Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-06-02
Phys. Rev. B 69, 045313 (2004)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
35 pages, 14 figures
Scientific paper
10.1103/PhysRevB.69.045313
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.
Gornyi Igor V.
Mirlin Alexander D.
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