A New Supersymmetric and Exactly Solvable Model of Correlated Electrons

Details A New Supersymmetric and Exactly Solvable Model of Correlated Electrons A New Supersymmetric and Exactly Solvable Model of Correlated Electrons

1994-10-10

arxiv.org/abs/cond-mat/9410026v5

Phys. Rev. Lett. 74 (1995) 2768

Physics

Condensed Matter

10 pages, LaTex. (final version to appear in Phys.Rev.Lett.)

Scientific paper

10.1103/PhysRevLett.74.2768

A new lattice model is presented for correlated electrons on the unrestricted $4^L$-dimensional electronic Hilbert space $\otimes_{n=1}^L{\bf C}^4$ (where $L$ is the lattice length). It is a supersymmetric generalization of the Hubbard model, but differs from the extended Hubbard model proposed by Essler, Korepin and Schoutens. The supersymmetry algebra of the new model is superalgebra $gl(2|1)$. The model contains one symmetry-preserving free real parameter which is the Hubbard interaction parameter $U$, and has its origin here in the one-parameter family of inequivalent typical 4-dimensional irreps of $gl(2|1)$. On a one-dimensional lattice, the model is exactly solvable by the Bethe ansatz.

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