Phase diagram of localization in a magnetic field

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, RevTeX, 3 PS-figures (4 extra references are included, minor additions), to appear in Phys. Rev. B as a Brief Report

Scientific paper

10.1103/PhysRevB.57.37

The phase diagram of localization is numerically calculated for a three-dimensional disordered system in the presence of a magnetic field using the Peierls substitution. The mobility edge trajectory shifts in the energy-disorder space when increasing the field. In the band center, localized states near the phase boundary become delocalized. The obtained field dependence of the critical disorder is in agreement with a power law behavior expected from scaling theory. Close to the tail of the band the magnetic field causes localization of extended states.

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