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Quantum chaos on a critical Fermi surface

Oct 31, 2016

21 pages

Published in:

Proc.Nat.Acad.Sci. 114 (2017) 1844-1849

e-Print:

1611.00003 [cond-mat.str-el]

DOI:

10.1073/pnas.1618185114

View in:

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Abstract: (arXiv)

We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of

N

species of fermions at non-zero density coupled to a

U(1)

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

N

, the gauge coupling constant, the Fermi velocity, the Fermi surface curvature, and high energy details.

Note:

22 pages, 5 figures, some signs and typos fixed, results unchanged. Added comment about cancellation of "classical" processes

quasiparticle: excited state
coupling constant: gauge
energy: high
Fermi surface
chaos
velocity
random phase approximation
gauge field theory
many-body problem
curvature

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