Universität zu Köln

Park, Jinhong, Golan, Omri, Vinkler-Aviv, Yuval and Rosch, Achim ORCID: 0000-0002-6586-5721 (2022). Thermal Hall response: Violation of gravitational analogs and Einstein relations. Phys. Rev. B, 105 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

The response of solids to temperature gradients is often described in terms of a gravitational analog: the effect of a space-dependent temperature is modeled using a space-dependent metric. We investigate the validity of this approach in describing the bulk response of quantum Hall states and other gapped chiral topological states. To this end, we consider the prototypical Haldane model in two different cases of (i) a space-dependent electrostatic potential and gravitational potential and (ii) a space-dependent temperature and chemical potential imprinted by a weak coupling to noninteracting electron baths or phonons. We find that the thermal analog applied to theses cases is invalid; while a space-dependent gravitational potential induces transverse energy currents proportional to the third derivative of the gravitational potential, the response to an analogous temperature profile vanishes in limit of weak coupling to the thermal bath. Similarly, the Einstein relation, the analogy between the electrostatic potential and the internal chemical potential, is not valid in such a setup.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Park, Jinhong UNSPECIFIED UNSPECIFIED UNSPECIFIED Golan, Omri UNSPECIFIED UNSPECIFIED UNSPECIFIED Vinkler-Aviv, Yuval UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-668329
DOI:	10.1103/PhysRevB.105.205419
Journal or Publication Title:	Phys. Rev. B
Volume:	105
Number:	20
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TRANSPORT Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66832