Abstract

The physical properties of strongly correlated fermionic systems, described by the Hubbard model, have been studied using the path integral formulation. In this study, we have used the quantum Monte Carlo simulation technique. The partition function of the fermionic system is evaluated within the usual path integral formulation, treating β, the inverse temperature, as imaginary time and dividing it into small discrete intervals. The single and triplet pairing correlation functions, nearest-neighbour charge density correlations, local squared magnetic moment, energy and the probability of double occupancy are studied as a function of interaction strength U for different band fillings and different temperatures.

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