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We consider the contribution of electron-electron interactions to the orbitalmagnetization of a two-dimensional electron gas, focusing on the ballisticlimit in the regime of negligible Landau-level spacing. This regime can bedescribed by combining diagrammatic perturbation theory with semiclassicaltechniques. At sufficiently low temperatures, the interaction-inducedmagnetization overwhelms the Landau and Pauli contributions. Curiously, theinteraction-induced magnetization is third-order in the (renormalized) Coulombinteraction. We give a simple interpretation of this effect in terms ofclassical paths using a renormalization argument: a polygon must have at leastthree sides in order to enclose area. To leading order in the renormalizedinteraction, the renormalization argument gives exactly the same result as thefull treatment.Comment: 11 pages including 4 ps figures; uses revtex and epsf.st

Interaction-induced magnetization of a two-dimensional electron gas