Integrable Electron Model with Correlated Hopping and Quantum Supersymmetry

Abstract

We give the quantum analogue of a recently introduced electron model which generalizes the Hubbard model with additional correlated hopping terms and electron pair hopping. The model contains two independent parameters and is invariant with respect to the quantum superalgebra $U_q(gl(2|1))$. It is integrable in one dimension by means of the quantum inverse scattering method.

7 pages, AmsTex file

References in corpus (4)

• A New Supersymmetric and Exactly Solvable Model of Correlated Electrons
• Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive Parameters
• Thermodynamics of an integrable model for electrons with correlated hopping
• On Type-I Quantum Affine Superalgebras

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• R-matrices and Spectrum of Vertex Models based on Superalgebras
• On the solution of a supersymmetric model of correlated electrons
• Twisted Quantum Affine Superalgebra $U_q[sl(2|2{)}^{(2)}]$, $U_q[osp(2|2)]$ Invariant R-matrices and a New Integrable Electronic Model
• Classification of Low Dimensional Lie Super-Bialgebras
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• SO(4) Symmetry of the Transfer Matrix for the One-Dimensional Hubbard Model
• Hubbard-Shastry lattice models
• Eight state supersymmetric $U$ model of strongly correlated fermions
• Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model
• A variational approach for the Quantum Inverse Scattering Method
• New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations
• Exact solutions of graded Temperley-Lieb Hamiltonians
• A new tow-parameter integrable model of strongly correlated electrons with quantum superalgebra symmetry
• New integrable extension of the Hubbard chain with variable range hopping
• Automatic Construction of Explicit R Matrices for the One-Parameter Families of Irreducible Typical Highest Weight (0|α) Representations of U_q[gl(m|n)]
• Algebraic Bethe Ansatz for Integrable Extended Hubbard Models Arising from Supersymmetric Group Solutions
• Quantum Symmetry of Hubbard Model Unraveled
• New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions
• Transfer matrix eigenvalues of the anisotropic multiparametric U model
• Lax Operator for the Quantised Orthosymplectic Superalgebra U_q[osp(2|n)]
• Eigenvalues of Casimir invariants for Uq[osp(m|n)]
• Quantum superalgebras at roots of unity and non-abelian symmetries of integrable models
• Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry
• Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model
• Integrable open supersymmetric U model with boundary impurity
• A construction for R-matrices without difference property in the spectral parameter
• Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization
• Four Easy Pieces - Explicit R Matrices from the (\dot{0}_m|α) Highest Weight Representations of U_q[gl(m|1)]
• Graded q-pseudo-differential Operators and Supersymmetric Algebras
• Irreducible representations of Upq[gl(2/2)]