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.

arXiv comment9 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 (22)

• Spintronics: Fundamentals and applications
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors
• Non-ballistic spin field-effect transistor
• Ferromagnetic Semiconductors: Moving Beyond (Ga,Mn)As
• Mn Interstitial Diffusion in (Ga,Mn)As
• Prospects of high temperature ferromagnetism in (Ga,Mn)As semiconductors
• Rashba spin splitting in two-dimensional electron and hole systems
• Anisotropic transport in the two-dimensional electron gas in the presence of spin-orbit coupling
• Transition temperature of ferromagnetic semiconductors: a dynamical mean field study
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Dissipation effects in spin-Hall transport of electrons and holes
• Disorder effects in diluted magnetic semiconductors
• Theory of Magnetic Properties and Spin-Wave Dispersion for Ferromagnetic (Ga,Mn)As
• Spin Hall Effect
• Chiral spin resonance and spin-Hall conductivity in the presence of the electron-electron interactions
• Metal-Insulator Transition and Ferromagnetism in Diluted Magnetic Semiconductors
• Fermi liquid parameters in 2D with spin-orbit interaction
• Small-$q$ Anomaly in the Dielectric Function and High-Temperature Oscillations of Screening Potential in 2D Electron Gas with Spin-Orbit Coupling
• Critical Temperatures of a Two-Band Model for Diluted Magnetic Semiconductors
• Spin relaxation in the presence of electron-electron interactions

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• Giant current-driven domain wall mobility in (Ga,Mn)As
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• Hole spin relaxation in intrinsic and $p$-type bulk GaAs
• High density limit of the two-dimensional electron liquid with Rashba spin-orbit coupling
• Dielectric function of the semiconductor hole gas
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• Static polarizability of two-dimensional hole gases
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Suppression of Coulomb exchange energy in quasi-two-dimensional hole systems
• Response properties of III-V dilute magnetic semiconductors: interplay of disorder, dynamical electron-electron interactions and band-structure effects
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• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation
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• Electrical and optical conductivities of hole gas in $p$-doped bulk III-V semiconductors
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field