Thermodynamics of infinite U Hubbard model

Details Thermodynamics of infinite U Hubbard model Thermodynamics of infinite U Hubbard model

2003-11-17

arxiv.org/abs/cond-mat/0311388v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, to be published in Physica C

Scientific paper

10.1016/j.physc.2004.03.007

The infinite U Hubbard model, with exclusion of double occupancy of sites, can be considered as a free orthofermion Hamiltonian which is exactly soluble. It is found that the orthofermion distribution function is similar to the mean number of trapped electrons in an impurity in a semiconductor where the double occupancy of the impurity is forbidden and similar to the distribution function of the usual fermions. In one dimension, the thermodynamics of free orthofermions gives the known exact results of the infinite U Hubbard model. Thus it shows that at least in one dimension the fermions with exclusion of double occupancy of sites behave as free orthofermions. Since free orthofermions Hamiltonian is exactly soluble in any dimension, it can be employed to ascertain the accuracy of the approximate solutions of the Hubbard model, frequently used for the strongly correlated electron systems like high temperature superconductors.

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