Recent results on integrable electronic models

Details Recent results on integrable electronic models Recent results on integrable electronic models

2004-12-20

arxiv.org/abs/cond-mat/0412532v2

Physics

Condensed Matter

Strongly Correlated Electrons

Review article; 12 pages, 4 figures. Appeared on Recent Research Developements in Physics 5, 513-534 (Transworld Research Netw

Scientific paper

We review the approach of generalized permutator to produce a class of integrable quantum Hamiltonians, as well as the technique of Sutherland species (SS) to map a subclass of it into solvable spinless fermions models. In particular, we apply the above scheme to construct integrable interacting electron Hamiltonians: first we review the extended Hubbard case, discussing both ground state and thermodynamics; then we pass to constrained fermion models, generating 56 integrable cases, among which both supersymmetric t-J model and infinite U Hubbard model are obtained, as well as other physically interesting cases, such as a particular t-V model. For the latter we describe how the complete spectrum can be gained by means of SS technique. Finally we speculate about possible applications to spin S models.

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