Low Temperature Physics: 39, 26 (2013); https://doi.org/10.1063/1.4773925 (2 pages)
Физика Низких Температур: Том 39, Выпуск 1 (Январь 2013), c. 37-39    ( к оглавлению , назад )

Levitation of delocalized states at weak magnetic field: critical exponents and phase diagram

V. Kagalovsky

Shamoon College of Engineering, Beer-Sheva 84100, Israel
E-mail: victork@sce.ac.il

Received September 13, 2012


We study numerically the form of the critical line in the disorder–magnetic field phase diagram of the p–q network model, constructed to study the levitation of extended states at weak magnetic fields. We use oneparameter scaling, keeping either q (related to magnetic field) or p (related to energy) constant, to calculate two critical exponents, describing the divergence of the localization length in each case. The ratio of those two exponents defines the form of the critical line close to zero magnetic field.

PACS: 72.15.Rn Localization effects (Anderson or weak localization);
PACS: 73.20.Fz Weak or Anderson localization;
PACS: 73.43.–f Quantum Hall effects.

Key words: magnetic field, phase diagram, delocalized states.