On the Spherical Two-Dimensional Electron Gas
Abstract
We investigate the many-body properties of a two-dimensional electron gas constrained to the surface of a sphere, a system which is physically realized in multielectron bubbles in liquid helium. A second-quantization formalism, suited for the treatment of a spherical two-dimensional electron gas (S2DEG), is introduced. Within this formalism, the dielectric response properties of the S2DEG are derived, and we identify both collective excitations and a spectrum of single-particle excitations. We find that the single-particle excitations are constrained to a well-defined region in the angular momentum - energy plane. The collective excitations differ in two important aspects from those of a flat 2DEG: on a sphere, the 'spherical plasmons' have a discrete frequency spectrum and the lowest frequency is nonzero.
Cite
@article{arxiv.cond-mat/0203212,
title = {On the Spherical Two-Dimensional Electron Gas},
author = {J. Tempere and I. F. Silvera and J. T. Devreese},
journal= {arXiv preprint arXiv:cond-mat/0203212},
year = {2009}
}
Comments
10 pages, 7 figures, Mathematica notebook included, accepted for publication in Phys. Rev. B