Extra current and integer quantum Hall conductance in the spin-orbit coupling systemY. Li, T. Ma and R. B. Tao
Department of Physics, Fudan University - Shanghai 200433, China
received 26 March 2008; accepted in final form 27 May 2008; published July 2008
published online 23 June 2008
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.
73.43.-f - Quantum Hall effects.
73.23.-b - Electronic transport in mesoscopic systems.
© EPLA 2008