Universität zu Köln

Vinkler-Aviv, Yuval (2019). Bulk thermal transport coefficients in a quantum Hall system and the fundamental difference between thermal and charge response. Phys. Rev. B, 100 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We derive and calculate thermal transport coefficients for a quantum Hall system in the linear response regime, and show that they are exponentially small in the bulk, in contrast to the quantized value of the charge Hall coefficient, thus violating the Wiedemann-Franz law. This corroborates earlier reports about the essential difference between the charge and thermal quantum Hall effect, that originates from the different behavior of the corresponding U(1) and gravitational anomalies. We explicitly calculate the bulk currents when a temperature profile is applied within the bulk, and show that they are proportional to the second derivative of the respective gravitational potential (tidal force), and nonuniversal, in contrast to the charge current which is proportional to the first derivative of the electrochemical potential.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Vinkler-Aviv, Yuval UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-135240
DOI:	10.1103/PhysRevB.100.041106
Journal or Publication Title:	Phys. Rev. B
Volume:	100
Number:	4
Date:	2019
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 QUANTIZATION Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13524