Two dimensional t-t’ disordered Hubbard model”

This work concerns the interplay of strong correlation and disorder in two dimension at half-filling using 2D t-t’ Hubbard modelwith deterministic disorder. Inclusion of t’ leads to a metallic phase at half-filling below a certain critical value of U. Above this critical value Uc correlation favours Neel ordering while disorder alone leads to double occupancy over the lower energy site. This competition leads to the emergence of a metallic phase, which has been quantified by the calculation of Kubo conductivity, gap at half-filling, density of states, spin order parameter and bandwidth calculation. The deterministic disorder follows a Fibonacci sequence. We have also studied the effect of reducing the dimension of the system. Calculation for both zero and finite temperatures have been done.