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On the Chemical Potential of the Hubbard Model

J. Monecke

De Gruyter eBooksDec 31, 19740 citations

Grand-canonical partition function of a two-dimensional Hubbard model

Ian M. Barbour, Elyakum G. Klepfish

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.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.

arXiv:hep-lat/9205024Physical review. B, Condensed matterJul 1, 19926 citations

Thermodynamics of the Two-Dimensional Hubbard Model

J. P. F. LeBlanc, Emanuel Gull

Bulletin of the American Physical SocietyMar 19, 20130 citations

Binding of holes in the Hubbard model

Elbio R. Dagotto, Adriana Moreo, Robert L. Sugar +1 more

We present a new numerical method for the study of binding energies of particles in fermionic systems. Working with an imaginary chemical potential we can obtain results in the canonical ensemble by simple modifications of standard numerical techniques. We applied the technique to the two-dimensional Hubbard model observing binding of holes at half-filling on lattices of 4\ifmmode\times\else\texttimes\fi{}4 sites. For U/t=4 we estimate that the binding energy is \ensuremath{\Delta}=-0.10\ifmmode\pm\else\textpm\fi{}0.02.We present a new numerical method for the study of binding energies of particles in fermionic systems. Working with an imaginary chemical potential we can obtain results in the canonical ensemble by simple modifications of standard numerical techniques. We applied the technique to the two-dimensional Hubbard model observing binding of holes at half-filling on lattices of 4\ifmmode\times\else\texttimes\fi{}4 sites. For U/t=4 we estimate that the binding energy is \ensuremath{\Delta}=-0.10\ifmmode\pm\else\textpm\fi{}0.02.

Physical review. B, Condensed matterJan 1, 199074 citations

Energy spectra for the Hubbard andt-Jmodels

Adriana Moreo

Using symmetry considerations and exact diagonalization techniques, we examine the quantum numbers of the states that define the antiferromagnetic and superconducting gaps in the multiple-particle spectrum of the repulsive and attractive two-dimensional Hubbard models. Studying the behavior of the lowest-energy levels as a function of the chemical potential, we analyze all possible dopings in 10- and 16-site clusters for many values of U/t. The possibility of superconductivity in the repulsive Hubbard and in the t-J models is discussed.Using symmetry considerations and exact diagonalization techniques, we examine the quantum numbers of the states that define the antiferromagnetic and superconducting gaps in the multiple-particle spectrum of the repulsive and attractive two-dimensional Hubbard models. Studying the behavior of the lowest-energy levels as a function of the chemical potential, we analyze all possible dopings in 10- and 16-site clusters for many values of U/t. The possibility of superconductivity in the repulsive Hubbard and in the t-J models is discussed.

Physical review. B, Condensed matterMar 1, 199210 citations

Second order self-energy of the two-dimensional Hubbard model

Stéphane Daul, Michael Dzierzawa

Zeitschrift für Physik B Condensed MatterMar 1, 19973 citations

Energy and chemical potential in the two-dimensional Hubbard model

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