Extra Current and Integer Quantum Hall Conductance in the Spin-Orbit Coupling System

Details Extra Current and Integer Quantum Hall Conductance in the Spin-Orbit Coupling System Extra Current and Integer Quantum Hall Conductance in the Spin-Orbit Coupling System

2007-07-10

arxiv.org/abs/0707.1472v2

EPL, 83 (2008) 27002

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages

Scientific paper

10.1209/0295-5075/83/27002

We study the extra term of particle current in a 2D k-cubic Rashba spin-orbit coupling system and the integer quantization of the Hall conductance in this system. We provide a correct formula of charge current in this system and the careful consideration of extra currents provides a stronger theoretical basis for the theory of the quantum Hall effect which has not been considered before. The non-trivial extra contribution to the particle current density and local conductivity, which originates from the cubic dependence on the momentum operator in the Hamiltonian, will have no effect on the integer quantization of the Hall conductance. The extension of Noether's theorem for the 2D k-cubic Rashba system is also addressed. The two methods reach to exactly the same results.

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