Study of off-diagonal disorder using the typical medium dynamical cluster approximation

We generalize the typical medium dynamical cluster approximation and the local Blackman, Esterling, and Berk method for systems with off-diagonal disorder. Using our extended formalism we perform a systematic study of the effects of nonlocal disorder-induced correlations and 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.