arXiv:cond-mat/9709129 · Physical review. B, Condensed matter

Eight-state supersymmetric U model of strongly correlated fermions

M. D. Gould, Yao-Zhong Zhang, Huan-Qiang Zhou

Published Apr 15, 1998• 9 citations

Abstract

An integrable eight-state supersymmetric $U$ model is proposed, which is a fermion model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping. It has a $gl(3|1)$ supersymmetry and contains one symmetry-preserving free parameter. The model is solved and the Bethe ansatz equations are obtained.

DOI: 10.1103/physrevb.57.9498

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arXiv:cond-mat/9709129 · Physical review. B, Condensed matter

Eight-state supersymmetric U model of strongly correlated fermions

M. D. Gould, Yao-Zhong Zhang, Huan-Qiang Zhou

Published Apr 15, 1998• 9 citations

arXiv HTML PDF

Abstract

An integrable eight-state supersymmetric

U

model is proposed, which is a fermion model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping. It has a

gl(3|1)

supersymmetry and contains one symmetry-preserving free parameter. The model is solved and the Bethe ansatz equations are obtained.

DOI: 10.1103/physrevb.57.9498

Related papers

A new two-parameter integrable model of strongly correlated fermions with quantum superalgebra symmetry

Xiangyu Ge, M. D. Gould, Yao-Zhong Zhang +1 more

arXiv:cond-mat/9711305Journal of Physics A Mathematical and GeneralJun 12, 19986 citations

Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

Yao-Zhong Zhang, Huan-Qiang Zhou

arXiv:cond-mat/9801149Journal of Physics A Mathematical and GeneralAug 28, 19981 citation

Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

Anthony J. Bracken, Xiangyu Ge, Yao-Zhong Zhang +1 more

arXiv:cond-mat/9802097Bulletin of the Australian Mathematical SocietyJun 1, 19991 citation

A New Integrable Two-Parameter Model of Strongly Correlated Electrons in One Dimension

R. Z Bariev, A Klümper, J Zittartz

arXiv:cond-mat/9504114Europhysics Letters (EPL)Oct 1, 199571 citations

Algebraic Bethe ansatz for the supersymmetricUmodel

Katrina Hibberd, M. D. Gould, Jon Links

We present an algebraic Bethe ansatz for the supersymmetric U model for correlated electrons on the unrestricted ${4}^{\mathit{L}}$ -dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{\mathit{L}}^{\mathit{n}=1}$ ${\mathit{C}}^{4}$ (where L is the lattice length). The supersymmetry algebra of the model is the Lie superalgebra gl(2|1) and contains one symmetry-preserving free real parameter which is the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of gl(2|1). Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice. \textcopyright{} 1996 The American Physical Society.We present an algebraic Bethe ansatz for the supersymmetric U model for correlated electrons on the unrestricted ${4}^{\mathit{L}}$-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{\mathit{L}}^{\mathit{n}=1}$${\mathit{C}}^{4}$ (where L is the lattice length). The supersymmetry algebra of the model is the Lie superalgebra gl(2|1) and contains one symmetry-preserving free real parameter which is the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of gl(2|1). Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matterSep 15, 199618 citations

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

Anthony J. Bracken, M. D. Gould, Jon Links +1 more

A new lattice model is presented for correlated electrons on the unrestricted ${4}^{L}$ -dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1}^{L}{\mathbf{C}}^{4}$ (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 irreducible representations of gl(2 $|$1). On a one-dimensional lattice, the model is exactly solvable by the Bethe ansatz.A new lattice model is presented for correlated electrons on the unrestricted ${4}^{L}$-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1}^{L}{\mathbf{C}}^{4}$ (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 irreducible representations of gl(2 $|$1). On a one-dimensional lattice, the model is exactly solvable by the Bethe ansatz.

arXiv:cond-mat/9410026Physical Review LettersApr 3, 1995145 citations

An integrable eight-state supersymmetric

U

model is proposed, which is a fermion model with correlated single-particle and pair hoppings as well as uncorrelated triple-particle hopping. It has a

gl(3|1)

supersymmetry and contains one symmetry-preserving free parameter. The model is solved and the Bethe ansatz equations are obtained.

We present an algebraic Bethe ansatz for the supersymmetric U model for correlated electrons on the unrestricted

{4}^{\mathit{L}}

-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{\mathit{L}}^{\mathit{n}=1}$

{\mathit{C}}^{4}

(where L is the lattice length). The supersymmetry algebra of the model is the Lie superalgebra gl(2|1) and contains one symmetry-preserving free real parameter which is the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of gl(2|1). Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice. \textcopyright{} 1996 The American Physical Society.

A new lattice model is presented for correlated electrons on the unrestricted

{4}^{L}

-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1}^{L}{\mathbf{C}}^{4}$ (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 irreducible representations of gl(2 $|$1). On a one-dimensional lattice, the model is exactly solvable by the Bethe ansatz.