We review the approach of generalised permutaror 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.

Recent results on integrable electronic models / Anfossi, A.; Dolcini, Fabrizio; Montorsi, Arianna. - STAMPA. - 5:(2004), pp. 513-534.

Recent results on integrable electronic models

DOLCINI, FABRIZIO;MONTORSI, Arianna
2004

Abstract

We review the approach of generalised permutaror 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.
81-7895-126-6
Recent Research Developments in Physics
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2373124
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