Hall conductivity in the cosmic defect and dislocation space-time

Abstract

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.

4 pages

References in corpus (10)

• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• Landau quantization for a neutral particle in presence of topological defects
• Landau Quantization in the Spinning Cosmic String Spacetime
• Torsion and noninertial effects on a nonrelativistic Dirac particle
• Noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect

Cited by in corpus (6)

• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• On an atom with a magnetic quadrupole moment in a rotating frame
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Dynamics of massive and massless particles in the spacetime of a wiggly cosmic dislocation