Spin-Orbit Coupling Effects in Zinc Blende Structures

Abstract

Character tables for the "group of the wave vector" at certain points of symmetry in the Brillouin zone are given. The additional degeneracies due to time reversal symmetry are indicated. The form of energy vz wave vector at these points of symmetry is derived. A possible reason for the complications which may make a simple effective mass concept invalid for some crystals of this type structure will be presented. HE e6'ect of symmetry on the energy band structures of crystals of the zinc blende type can be readily derived using the machinery developed by

Transport properties for a Luttinger liquid wire with Rashba spin–orbit coupling and Zeeman splitting

“…In layered semiconductors devices, the two predominant types of SOC are Dresselhaus SOC 6 and Rashba SOC. 7 The former arises from the breaking of inversion symmetry by the inherent asymmetry of the atomic arrangement in the structure and is not very amenable to external manipulation. The latter, on the other hand, arises from band bending at the interfaces between semiconductor layers and/or any external electric fields applied to the device.…”

Understanding spin Hall effect in two-dimensional fermionic systems with generic spin–orbit interaction in III–V heterostructures

“…When l = 1, the Hamiltonian represents two dimensional electron gas with the k-linear Rashba 28,29 or Dresselhaus spin-orbit interaction 30 . The spin-orbit interaction corresponding to l = 2 arises when an in-plane magnetic field is applied to the 2D heavy hole gas 27,31,32 formed at the GaAs heterojunctions.…”

Some exact identities connecting one- and two-particle Green's functions in spin–orbit coupling systems

“…For the system with other kind of spin-orbit couplings, e.g., Luttinger model, Dresselhaus spin-orbit coupling or 2D cubic Rashba model, 25,26,27,28 the Hamiltonian maybe include square or cubic terms in momentum. According to the definition, the expressions of the spin-current and torque will become more complex, so, the concrete form of these identities will be also become more complex, but the principle is the same.…”