Phys. Rev. Lett. 66, 1517–1520 (1991)Spin-orbit scattering for localized electrons: Absence of negative magnetoconductanceReceived 9 July 1990; published in the issue dated 18 March 1991 The distribution of hopping conductances in the strongly localized regime in the presence of both a magnetic field and spin-orbit (SO) scattering is calculated via an analytic independent-directed-path formalism, and a locator expansion which includes all correlations between paths. Both methods lead to a positive magnetoconductance for all strengths of SO scattering, contrary to recent random-matrix theory predictions. Extensive numerical simulations demonstrate that the crossover from negative to positive magnetoconductance occurs as the system size exceeds the localization length. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.66.1517
DOI:
10.1103/PhysRevLett.66.1517
PACS:
72.20.My, 71.55.Jv, 71.70.Ej, 73.50.Jt
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