Transverse magnetoresistance and thermopower in metals

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Abstract
The transport equation is solved for a quantum-mechanical system in a transverse magnetic field. The solution gives the linear transport coefficients for electrostatic fields and temperature gradients for electrons in metals. In term of a small expansion parameter, the solution to lowest order confirms the existing semiclassical theory on electrical conductivity and thermal conductivity. We also found that the electron-phonon mass enhancement factor is present in the adiabatic thermopower. The next-higher-order approximation exhibits the anisotropic effect caused by the presence of magnetic fields and explains the experimentally observed linear magnetoresistance in simple metals under a high magnetic field.

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