To explore correlated electrons in the presence of local and nonlocal disorder, the Blackman-Esterling-Berk method for averaging over off-diagonal disorder is implemented into dynamical mean-field theory using tensor notation. The impurity model combining disorder and correlations is solved using the recently developed fork tensor-product state solver, which allows one to calculate the single particle spectral functions on the real-frequency axis. In the absence of off-diagonal hopping, we establish exact bounds of the spectral function of the noninteracting Bethe lattice with coordination number . In the presence of interaction, the Mott insulating paramagnetic phase of the one-band Hubbard model is computed at zero temperature in alloys with site- and off-diagonal disorder. When the Hubbard parameter is increased, transitions from an alloy band insulator through a correlated metal into a Mott insulating phase are found to take place.
Publication Source (Journal or Book title)
Physical Review B
Weh, A., Zhang, Y., Östlin, A., Terletska, H., Bauernfeind, D., Tam, K., Evertz, H., Byczuk, K., Vollhardt, D., & Chioncel, L. (2021). Dynamical mean-field theory of the Anderson-Hubbard model with local and nonlocal disorder in tensor formulation. Physical Review B, 104 (4) https://doi.org/10.1103/PhysRevB.104.045127