Non-ergodic extended states in the SYK model
Strongly Correlated Electrons
2019-09-25 v3 Disordered Systems and Neural Networks
Abstract
We analytically study spectral correlations and many body wave functions of an SYK-model deformed by a one body contribution to the Hamiltonian. Our main result is the identification of a wide range of intermediate coupling strengths where the spectral statistics is of Wigner-Dyson type, while wave functions are non-uniformly distributed over Fock space and show fractal behavior. The structure of the theory suggests that such manifestations of non-ergodic extendedness may be a prevalent phenomenon in strongly interacting chaotic quantum systems.
Cite
@article{arxiv.1901.02389,
title = {Non-ergodic extended states in the SYK model},
author = {T. Micklitz and Felipe Monteiro and Alexander Altland},
journal= {arXiv preprint arXiv:1901.02389},
year = {2019}
}
Comments
4 pages, 3 figures, supplementary material, published version