Interaction-induced magnetoresistance in a two-dimensional electron gas - art. no. 045313

We study the interaction-induced quantum correction deltasigma(alphabeta) to the conductivity tensor of electrons in two dimensions for arbitrary Ttau (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 deltasigma(alphabeta) 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 (Ttaumuch less than1) to the ballistic (Ttaugreater than or similar to1) 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 quantum oscillations in the resistivity of lateral superlattices.