Modern Physics Letters B 38, 2450226 (2024)

SCIE

Conductivity in the half-filled disordered Hubbard model: A typical medium dynamical mean-field study

Anh-Tuan Hoang, Thi-Hai-Yen Nguyen, and Duc-Anh Le

The conductivity for half-¯lled disordered Hubbard model in di®erent interaction regimes is studied using a typical medium dynamical mean-¯eld theory. The Kubo formula with the geometrically averaged Green function is used to calculate the optical and dc conductivity of the system. The dependence of the conductivities in the model on the random potential and temperature in the weak and intermediate interaction regimes is investigated numerically. It is shown that in the weak interaction regime at a ¯xed temperature the optical conductivity at low frequencies as well as the dc conductivity get decreased as disorder strength increases. Whereas in the intermediate interaction regime, the results show a reentrant e®ect of the insulating phases. Our dc conductivity of a non-interacting disordered system is consistent with those known in the literature and our other results are in agreement with the phase diagram obtained by using typical medium theory with di®erent impurity solvers.

DOI: 10.1142/S0217984924502269

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