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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. [ABSTRACT FROM AUTHOR]

We have designed a multiscale approach for strongly correlated systems by combining the dynamical cluster approximation (DCA) and the recently introduced dual fermion formalism. This approach employs an exact mapping from a real lattice to a DCA cluster of linear size Lc embedded in a dual fermion lattice. Short-length- scale physics is addressed by the DCA cluster calculation, while longer-length-scale physics is addressed diagrammatically using dual fermions. The bare and dressed dual fermionic Green functions scale as O(1/Lc), so perturbation theory on the dual lattice converges very quickly, e.g., the dual Fermion self-energy calculated with simple second-order perturbation theory is of order Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed with third-order and three-body corrections down by an additional factor of O(1/Lc). [ABSTRACT FROM AUTHOR]