We study the interaction-induced quantum correction \delta\sigma_{\alpha\beta} to the conductivity tensor of electrons in two dimensions for arbitrary T\tau (where T is the temperature and \tau the transport scattering time), magnetic field, and type of disorder. A general theory is developed, allowing us to express \delta\sigma_{\alpha\beta} 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 (T\tau << 1) to the ballistic (T\tau > 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.
@article{arxiv.cond-mat/0306029,
title = {Interaction-induced magnetoresistance in a two-dimensional electron gas},
author = {I. V. Gornyi and A. D. Mirlin},
journal= {arXiv preprint arXiv:cond-mat/0306029},
year = {2009}
}