Pairing phase diagram of three holes in the generalized Hubbard model
Investigations of high-{Tc} superconductors suggest that the electronic correlation may play a significant role in the formation of pairs. Although the main interest is on the physic of two-dimensional highly correlated electron systems, the one-dimensional models related to high temperature superconductivity are very popular due to the conjecture that properties of the 1D and 2D variants of certain models have common aspects. Within the models for correlated electron systems, that attempt to capture the essential physics of high-temperature superconductors and parent compounds, the Hubbard model is one of the simplest. Here, the pairing problem of a three electrons system has been studied by using a real-space method and the generalized Hubbard Hamiltonian. This method includes the correlated hopping interactions as an extension of the previously proposed mapping method, and is based on mapping the correlated many body problem onto an equivalent site- and bond-impurity tight-binding one in a higher dimensional space, where the problem was solved in a non-perturbative way. In a linear chain, the authors analyzed the pairing phase diagram of three correlated holes for different values of the Hamiltonian parameters. For some value of the hopping parameters they obtain an analytical solution for all kind of interactions.
- Research Organization:
- Inst. de Investigaciones en Materiales (MX)
- OSTI ID:
- 20012810
- Journal Information:
- Journal of Low Temperature Physics, Vol. 117, Issue 3-4; Conference: International Conference on Physics and Chemistry of Molecular and Oxide Superconductors, MOS'99, Stockholm (SE), 07/28/1999--08/02/1999; Other Information: PBD: Nov 1999; ISSN 0022-2291
- Country of Publication:
- United States
- Language:
- English
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