Static polarizability of two-dimensional hole gases

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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

Scientific paper

10.1088/1367-2630/12/9/093002

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.

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