Influences of topological defect and dislocation on the quantum Hall effect

Kai Ma, Jian-Hua Wang, Huan-Xiong Yang, Hua-Wei Fan

Published 2016-01-31Version 1

The influences of topological defect and dislocation on the conductivity behavior of charge carries in the external electromagnetic fields are studied. Particularly the quantum Hall effect is investigated in detail. We find that the nontrivial deformations of the space-time 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.