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

• URL: http://arxiv.org/abs/2512.20697v1
• Date: Tue, 23 Dec 2025 19:00:02 GMT
• Title: Simulating fermionic fractional Chern insulators with infinite projected entangled-pair states
• Authors: Hao Chen, Titus Neupert, Juraj Hasik,
• Abstract summary: Infinite projected entangled-pair states (iPEPS) provide a powerful variational framework for two-dimensional quantum matter.<n>We extend this approach by variationally optimizing $U(1)$-symmetric fermionic iPEPS for a fractional insulator Chern (FCI)<n>We find evidence for a critical bond dimension, above which the ansatz faithfully represents the FCI phase.
• Score: 4.578255028583574
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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