Diamagnetic current and positive Hall coefficients of disordered metals

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Abstract
Positive Hall coefficients of non-magnetic disordered metals are discussed in the light of an exact formula derived by Itoh in 1992. We re-examine the simplest tight-binding model of a random liquid with single s orbitals, in the single-site approximation adopted by Matsubara and Kaneyoshi. The exact formula leads to an additional contribution, which comes from the diamagnetic current and makes the Hall coefficient positive when the band is more than half-filled. The result is physically plausible and could explain the occurrence of positive Hall coefficients, without recourse to the concept of quasi-Bloch states due to local order or invoking a special mechanism such as skew scattering.

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