A fast approach to Anderson localization for even-$N$ Dyson insulator

Autor:	Stamatiou, G. T., Evangelou, S. N.
Rok vydání:	2020
Předmět:	Condensed Matter - Disordered Systems and Neural Networks
Druh dokumentu:	Working Paper
Popis:	Dyson insulators with random hoppings in a lattice approach localization faster compared to the usual Anderson insulators with site disorder. For even-$N$ lattice sites the Dyson insulators mimic topological insulators with a pseudo-gap at the band center and the energy-level statistics obtained via the $P(S)$ distribution is of an intermediate type close to the Anderson localized Poisson limit. For odd-$N$ level-repulsion and Wigner statistics appears as in the quasi-metallic regime of $2D$ Anderson insulators, plus a single $E=0$ mode protected by chiral symmetry. The distribution of the participation ratio and the multifractal dimensions of the midband state are computed. In $1D$ the Dyson state is localized and in $2D$ is fractal. Our results might be relevant for recent experimental studies of chiral localization in photonic waveguide arrays. Comment: 7 pages 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.04053 Zobrazit plný text záznamu View this record from Arxiv