Affiliation:
1. Max Planck Institute for the Physics of Complex Systems
2. Institute for Physics of Microstructures, Russian Academy of Sciences
Abstract
We study the effects of partial correlations in kinetic hopping terms
of long-range disordered random matrix models on their localization
properties. We consider a set of models interpolating between
fully-localized Richardson’s model and the celebrated Rosenzweig-Porter
model (with implemented translation-invariant symmetry). In order to do
this, we propose the energy-stratified spectral structure of the hopping
term allowing one to decrease the range of correlations gradually. We
show both analytically and numerically that any deviation from the
completely correlated case leads to the emergent non-ergodic
delocalization in the system unlike the predictions of localization of
cooperative shielding. In order to describe the models with correlated
kinetic terms, we develop the generalization of the Dyson Brownian
motion and cavity approaches basing on stochastic matrix process with
independent rank-one matrix increments and examine its applicability to
the above set of models.
Funder
Russian Science Foundation
Subject
General Physics and Astronomy
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献