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De Gruyter eBooks

On the Chemical Potential of the Hubbard Model

J. Monecke

Published Dec 31, 1974• 0 citations
Publisher
DOI
10.1515/9783112501924-020

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In the present paper we study chemical potential of a generalized Hubbard model with correlated hopping at half-filling using a generalized mean-field approximation. For the special case of the model the approach reproduces the exact results: metal-insulator transition, ground state energy. Chemical potential of generelized Hubbard model with correlated hoppig as function of hopping integrals at zero temperature is found. It is shown that chemical potential of the model is temperature-dependent. The dependences of chemical potential of a generalized Hubbard model with correlated hopping on the model parameters are different in metallic and insulating phases leading to a kink at the point of metal-insulator transition in the ground state. With the increase of temperature the kink in the chemical potential curve disappears. The obtained results differ from those of the Hubbard model indicating the important role of correlated hopping.
In the present paper we study chemical potential of the generalized Hubbard model with correlated hopping. The peculiarity of the model in comparison with similar generalized Hubbard models is the concentration dependence of hopping integrals. Chemical potential as a function of the model energy parameters, electron concentration and temperature is found. It is shown that correlated hopping and temperature changes essentially the chemical potential location; these dependencies differ strongly at different values of the electron concenntration.
Numerical results for the density of states to remove or add electrons to a finite Hubbard cluster are presented for both positive and negative on-site interactions. The behavior of the filling versus the chemical potential is discussed. At half filling there is a gap in the density of states. When the repulsive-U Hubbard model is doped spectral weight is transferred into the gap, and the chemical potential is found to move across the gap as one goes from electron to hole doping. We discuss the relationship of these results to experiment. For the negative-U Hubbard model, the chemical potential shifts continuously and lies in the middle of the superconducting gap.