Entanglement Entropy of Non-Hermitian Free Fermions
- URL: http://arxiv.org/abs/2105.09793v3
- Date: Thu, 2 Sep 2021 05:19:21 GMT
- Title: Entanglement Entropy of Non-Hermitian Free Fermions
- Authors: Yi-Bin Guo, Yi-Cong Yu, Rui-Zhen Huang, Li-Ping Yang, Run-Ze Chi,
Hai-Jun Liao and Tao Xiang
- Abstract summary: We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry.
Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
- Score: 59.54862183456067
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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