Entanglement entropy of non-Hermitian free fermions. (10th September 2021)

• Record Type: Journal Article
• Authors: Guo, Yi-Bin; Yu, Yi-Cong; Huang, Rui-Zhen; Yang, Li-Ping; Chi, Run-Ze; Liao, Hai-Jun; Xiang, Tao
• Is Part Of: Journal of physics. Volume 33:Number 47(2021)
• Publication Date: 2021-09-10
• Subjects: non-Hermitian -- entanglement -- logarithmic correction -- free fermionic models -- correlation matrix; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/ac216e
• Languages: English
• ISSNs: 0953-8984

Abstract

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.