Quantum chaos on a critical Fermi surface
Strongly Correlated Electrons
2017-03-14 v4 High Energy Physics - Theory
Quantum Physics
Abstract
We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of species of fermions at non-zero density coupled to a gauge field in two spatial dimensions, and determine the Lyapunov rate and the butterfly velocity in an extended random-phase approximation. The thermal diffusivity is found to be universally related to these chaos parameters i.e. the relationship is independent of , the gauge coupling constant, the Fermi velocity, the Fermi surface curvature, and high energy details.
Cite
@article{arxiv.1611.00003,
title = {Quantum chaos on a critical Fermi surface},
author = {Aavishkar A. Patel and Subir Sachdev},
journal= {arXiv preprint arXiv:1611.00003},
year = {2017}
}
Comments
22 pages, 5 figures, some signs and typos fixed, results unchanged. Added comment about cancellation of "classical" processes