Eur. Phys. J. B 5, 419-422 (1998)
https://doi.org/10.1007/s100510050462

Two-parameter extended Hubbard Hamiltonian with gl (2,1) supersymmetry ^*

Department of Physics, University of Illinois at Urbana-Champaign, 61801, USA and Dipartimento di Fisica and Unitá INFM, Politecnico di Torino, 10129 Torino, Italia

Corresponding author: ^a montorsi@athena.polito.it

Received: 17 February 1998
Revised: 6 March 1998
Accepted: 17 April 1998
Published online: 15 October 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 , 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.