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Mixed Phase and Bound States in the Phase Diagram of the Extended Hubbard Model

100%

Bąk M.

Acta Physica Polonica A

2004

vol. 106

issue 5

637-646

The paper examines part of the ground state diagram of the extended Hubbard model, with the on-site attraction U<0 and intersite repulsion W>0 in the presence of charge density waves, superconducting andη-superconducting order parameters. We show the possibility of the stabilization of the mixed state, with all three nonzero order parameters, in the model with nearest neighbor interactions. The other result of the paper is application of the exact solution of the Schrödinger equation for the two-electron bound state, as an additional bound for the phase diagram of the model, resulting in the partial suppression of the superconducting state of the s-wave symmetry, in favor of the normal state phase.

Bound States of Fermions on 2d Lattice in a Dilute Limit

63%

Bąk M., Micnas R.

Acta Physica Polonica A

2000

vol. 97

issue 1

209-212

We examine extended bound states in a dilute limit of the extended Hubbard model on the two-dimensional square lattice. By solving exactly the two-body problem we have determined the binding energies, mobilities, and dispersion curves across the Brillouin zone for bound states of various symmetries. It turns out that the d-wave pairing is strongly favored by the nnn hopping and the intersite local pairs can have small effective masses, even in the case of strong binding.We have also found a possibility of extended s-d_{x^{2}-y^{2}} mixing of the bound states.

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2 Acta Physica Polonica A

1 2004

1 2000

2 Bąk M.

1 Micnas R.

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Mixed Phase and Bound States in the Phase Diagram of the Extended Hubbard Model

Bound States of Fermions on 2d Lattice in a Dilute Limit