Hall Conductivity in the Cosmic Defect and Dislocation Spacetime
Kai Ma1** , Jian-Hua Wang1 , Huan-Xiong Yang2 , Hua-Wei Fan3
1 School of Physics Science, Shaanxi University of Technology, Hanzhong 7230002 Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 2000263 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710000
Abstract ：Influences of topological defect and dislocation on conductivity behavior of charge carriers 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.
收稿日期: 2016-06-10
出版日期: 2016-10-27
:
04.62.+v
(Quantum fields in curved spacetime)
11.27.+d
(Extended classical solutions; cosmic strings, domain walls, texture)
12.20.Ds
(Specific calculations)
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2016, Vol. 33 
