Static polarizability of two-dimensional hole gases

Abstract

We have calculated the density-density (Lindhard) response function of a homogeneous two-dimensional (2D) hole gas in the static (omega=0) limit. The bulk valence-band structure comprising heavy-hole (HH) and light-hole (LH) states is modeled using Luttinger's kdotp approach within the axial approximation. We elucidate how, in contrast to the case of conduction electrons, the Lindhard function of 2D holes exhibits unique features associated with (i) the confinement-induced HH-LH energy splitting and (ii) the HH-LH mixing arising from the charge carriers' in-plane motion. Implications for the dielectric response and related physical observables are discussed.

11 pages, 3 figures, IOP latex style, v2: minor changes, to appear in NJP

References in corpus (6)

• Screening properties of the two-dimensional electron gas with spin-orbit coupling
• Quantum Monte Carlo study of the two-dimensional electron gas in presence of Rashba interaction
• Theoretical study of interacting hole gas in p-doped bulk III-V semiconductors
• Optical Conductivity of a Two-Dimensional Electron Liquid with Spin-Orbit Interaction
• Dielectric function of the semiconductor hole gas
• Surface states, Friedel oscillations, and spin accumulation in p-doped semiconductors

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• Dielectric function of the semiconductor hole liquid: Full frequency and wave vector dependence
• Exporting superconductivity across the gap: Proximity effect for semiconductor valence-band states due to contact with a simple-metal superconductor
• Plasmons in spin-orbit coupled two-dimensional hole gas systems
• Suppression of Coulomb exchange energy in quasi-two-dimensional hole systems
• Carrier-density-controlled anisotropic spin susceptibility of two-dimensional hole systems
• RKKY interaction induced by two-dimensional hole gases