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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 419-422
Two-parameter extended Hubbard Hamiltonian with $\mathsf{gl (2,1)}$ supersymmetry
A. Montorsi (a)
Department of Physics, University of Illinois at Urbana-Champaign, 61801, USA and Dipartimento di Fisica and Unitá INFM, Politecnico di Torino, 10129 Torino, Italia
Received: 17 February 1998 / Received in final form: 6 March 1998 / Accepted: 17 April 1998
Abstract: We investigate under which circumstances extended Hubbard models, including bond-charge, exchange, and pair-hopping terms, are invariant under gl (2,1) superalgebra. This happens for a two-parameter Hamiltonian which includes as particular cases the t-J, the EKS and the one-parameter BGLZ Hamiltonians, all integrable in one dimension. We show that the two parameter Hamiltonian can be recasted as the sum of the BGLZ Hamiltonian plus the graded permutation operator of electronic states on neighbouring sites. The integrability of the corresponding one-dimensional model is discussed.
PACS. 71.27.+a Strongly correlated electron systems; heavy fermions - 75.10.Lp Band and itinerant models
(a) email: montorsi@athena.polito.it
Article in PDF format (278 KB)
Online publication: October 26, 1998
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