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Condensed Matter > Strongly Correlated Electrons

arXiv:2512.20697 (cond-mat)
[Submitted on 23 Dec 2025]

Title:Simulating fermionic fractional Chern insulators with infinite projected entangled-pair states

Authors:Hao Chen, Titus Neupert, Juraj Hasik
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Abstract:Infinite projected entangled-pair states (iPEPS) provide a powerful variational framework for two-dimensional quantum matter and have been widely used to capture bosonic topological order, including chiral spin liquids. Here we extend this approach to \emph{fermionic} topological order by variationally optimizing $U(1)$-symmetric fermionic iPEPS for a fractional Chern insulator (FCI), with bond dimensions up to $D=9$. We find evidence for a critical bond dimension, above which the ansatz faithfully represents the FCI phase. The FCI state is characterized using bulk observables, including the equal-time single-particle Green's function and the pair-correlation function, as well as the momentum-resolved edge entanglement spectrum. To enable entanglement-spectrum calculations for large iPEPS unit cells, we introduce a compression scheme and show that the low-lying part of the spectrum is already well converged at relatively small cutoff dimensions.
Comments: 10 pages, 14 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
Cite as: arXiv:2512.20697 [cond-mat.str-el]
  (or arXiv:2512.20697v1 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2512.20697

Submission history

From: Hao Chen [view email]
[v1] Tue, 23 Dec 2025 19:00:02 UTC (1,050 KB)
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