Interaction-induced magnetoresistance in a two-dimensional electron gas
I. V. Gornyi, A. D. Mirlin
Abstract
We study the interaction-induced quantum correction δσαβ to the conductivity tensor of electrons in two dimensions for arbitrary Tτ(where T is the temperature and τthe transport scattering time), magnetic field, and type of disorder. A general theory is developed, allowing us to express δσαβ in terms of classical propagators (``ballistic diffusons''). The formalism is used to calculate the interaction contribution to the longitudinal and the Hall resistivities in a transverse magnetic field in the whole range of temperature from the diffusive (Tτ<< 1) to the ballistic (Tτ> 1) regime, both in smooth disorder and in the presence of short-range scatterers. Further, we apply the formalism to anisotropic systems and demonstrate that the interaction induces novel quantum oscillations in the resistivity of lateral superlattices.
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