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HL: Halbleiterphysik
HL 16: Transport im hohen Magnetfeld / QHE
HL 16.11: Talk
Tuesday, March 12, 2002, 13:30–13:45, H15
Exponents of the localization lengths in the Anderson model with off-diagonal disorder — •Rudolf A. Römer2, Andrzej Eilmes1, and Michael Schreiber2,3 — 1Department of Computational Methods in Chemistry, Jagiellonian University, Ingardena 3, 30-060 Kraków — 2Institut für Physik, Technische Universität, D-09107 Chemnitz — 3International University Bremen, D-28725 Bremen
We investigate the scaling properties of the Anderson model of localization with purely off-diagonal disorder (random hopping). In particular, we show that for small energies the infinite-size localization lengths as computed from transfer-matrix methods together with finite-size scaling diverge with a power-law behavior. The corresponding exponents are shown to depend on the strength and the type of disorder chosen. We investigate in detail whether recently proposed crossover energies close to the band center are visible in the localization properties.
[1] A. Eilmes, R. A. Römer, M. Schreiber, Physica B 296, 46 (2001).