Hall conductivity in the cosmic defect and dislocation space-time

Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial deformations of spacetime due to topological defect and dislocat...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: Ma, Kai, Wang, Jian-Hua, Huan-Xiong, Yang, Hua-Wei, Fan
Format: Article
Language:English
Subjects:
Conductivity
Current carriers
Defects
Deformation effects
Dislocations
Electric fields
Electromagnetic fields
Perturbation theory
Quantum Hall effect
Relativity
Topology
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Summary:Influences of topological defect and dislocation on conductivity behavior of charge carries in external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. It is found that the nontrivial deformations of spacetime due to topological defect and dislocation produce an electric current at the leading order of perturbation theory. This current then induces a deformation on the Hall conductivity. The corrections on the Hall conductivity depend on the external electric fields, the size of the sample and the momentum of the particle.
ISSN:2331-8422
DOI:10.48550/arxiv.1602.00186