Determinant Representations of Correlation Functions for the Supersymmetric t-J Model

Abstract

Working in the $F$-basis provided by the factorizing $F$-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.

Latex File, 41 pages, no figure; V2: minor typos corrected, V3: This version will appear in Commun. Math. Phys

References in corpus (8)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Solution of the quantum inverse problem
• Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry
• Resolution of the Nested Hierarchy for Rational sl(n) Models
• Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with $U_q(gl(m|n))$
• Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model
• Drinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models
• Determinant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion Model

Cited by in corpus (16)

• Baxter's Q-operators for supersymmetric spin chains
• Scalar products of Bethe vectors in models with $\mathfrak{gl}(2|1)$ symmetry 2. Determinant representation
• Supersymmetric Vertex Models with Domain Wall Boundary Conditions
• Quantum Inverse Scattering Method with anyonic grading
• Diagonalization of transfer matrix of supersymmetry $u_q(\widehat{sl}(m+1|n+1))$ chain with a boundary
• The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
• Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• A convenient basis for the Izergin-Korepin model
• Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms