Orthofermion statistics and its application to the infinite U Hubbard model

R. Kishore and A.K. Mishra

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 3, 537-542

Abstract: We present an algebra of the creation and annihilation operators for spin 12 fermions which avoid double occupancy of an orbital state. These fermions, called orthofermions, obey the quantum statistics in which the state vector is antisymmetric only for the exchange of the orbital indices. Because of this peculiar property, representation of the number and the spin operators in terms of creation and annihilation operators is much more complex compared to the usual representation of spin 12 fermions. We have found that this representation is very similar to the representation of the number operator in the infinite statistics of Greenberg. As an application of this statistics, we study the thermodynamics of the infinite U Hubbard model and obtain the known exact results in one dimension. Since our approach is valid in any dimension, it can be employed to ascertain the accuracy of the approximate solutions of the Hubbard model.

Keywords: Orthofermions; Strongly correlated electron systems; Hubbard model (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:344:y:2004:i:3:p:537-542

DOI: 10.1016/j.physa.2004.06.026

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