Work

Localization transition, spectrum structure, and winding numbers for one-dimensional non-Hermitian quasicrystals

Year: 2021

Type: article

Abstract: By analyzing the Lyapunov exponent, the authors develop here a general scheme for the study of one-dimensional non-Hermitian quasicrystals. Based on Avila's global theory, they establish a correspondence between a series of non-Hermitian quasicrystals and their corresponding Hermitian models, which allows them to obtain the phase transition properties of non-Hermitian systems just by studying the corresponding Hermitian cases. They also unveil an intriguing feature in the robust spectrum and the intrinsic relation between the winding number and slope of the Lyapunov exponent.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.104.024201

Authors: Yanxia Liu, Qi Zhou, Shu Chen

Institutions: Chinese Academy of Sciences, Institute of Physics, Nankai University, Yangtze River Delta Physics Research Center (China), University of Chinese Academy of Sciences

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences, National Key Research and Development Program of China

Awards: 薛定谔cocycle的动力学及谱行为研究, G3644203587, G4352696510, G4953843186, G926852389