Temperature dependence of the normal-state Hall coefficient of a quasi-one-dimensional metal
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We develop a systematic theory of the Hall effect in Q1D conductors in both weak and strong magnetic fields for a model where the electron relaxation time varies over the Fermi surface. At high temperatures, the Hall coefficient saturates at the value $-β/ecn$, where the dimensionless coefficient $β$ is determined by the curvature of the longitudinal dispersion law of electrons, $e$ the electron charge, $c$ is the speed of light, and $n$ is the hole concentration. At low temperatures, where a strong variation of the relaxation rate over the Fermi surface develops in the form of ``hot spots'', the Hall coefficient becomes temperature-dependent and may change sign for a particular choice of the transverse dispersion law parameters. In our model, the sign changes in a weak, but not in a strong magnetic field.
5 pages, 3 figures, submitted to Synthetic Metals, proceedings of International Conference on Synthetic Metals, 1998, Montpellier, France. v.2: few references are added
5 pages, 3 figures, submitted to Synthetic Metals, proceedings of International Conference on Synthetic Metals, 1998, Montpellier, France. v.2: few references are added