Anisotropic scattering and quantum magnetoresistivities of a periodically modulated 2D electron gas

Details Anisotropic scattering and quantum magnetoresistivities of a periodically modulated 2D electron gas Anisotropic scattering and quantum magnetoresistivities of a periodically modulated 2D electron gas

2000-12-10

arxiv.org/abs/cond-mat/0012165v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 8 figures, Revtex, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.63.115322

We calculate the longitudinal conductivities of a two-dimensional noninteracting electron gas in a uniform magnetic field and a lateral electric or magnetic periodic modulation in one spatial direction, in the quantum regime. We consider the effects of the electron-impurity scattering anisotropy through the vertex corrections on the Kubo formula, which are calculated with the Bethe-Salpeter equation, in the self-consistent Born approximation. We find that due to the scattering anisotropy the band conductivity increases, and the scattering conductivities decrease and become anisotropic. Our results are in qualitative agreement with recent experiments.

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