Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 113, Issue 34, Pages 9463-9468Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1608881113
Keywords
Weyl metals; hydrodynamics; thermoelectric effects; anomalies
Categories
Funding
- Gordon and Betty Moore Foundation EPiQS Initiative [GBMF4306]
- National Science Foundation [DMR-1360789]
- Multi-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
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We present a theory of thermoelectric transport in weakly disordered Weyl semimetals where the electron-electron scattering time is faster than the electron-impurity scattering time. Our hydrodynamic theory consists of relativistic fluids at each Weyl node, coupled together by perturbatively small intervalley scattering, and long-range Coulomb interactions. The conductivity matrix of our theory is Onsager reciprocal and positive semidefinite. In addition to the usual axial anomaly, we account for the effects of a distinct, axial-gravitational anomaly expected to be present in Weyl semimetals. Negative thermal magnetoresistance is a sharp, experimentally accessible signature of this axial-gravitational anomaly, even beyond the hydrodynamic limit.
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