Klevtsov, S. and Wiegmann, P. (2015). Geometric Adiabatic Transport in Quantum Hall States. Phys. Rev. Lett., 115 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We argue that in addition to the Hall conductance and the nondissipative component of the viscous tensor, there exists a third independent transport coefficient, which is precisely quantized. It takes constant values along quantum Hall plateaus. We show that the new coefficient is the Chern number of a vector bundle over moduli space of surfaces of genus 2 or higher and therefore cannot change continuously along the plateau. As such, it does not transpire on a sphere or a torus. In the linear response theory, this coefficient determines intensive forces exerted on electronic fluid by adiabatic deformations of geometry and represents the effect of the gravitational anomaly. We also present the method of computing the transport coefficients for quantum Hall states.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Klevtsov, S.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wiegmann, P.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-396393
DOI: 10.1103/PhysRevLett.115.086801
Journal or Publication Title: Phys. Rev. Lett.
Volume: 115
Number: 8
Date: 2015
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ZUMINO-WITTEN MODELS; QUANTIZATION; CONDUCTANCEMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/39639

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