Quantum chaos on a critical Fermi surface.
basic_science · Level V
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- Record sourced from PubMed, PMID 28174270.
- Also identified by DOI 10.1073/pnas.1618185114 and PMC identifier 5338377.
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Abstract
We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of [Formula: see text] species of fermions at nonzero density coupled to a [Formula: see text] 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 [Formula: see text], the gauge-coupling constant, the Fermi velocity, the Fermi surface curvature, and high-energy details.