Theoretical study of interacting hole gas in p-doped bulk III-V semiconductors

Abstract

We study the homogeneous interacting hole gas in $p$-doped bulk III-V semiconductors. The structure of the valence band is modelled by Luttinger's Hamiltonian in the spherical approximation, giving rise to heavy and light hole dispersion branches, and the Coulomb repulsion is taken into account via a self-consistent Hartree-Fock treatment. As a nontrivial feature of the model, the self-consistent solutions of the Hartree-Fock equations can be found in an almost purely analytical fashion, which is not the case for other types of effective spin-orbit coupling terms. In particular, the Coulomb interaction renormalizes the Fermi wave numbers for heavy and light holes. As a consequence, the ground state energy found in the self-consistent Hartree-Fock approach and the result from lowest-order perturbation theory do not agree. We discuss the consequences of our observations for ferromagnetic semiconductors, and for the possible observation of the spin-Hall effect in bulk $p$-doped semiconductors. Finally, we also investigate elementary properties of the dielectric function in such systems.

9 pages, 5 figures, title slightly changed in the course of editorial process, a few references added, version to appear in Phys. Rev. B

References in corpus (6)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Dissipation effects in spin-Hall transport of electrons and holes
• Spin Hall Effect
• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Critical Temperatures of a Two-Band Model for Diluted Magnetic Semiconductors

Cited by in corpus (8)

• Electron spin relaxation in bulk III-V semiconductors from a fully microscopic kinetic spin Bloch equation approach
• Dielectric function, screening, and plasmons of graphene in the presence of spin-orbit interactions
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Dynamical current-current susceptibility of gapped graphene
• Hole spin relaxation in intrinsic and $p$-type bulk GaAs
• Dielectric function of the semiconductor hole gas
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation