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Journal of Mathematical Sciences

Functional representation of the partition function and phase transitions in the Hubbard model

V. S. Kapitonov

Published Jan 1, 1997• 0 citations
Publisher
DOI
10.1007/bf02398461

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We present a technique for a numerical analysis of the phase structure of the two-dimensional Hubbard model as a function of the hole chemical potential. The grand-canonical partition function for the model is obtained via Monte Carlo simulations. The dependence of the hole occupation number on the chemical potential and the temperature is evaluated. These calculations, together with a study of the Yang-Lee zeros of the grand-canonical partition function, show evidence of a phase transition at zero temperature and particle density below half filling. The binding energy of a pair of holes is calculated in the low-temperature regime and the possibility for pairing is explored.