Entanglement Entropy of Non-Hermitian Free Fermions
Abstract
We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems. For any one-dimensional one-band system, we prove that each Fermi point of the system contributes exactly 1/2 to the coefficient c of the logarithmic correction. Moreover, this relation between c and Fermi point is verified for more general one-dimensional and two-dimensional cases by numerical calculations and finite-size scaling analysis. In addition, we also study the single-particle and density-density correlation functions.
Keywords
Cite
@article{arxiv.2105.09793,
title = {Entanglement Entropy of Non-Hermitian Free Fermions},
author = {Yi-Bin Guo and Yi-Cong Yu and Rui-Zhen Huang and Li-Ping Yang and Run-Ze Chi and Hai-Jun Liao and Tao Xiang},
journal= {arXiv preprint arXiv:2105.09793},
year = {2021}
}
Comments
10 pages, 8 figures and 1 table, includes appendix