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.
journal_name
Proc Natl Acad Sci U S Aauthors
Patel AA,Sachdev Sdoi
10.1073/pnas.1618185114subject
Has Abstractpub_date
2017-02-21 00:00:00pages
1844-1849issue
8eissn
0027-8424issn
1091-6490pii
1618185114journal_volume
114pub_type
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