Weak-field Hall effect and static polarizability of Bloch electrons

Details Weak-field Hall effect and static polarizability of Bloch electrons Weak-field Hall effect and static polarizability of Bloch electrons

2008-11-20

arxiv.org/abs/0811.3354v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.79.115115

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, that driven by the electric field along current flow and the non-dissipative 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. For comparison the effect of strong magnetic fields is also discussed.

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