Abstract
A theory of the weak-field Hall effect of Bloch electrons based on the analysis of the forces acting on electrons is presented. It is argued that the electric current is composed of two contributions, driven by the electric field along current flow and the nondissipative contribution originated in demagnetization currents. The Hall resistance as a function of the electron concentration for the tight-binding model of a crystal with square lattice and body-centered-cubic lattice is described in detail. Smooth transition from electronlike to holelike character of the Hall resistance at the band center is obtained. For comparison the effect of strong magnetic fields is also discussed.
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