Transfer operator approach to 1d random band matrices
Mathematical Physics
2019-05-22 v1 math.MP
Abstract
We discuss an application of the transfer operator approach to the analysis of the different spectral characteristics of 1d random band matrices (correlation functions of characteristic polynomials, density of states, spectral correlation functions). We show that when the bandwidth crosses the threshold , the model has a kind of phase transition (crossover), whose nature can be explained by the spectral properties of the transfer operator.
Cite
@article{arxiv.1905.08252,
title = {Transfer operator approach to 1d random band matrices},
author = {Mariya Shcherbina and Tatyana Shcherbina},
journal= {arXiv preprint arXiv:1905.08252},
year = {2019}
}
Comments
19p. arXiv admin note: substantial text overlap with arXiv:1802.03813