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  1. 1 Acta Physica Polonica A

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  1. 1 2018

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  1. 1 Lemański R.

  2. 1 Matysiak J.

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

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Matysiak J., Lemański R.
Acta Physica Polonica A
|
2018
|
vol. 133
|
issue 3
405-407
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.
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