Author:
Jiang 蒋 Sheng-Lian 盛莲,Liu 刘 Yanxia 彦霞,Lang 郎 Li-Jun 利君
Abstract
We establish a general mapping from one-dimensional non-Hermitian mosaic models to their non-mosaic counterparts. This mapping can give rise to mobility edges and even Lyapunov exponents in the mosaic models if critical points of localization or Lyapunov exponents of localized states in the corresponding non-mosaic models have already been analytically solved. To demonstrate the validity of this mapping, we apply it to two non-Hermitian localization models: an Aubry–André-like model with nonreciprocal hopping and complex quasiperiodic potentials, and the Ganeshan–Pixley–Das Sarma model with nonreciprocal hopping. We successfully obtain the mobility edges and Lyapunov exponents in their mosaic models. This general mapping may catalyze further studies on mobility edges, Lyapunov exponents, and other significant quantities pertaining to localization in non-Hermitian mosaic models.
Subject
General Physics and Astronomy