Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems

Autor:	Masuda, Shohei, Nakamura, Masaaki
Rok vydání:	2021
Předmět:	Condensed Matter - Strongly Correlated Electrons
Zdroj:	J. Phys. Soc. Jpn. 91, 043701 (2022)
Druh dokumentu:	Working Paper
DOI:	10.7566/JPSJ.91.043701
Popis:	We discuss an extension of the Resta's electronic polarization to non-Hermitian systems with periodic boundary conditions. We introduce the ``electronic polarization'' as an expectation value of the exponential of the position operator in terms of the biorthogonal basis. We found that there appears a finite region where the polarization is zero between two topologically distinguished regions, and there is one-to-one correspondence between the polarization and the winding number which takes half-odd integers as well as integers. We demonstrate this argument in the non-Hermitian Su-Schrieffer-Heeger model. Comment: 5 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.10706 Zobrazit plný text záznamu View this record from Arxiv