Interaction-Induced Magnetization of the Two-Dimensional Electron Gas

Details Interaction-Induced Magnetization of the Two-Dimensional Electron Gas Interaction-Induced Magnetization of the Two-Dimensional Electron Gas

2000-04-17

arxiv.org/abs/cond-mat/0004289v1

Phys. Rev. B 62, 1935 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages including 4 ps figures; uses revtex and epsf.sty

Scientific paper

10.1103/PhysRevB.62.1935

We consider the contribution of electron-electron interactions to the orbital magnetization of a two-dimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by combining diagrammatic perturbation theory with semiclassical techniques. At sufficiently low temperatures, the interaction-induced magnetization overwhelms the Landau and Pauli contributions. Curiously, the interaction-induced magnetization is third-order in the (renormalized) Coulomb interaction. We give a simple interpretation of this effect in terms of classical paths using a renormalization argument: a polygon must have at least three sides in order to enclose area. To leading order in the renormalized interaction, the renormalization argument gives exactly the same result as the full treatment.

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