Off-diagonal disorder in the Anderson model of localization

Details Off-diagonal disorder in the Anderson model of localization Off-diagonal disorder in the Anderson model of localization

2000-01-21

arxiv.org/abs/cond-mat/0001315v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages including 4 EPS figures, accepted for publication in phys. stat. sol. (b)

Scientific paper

We examine the localization properties of the Anderson Hamiltonian with additional off-diagonal disorder using the transfer-matrix method and finite-size scaling. We compute the localization lengths and study the metal-insulator transition (MIT) as a function of diagonal disorder, as well as its energy dependence. Furthermore we investigate the different influence of odd and even system sizes on the localization properties in quasi one-dimensional systems. Applying the finite-size scaling approach in conjunction with a nonlinear fitting procedure yields the critical parameters of the MIT. In three dimensions, we find that the resulting critical exponent of the localization length agrees with the exponent for the Anderson model with pure diagonal disorder.

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