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2002 | 101 | 4 | 537-548
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Extended Hubbard Model in the Dimer Representation. I. Dimer Hamiltonian in the Large U Limit

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Abstracts
EN
We consider the extended Hubbard model for the single cubic lattice and rewrite it in the form of interacting dimers, using the exact solution of the dimer problem. We analytically derive the second quantization form of the dimer Hamiltonian eliminating from the considerations unoccupied dimer energy levels in the large U limit (it is the only assumption). The resulting dimer Hamiltonian written with the use of the Hubbard operators and spin operators contains three terms, visualizing explicitly competing magnetic interactions (ferromagnetic, antiferromagnetic) as a generalization of the t-J model. The presented, nonperturbative method, can in principle be applied to the cluster of any size (e.g. one central atom and z its nearest neighbours). The use of the projection technique can further be applied in the case of a crystal to obtain the second quantization form of the extended Hubbard model for the sc lattice in the large U limit.
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Volume
101
Issue
4
Pages
537-548
Physical description
Dates
published
2002-04
received
2001-12-14
Contributors
author
  • Institute of Physics, Silesian University, Uniwerstytecka 4, 40-007 Katowice, Poland
author
  • Institute of Physics, Silesian University, Uniwerstytecka 4, 40-007 Katowice, Poland
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv101n405kz
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