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Quantum transport properties of two-dimensional systems in disordered magnetic fields with a fixed sign

Tohru Kawarabayashi·Tomi Ohtsuki
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Abstract

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is found that in the limit of weak disorder the conductivity exhibits a qualitatively different behavior from that in the conventional random magnetic fields with zero mean. The conductivity is estimated by the equation of motion method and by the two-terminal Landauer formula. It is demonstrated that the conductance stays on the order of $e^2/h$ even in the weak disorder limit. The present behavior can be interpreted in terms of the Drude formula. The Shubnikov-de Haas oscillation is also observed in the weak disorder regime.

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Tohru Kawarabayashi, Tomi Ohtsuki. 2004-11-08. Quantum transport properties of two-dimensional systems in disordered magnetic fields with a fixed sign. https://doi.org/10.1103/physrevb.71.045302

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