The Three and the Four-Electron Interactions in the Penson-Kolb-Hubbard Model
P. Tarasewicz
Faculty of Pharmacy, Collegium Medicum in Bydgoszcz, Nicolaus Copernicus University in Toruń, Jagiellońska 13, 85-067 Bydgoszcz, Poland
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An extension of the Penson-Kolb-Hubbard model is investigated. This is made in the zero single-electron hopping integral limit. The extension consists in the addition of the three and the four-electron potentials to the Penson-Kolb-Hubbard Hamiltonian. The pair-hopping term as well as the new ones are treated via the mean field approximation. The ground state properties and the critical temperature are investigated for several cases with different values of the couplings in those new terms. It turns out that the three-electron repulsion as well as the four-electron one lead to the superconductor-Mott insulator transition at some concentration of particles.

DOI:10.12693/APhysPolA.135.223
topics: superconductivity, fermion pairs, critical temperature, insulator