Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment

Viktor Könye, Masao Ogata

Published 2020-06-29Version 1

Using a microscopic theory for the magnetoconductivity at low magnetic fields we show how the Hall and longitudinal conductivity can be calculated in the low scattering rate limit. In the lowest order of the scattering rate, we recover the result of the semiclassical Boltzmann transport theory. At higher order, we get quantum corrections containing the Berry curvature and the orbital magnetic moment. The quantum corrections vanish if time reversal symmetry holds.