Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter
Disordered Systems and Neural Networks
2023-05-02 v1 High Energy Physics - Theory
Abstract
Assuming the self-consistent theory of localization due to Abou-Chacra et al., we solve the N=1 Wegner model in the regime of strong disorder and high dimension. In the process, we uncover a non-standard electronic phase with spontaneously broken U(1) symmetry -- the missing field-theory basis underlying phenomena associated with fractal eigenstates and singular continuous spectra.
Keywords
Cite
@article{arxiv.2305.00243,
title = {Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter},
author = {J. Arenz and M. R. Zirnbauer},
journal= {arXiv preprint arXiv:2305.00243},
year = {2023}
}
Comments
6 pages, 2 figures