition-metal oxides. Molecular DFT+U simultaneously corrects adsorption energies and surface formation energies of multi-layer models of rutile TiO2(110) and PtO2(110) to resolve the paradoxical description of surface stability and surface reactivity of semi-local DFT.
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Submitted 22 November, 2021;
originally announced November 2021.
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Molecular DFT+U: A Transferable, Low-Cost Approach to Eliminate Delocalization Error
Authors:
Akash Bajaj,
Heather J. Kulik
Abstract:
While density functional theory (DFT) is widely applied for its combination of cost and accuracy, corrections (e.g., DFT+U) that improve it are often needed to tackle correlated transition-metal chemistry. In principle, the functional form of DFT+U, consisting of a set of localized atomic orbitals (AO) and a quadratic energy penalty for deviation from integer occupations of those AOs, enables the…
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While density functional theory (DFT) is widely applied for its combination of cost and accuracy, corrections (e.g., DFT+U) that improve it are often needed to tackle correlated transition-metal chemistry. In principle, the functional form of DFT+U, consisting of a set of localized atomic orbitals (AO) and a quadratic energy penalty for deviation from integer occupations of those AOs, enables the recovery of the exact conditions of piecewise linearity and the derivative discontinuity. Nevertheless, for practical transition-metal complexes, where both atomic states and ligand orbitals participate in bonding, standard DFT+U can fail to eliminate delocalization error (DE). Here, we show that by introducing an alternative valence-state (i.e., molecular orbital or MO) basis to the DFT+U approach, we recover exact conditions in cases where standard DFT+U corrections have no error-reducing effect. This MO-based DFT+U also eliminates DE where standard AO-based DFT+U is already successful. We demonstrate the transferability of our approach on a range of ligand field strengths (i.e., from H_2O to CO), electron configurations (i.e., from Sc to Fe to Zn), and spin states (i.e., low-spin and high-spin) in representative transition-metal complexes.
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Submitted 11 March, 2021;
originally announced March 2021.
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Recovering the flat-plane condition in electronic structure theory at semi-local DFT cost
Authors:
Akash Bajaj,
Jon Paul Janet,
Heather J. Kulik
Abstract:
The flat plane condition is the union of two exact constraints in electronic structure theory: i) energetic piecewise linearity with fractional electron removal or addition and ii) invariant energetics with change in electron spin in a half filled orbital. Semi-local density functional theory (DFT) fails to recover the flat plane, exhibiting convex fractional charge errors (FCE) and concave fracti…
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The flat plane condition is the union of two exact constraints in electronic structure theory: i) energetic piecewise linearity with fractional electron removal or addition and ii) invariant energetics with change in electron spin in a half filled orbital. Semi-local density functional theory (DFT) fails to recover the flat plane, exhibiting convex fractional charge errors (FCE) and concave fractional spin errors (FSE) that are related to delocalization and static correlation errors. We previously showed that DFT+U eliminates FCE but now demonstrate that, like other widely employed corrections (i.e., Hartree Fock exchange), it worsens FSE. To find an alternative strategy, we examine the shape of semi-local DFT deviations from the exact flat plane, and we find this shape to be remarkably consistent across ions and molecules. We introduce the jmDFT approach, wherein corrections are constructed from few-parameter, low- order, functional forms that fit the shape of semi-local DFT errors. We select one such physically intuitive form and incorporate it self-consistently to correct semi-local DFT. We demonstrate on model systems that this jmDFT approach represents the first easy-to-implement, no-overhead approach to recovering the flat plane from semi-local DFT.
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Submitted 6 October, 2017;
originally announced October 2017.