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
Full text not available from this repository.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: |
|
||||||||||||
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: |
|
||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/39639 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |