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On the Spherical Two-Dimensional Electron Gas

J. Tempere·I. F. Silvera·J. T. Devreese
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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.

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J. Tempere, I. F. Silvera, J. T. Devreese. 2002-03-10. On the Spherical Two-Dimensional Electron Gas. https://doi.org/10.1103/physrevb.65.195418

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