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To explore correlated electrons in the presence of local and non-localdisorder, the Blackman-Esterling-Berk method for averaging over off-diagonaldisorder is implemented into dynamical mean-field theory using tensor notation.The impurity model combining disorder and correlations is solved using therecently developed fork tensor-product state solver, which allows one tocalculate the single particle spectral functions on the real-frequency axis. Inthe absence of off-diagonal hopping, we establish exact bounds of the spectralfunction of the non-interacting Bethe lattice with coordination number $Z$. Inthe presence of interaction, the Mott insulating paramagnetic phase of theone-band Hubbard model is computed at zero temperature in alloys with site- andoff-diagonal disorder. When the Hubbard $U$ parameter is increased, transitionsfrom an alloy band-insulator through a correlated metal into a Mott insulatingphase are found to take place.

Dynamical mean-field theory of the Anderson-Hubbard model with local and non-local disorder in tensor formulation