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Hall Conductivity in the Cosmic Defect and Dislocation Spacetime |
| Kai Ma1**, Jian-Hua Wang1, Huan-Xiong Yang2, Hua-Wei Fan3 |
1School of Physics Science, Shaanxi University of Technology, Hanzhong 723000
2Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 200026
3School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710000
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| Cite this article: |
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Kai Ma, Jian-Hua Wang, Huan-Xiong Yang et al 2016 Chin. Phys. Lett. 33 100401 |
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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.
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Received: 10 June 2016
Published: 27 October 2016
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| PACS: |
04.62.+v
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(Quantum fields in curved spacetime)
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11.27.+d
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(Extended classical solutions; cosmic strings, domain walls, texture)
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12.20.Ds
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(Specific calculations)
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| Fund: Supported by the China Scholarship Council under Grant No 201207010002, the Hanjiang Scholar Project of Shaanxi University of Technology, the National Natural Science Foundation of China under Grant No 11147181, the Scientific Research Project of Shaanxi Province under Grant Nos 2009K01-54 and 12JK0960, the Startup Foundation of the University of Science and Technology of China, and the Project of Knowledge Innovation Program of the Chinese Academy of Sciences. |
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