Low Temperature Physics: 31, 290 (2005); https://doi.org/10.1063/1.1884433 (18 pages)
Fizika Nizkikh Temperatur: Volume 31, Number 3-4 (March 2005), p. 382-404    ( to contents , go back )

On the theory of galvanomagnetic phenomena in polycrystalline metals

I.M. Kaganova

Institute Physics High Pressure RAN, Troitsk, Moskow region, 142190, Rossia
E-mail: kaganova@hppi.troitsk.ru

M.I. Kaganov

7 Agassiz Ave, 1 Belmont, MA 02478 USA
E-mail: MKaganov@compuserve.com
pos Анотація:

Received November 8, 2004

Abstract

We formulate an algorithm of calculation of the effective conductivity tensor of polycrystalline metals in a uniform magnetic field using the galvanomagnetic characteristics of single crystal grains. The algorithm is based on the expansion in powers of deviations of the tensors from their averaged values. The effective conductivity tensor is calculated in two limiting cases: in weak magnetic fields for polycrystals of metals with an arbitrary electron energy spectrum and in strong magnetic fields for metals with closed Fermi surfaces. In the last case the starting formulae are the result of the theory of galvanomagnetic phenomena, which uses the classic Boltzmann equation for the distribution function of electrons with an arbitrary dispersion law. For polycrystals of cubic metals in weak magnetic fields and polycrystals of metals with closed Fermi surfaces in strong magnetic fields the obtained formulae are of the same accuracy as that of the initial expressions.

PACS:
72.15.Gd - Galvanomagnetic and other magnetotransport effects (see also 75.47.-m Magnetotransport phenomena; materials for magnetotransport)

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