Theory of the Hall Effect in Disordered Systems: Impurity-Band Conduction
- 11 March 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 143 (2) , 652-656
- https://doi.org/10.1103/physrev.143.652
Abstract
A general quantum-mechanical formula for the low-field Hall effect is derived in the density matrix approach, thus making it possible to treat this effect in disordered systems. With some assumptions about the one-electron matrix elements involved, the Hall and ordinary conductivities are correlated for the impurity-band conduction in the "metallic range." According to our results, the sign of the Hall effect depends on the degree of filling of the impurity band.Keywords
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