Extended Hubbard Model in the Dimer Representation. II. Lattice Hamiltonian in the Large U Limit

• Authors: B. Grabiec , M. Matlak
• Languages of publication: EN

Abstracts

EN

Using the exact decomposition of the sc lattice into a set of interacting dimers (each dimer is described by the extended Hubbard Hamiltonian) and exact solution of the dimer problem (preceding paper) we exactly find the form of the extended Hubbard model in the case of a crystal in the large U limit. We apply a new, nonperturbative approach based on the exact projection procedure onto a dimer subspace occupied by electrons in this limit (it is the only assumption). The resulting Hamiltonian is very complicated and contains a variety of multiple magnetic and nonmagnetic interactions deeply hidden in its original form (site representation). We also present a simplified version of the model to better visualize a mixture of different interactions resulting from this approach.

Keywords

EN

71.10.-w; 71.10.Ca; 71.10.Fd

Discipline

• 71.10.-w: Theories and models of many-electron systems
• 71.10.Ca: Electron gas, Fermi gas
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2002
• Volume: 101
• Issue: 4
• Pages: 549-557

Dates

published

2002-04

received

2001-12-14

Contributors

author

B. Grabiec

• Institute of Physics, Silesian University, Uniwersytecka 4, 40-007 Katowice, Poland

author

M. Matlak

• Institute of Physics, Silesian University, Uniwersytecka 4, 40-007 Katowice, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.101.549