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Phase diagram of localization in a magnetic field

T. Droese·M. Batsch·I. Kh. Zharekeshev·B. Kramer
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Abstract

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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T. Droese, M. Batsch, I. Kh. Zharekeshev, B. Kramer. 1997-11-03. Phase diagram of localization in a magnetic field. https://doi.org/10.1103/physrevb.57.37

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