Phase diagram of the three-dimensional Anderson model of localization with random hopping

Details Phase diagram of the three-dimensional Anderson model of localization with random hopping Phase diagram of the three-dimensional Anderson model of localization with random hopping

1999-08-18

arxiv.org/abs/cond-mat/9908255v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 EPS figures, uses annalen.cls style [included]; presented at Localization 1999, to appear in Annalen der Physik [su

Scientific paper

We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling (FSS). The nearest-neighbor hopping elements are chosen randomly according to $t_{ij} \in [c-1/2, c + 1/2]$. We find that the off-diagonal disorder is not strong enough to localize all states in the spectrum in contradistinction to the usual case of diagonal disorder. Thus for any off-diagonal disorder, there exist extended states and, consequently, the TMM converges very slowly. From the TMM results we compute critical exponents of the metal-insulator transitions (MIT), the mobility edge $E_c$, and study the energy-disorder phase diagram.

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