Hall Effect in Two-Dimensional Disorderd Systems

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説明

The Hall conductivity, σxy, is evaluated in two-dimensional random systems to the leading order of singular behavior at low frequency, ω. At weak magnetic field the result is σxy=σxy0 [1−1⁄πεFτ ln 1⁄ωτ] where σxy0, εF and τ are ordinary Hall conductivity, the Fermi energy, and the relaxation time due to impurity scattering, respectively. This result together with that for σxx indicates that the effective carrier number deduced from the Hall coefficient does not contain leading singular terms and that only the relaxation time is logarithmically reduced.

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