Grand Canonical Partition Function of a 2-dimensional Hubbard Model

Details Grand Canonical Partition Function of a 2-dimensional Hubbard Model Grand Canonical Partition Function of a 2-dimensional Hubbard Model

1992-05-26

arxiv.org/abs/hep-lat/9205024v1

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages, GUTPA/91/11-1:

Scientific paper

10.1103/PhysRevB.46.469

We present a new technique for a numerical analysis of the phase structure of the 2D 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.

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