Magnetic-Field Dependence of Localization in Antidot Lattices
Author(s) -
Seiji Uryu,
Tsuneya Ando
Publication year - 2000
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.138.521
Subject(s) - condensed matter physics , magnetic field , magnetic flux quantum , physics , scaling , inverse , quantum hall effect , quantum , anderson localization , magnetic flux , quantum mechanics , mathematics , geometry
Localization length in antidot lattices in magnetic fields is numerically calculated based on a finite-size scaling method. The inverse localization length has a vanishingly small minimum at a magnetic field. This critical magnetic field corresponds to an insulator-quantum Hall transition. At around the critical field, the inverse localization length oscillates with a period of flux quantum Φ0=ch/e per passing through a unit cell.
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