Comparison of the Multi-Band Hubbard and Heisenberg Models on Small Finite Clusters

• Authors: J. Matysiak , R. Lemański
• Languages of publication: EN

Abstracts

EN

We perform exact numeric calculations for a few versions of the two-orbital Hubbard model on the four site cluster. We show that the conventional spin 1 Heisenberg Hamiltonian can be obtained in the strong coupling limit, but only for some versions of the two-orbital Hubbard model. Then we propose a modified version of the Heisenberg Hamiltonian, that we call the two-orbital Heisenberg model, which is relevant in those cases, where the conventional spin 1 Heisenberg model fails.

Keywords

EN

31.15.vq; 75.10.Jm; 75.10.Pq

Discipline

• 31.15.vq: Electron correlation calculations for polyatomic molecules
• 75.10.Pq: Spin chain models
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 3
• Pages: 405-407

Dates

published

2018-03

Contributors

author

J. Matysiak

• Institute of Low Temperature and Structure Research, Polish Academy of Science, Okólna 2, 50-422 Wrocław, Poland

author

R. Lemański

• Institute of Low Temperature and Structure Research, Polish Academy of Science, Okólna 2, 50-422 Wrocław, Poland

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Identifiers

DOI

10.12693/APhysPolA.133.405