Study of off-diagonal disorder using the typical medium dynamical cluster approximation
arXiv:1406.1235 · doi:10.1103/PhysRevB.90.094208
Abstract
We generalize the typical medium dynamical cluster approximation (TMDCA) and the local Blackman, Esterling, and Berk (BEB) method for systems with off-diagonal disorder. Using our extended formalism we perform a systematic study of the effects of non-local disorder-induced correlations and of off-diagonal disorder on the density of states and the mobility edge of the Anderson localized states. We apply our method to the three-dimensional Anderson model with configuration dependent hopping and find fast convergence with modest cluster sizes. Our results are in good agreement with the data obtained using exact diagonalization, and the transfer matrix and kernel polynomial methods.
10 pages, 8 figures
References in corpus (6)
- The Kernel Polynomial Method
- Critical parameters from generalised multifractal analysis at the Anderson transition
- Anderson localization of electron states in graphene in different types of disorder
- Unusual localisation effects in quantum percolation
- Dynamical Aspects of 2D Quantum Percolation
- Characterisation of Anderson localisation using distributions