Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

U-q[gl(2 vertical bar 1)] and the anisotropic supersymmetric U model

KE Hibberd, M. D. Gould, Links

Published Jan 1, 1998• 0 citations
OpenAlex

Abstract

By considering the one-parameter family of inequivalent typical four-dimensional irreps of U-q[gl(2 1)], we may construct the anisotropic supersymmetric U model. This is a model for correlated electrons acting on the unrestricted 4(L)-dimensional electronic Hilbert space x(n=1)(L)C(4), where L is the lattice length. An important characteristic of the model is that it contains two symmetry-preserving free real parameters. Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.

Related papers

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.

Physical review. B, Condensed matter•Sep 15, 1996•18 citations

Algebraic Bethe ansatz for the anisotropic supersymmetric U model

Katrina Hibberd, M. D. Gould, Jon Links

We present an algebraic Bethe ansatz for the anisotropic supersymmetric U model for correlated electrons on the unrestricted -dimensional electronic Hilbert space (where L is the lattice length). The supersymmetry algebra of the local Hamiltonian is the quantum superalgebra and the model contains two symmetry-preserving free real parameters; the quantization parameter q and the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of . Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.

Journal of Physics A Mathematical and General•Dec 21, 1996•2 citations

An Extended Supersymmetric t-J Model

Yao-Zhong Zhang

A new lattice model is presented for correlated electrons oii the unrestricted 4 L -dimensional electronic Hilbert space ®Ln=1C4 (where L is the lattice length).It is an extension of the supersymmetric t-J model.The new model has gl(2|1) supersymmetry and contains one symmetry-preserving free real parameter α which has its origin in the one-parameter family of inequivalent typical 4-dimensionał irreps of gl(21).When α = 0, the model reduces to the supersymmetric t-J model.

Acta Physica Polonica A•Dec 1, 1995•0 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.

arXiv:cond-mat/9410026•Physical Review Letters•Apr 3, 1995•145 citations

Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric Model Associated with U q (gl(m|n))

Wen‐Li Yang, Yao-Zhong Zhang, Shao-you Zhao A

arXiv:hep-th/0503003•Communications in Mathematical Physics•Jan 30, 2006•20 citations

Interpolation between Hubbard and supersymmetrict-Jmodels: two-parameter integrable models of correlated electrons

Francisco Castilho Alcaraz, R Z Bariev

Two new one-dimensional fermionic models depending on two independent parameters are formulated and solved exactly by the Bethe ansatz method. These models connect continuously the integrable Hubbard and supersymmetric t - J models.

arXiv:cond-mat/9908265•Journal of Physics A Mathematical and General•Nov 4, 1999•30 citations
By considering the one-parameter family of inequivalent typical four-dimensional irreps of U-q[gl(2 1)], we may construct the anisotropic supersymmetric U model. This is a model for correlated electrons acting on the unrestricted 4(L)-dimensional electronic Hilbert space x(n=1)(L)C(4), where L is the lattice length. An important characteristic of the model is that it contains two symmetry-preserving free real parameters. Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.
We present an algebraic Bethe ansatz for the supersymmetric U model for correlated electrons on the unrestricted 4L{4}^{\mathit{L}}4L-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{\mathit{L}}^{\mathit{n}=1}$C4{\mathit{C}}^{4}C4 (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 anisotropic supersymmetric U model for correlated electrons on the unrestricted -dimensional electronic Hilbert space (where L is the lattice length). The supersymmetry algebra of the local Hamiltonian is the quantum superalgebra and the model contains two symmetry-preserving free real parameters; the quantization parameter q and the Hubbard interaction parameter U. The parameter U arises from the one-parameter family of inequivalent typical four-dimensional irreps of . Eigenstates of the model are determined by the algebraic Bethe ansatz on a one-dimensional periodic lattice.
A new lattice model is presented for correlated electrons on the unrestricted 4L{4}^{L}4L-dimensional electronic Hilbert space ${\ensuremath{\bigotimes}}_{n\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1}^{L}{\mathbf{C}}^{4}$ (where LLL 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 UUU, 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.