Robust extended states in Anderson model on partially disordered random regular graphs

Autor:	Kochergin, Daniil, Khaymovich, Ivan M., Valba, Olga, Gorsky, Alexander
Rok vydání:	2023
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Zdroj:	SciPost Phys. 16, 106 (2024)
Druh dokumentu:	Working Paper
DOI:	10.21468/SciPostPhys.16.4.106
Popis:	In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $\beta$ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in {a certain range of parameters} $(d,\beta)$ at infinitely large uniformly distributed disorder. The critical curve separating extended and localized states is derived analytically and confirmed numerically. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood. Comment: 12 pages, 5 figures, 86 references + 8 pages, 9 figures in Appendices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.05691 Zobrazit plný text záznamu View this record from Arxiv