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Nernst and Ettingshausen effects in gapped quantum materials

Levin, Michael and Kapustin, Anton and Spodyneiko, Lev (2021) Nernst and Ettingshausen effects in gapped quantum materials. Physical Review B, 103 (23). Art. No. 235101. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20210604-140650926

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Abstract

We investigate whether there could exist topological invariants of gapped two-dimensional materials related to dissipationless thermoelectric transport at low temperatures. We give both macroscopic and microscopic arguments showing that thermoelectric transport coefficients vanish in the limit of zero temperature, and thus topological invariants arise only from the electric Hall conductance and the thermal Hall conductance. Our arguments apply to systems with arbitrarily strong interactions. We also show that there is no analog of the Thouless pump for entropy.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.103.235101DOIArticle
https://arxiv.org/abs/2103.02628arXivDiscussion Paper
ORCID:
AuthorORCID
Levin, Michael0000-0002-5765-6591
Kapustin, Anton0000-0003-3903-5158
Spodyneiko, Lev0000-0002-6099-7717
Additional Information:© 2021 American Physical Society. (Received 15 April 2021; accepted 14 May 2021; published 1 June 2021) A.K. would like to thank Assa Auerbach for a discussion of Středa formulas. The work of A.K. and L.S. was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. A.K. was also supported by the Simons Investigator Award. M.L. was supported in part by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440).
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons Foundation651440
Issue or Number:23
Record Number:CaltechAUTHORS:20210604-140650926
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210604-140650926
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109392
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:07 Jun 2021 20:18
Last Modified:07 Jun 2021 20:18

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