Form factors of integrable Heisenberg (higher) spin chains

Abstract

We present determinant formulae for the form factors of spin operators of general integrable XXX Heisenberg spin chains for arbitrary (finite dimensional) spin representations. The results apply to any "mixed" spin chains, such as alternating spin chains, or to spin chains with magnetic impurities.

arXiv comment24 pages

References in corpus (30)

• How Algebraic Bethe Ansatz works for integrable model
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Correlation Functions of the XXZ model for $\Delta <-1$
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• Computation of dynamical correlation functions of Heisenberg chains in a field
• On the quantum inverse scattering problem
• Low-Lying Excited States and Low-Temperature Properties of an Alternating Spin-1 / Spin-1/2 Chain : A DMRG study
• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
• Dynamical correlation functions of the XXZ spin-1/2 chain
• Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
• Thermodynamics of Integrable Chains with Alternating Spins
• Algebraic representation of correlation functions in integrable spin chains
• Correlation functions of the XXZ spin-1/2 Heisenberg chain at the free fermion point from their multiple integral representations
• Impurities in $s=1$ Heisenberg Antiferromagnets
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Reduced qKZ equation and correlation functions of the XXZ model
• Critical Behaviour of integrable mixed spins chains
• Quasiparticles governing the zero-temperature dynamics of the 1D spin-1/2 Heisenberg antiferromagnet in a magnetic field
• Level two irreducible representations of $U_q({\widehat{sl}}_2)$, vertex operators, and their correlations
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
• The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
• N-point Correlation Functions of the Spin-1 XXZ Model
• On the algebraic Bethe Ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain
• Free Field Representation of Quantum Affine Algebra $U_q\widehat{s{l}_2}$ and Form Factors in Higher Spin XXZ Model
• Thermodynamics and conformal properties of XXZ chains with alternating spins
• Correlation functions of the spin-1 analog of the XXZ model

Cited by in corpus (26)

• The Quench Action
• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
• Nested Bethe ansatz for "all" closed spin chains
• Mean values of local operators in highly excited Bethe states
• Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Particle-hole pairs and density-density correlations in the Lieb-Liniger model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• Generalized coordinate Bethe ansatz for non diagonal boundaries
• SOV approach for integrable quantum models associated to general representations on spin-1/2 chains of the 8-vertex reflection algebra
• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry
• Chiral SU(2)_k currents as local operators in vertex models and spin chains
• Hexagonalization of Fishnet integrals I: mirror excitations
• Computation of dynamical correlation functions of the spin-1 Babujan-Takhtajan chain
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Coordinate Bethe Ansatz for Spin s XXX Model
• Spinon dynamics in quantum integrable antiferromagnets
• Antiperiodic XXZ chains with arbitrary spins: Complete eigenstate construction by functional equations in separation of variables
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions
• Scattering matrix for a general gl(2) spin chain
• Asymptotic analysis of the form-factors of quantum spin chains
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain