2007/07/31 by Yi Li, Tianxing Ma, Ruibao Tao +1
Engineering · Materials Science · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1209/0295-5075/83/27002
published as EPL, 83 (2008) 27002 · 6 pages
arxiv created 2008/06/23 · openalex publication_date 2008/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.