A general approach to the exact localized transition points of 1D mosaic disorder models

Autor:	Liu, Yanxia
Rok vydání:	2022
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Quantum Physics
Druh dokumentu:	Working Paper
Popis:	In this paper, we present a general correspondence between the mosaic and non-mosaic models, which can be used to obtain the exact solution for the mosaic ones. This relation holds not only for the quasicrystal models, but also for the Anderson models. Despite the different localization properties of the specific models, this relationship shares a unified form. Applying our method to the mosaic Anderson models, we find that there is a discrete set of extended states. At last, we also give the general analytical mobility edge for the mosaic slowly varying potential models and the mosaic Ganeshan-Pixley-Das Sarma models. Comment: 6 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.02762 Zobrazit plný text záznamu View this record from Arxiv