期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 114, 期 8, 页码 1844-1849出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1618185114
关键词
quantum chaos; non-Fermi liquids; thermal transport; quantum criticality
资金
- National Science Foundation [DMR-1360789]
- Multidisciplinary University Research Initiative Grant from Army Research Office [W911NF-14-1-0003]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Cenovus Energy at Perimeter Institute
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1360789] Funding Source: National Science Foundation
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 nonzero 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.
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