Correlation Functions of the XXZ model for $\Delta <-1$

Abstract

A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine symmetry using vertex operators. With the aid of a boson representation for the latter, an integral formula is found for correlation functions of arbitrary local operators. As a special case it reproduces the spontaneous staggered polarization obtained earlier by Baxter.

10 pages

References in corpus (2)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Corner Transfer Matrices and Quantum Affine Algebras

Cited by in corpus (177)

• Quantum discord and quantum phase transition in spin chains
• 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
• QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
• What is an integrable quench?
• Integral representations for correlation functions of the XXZ chain at finite temperature
• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• Free Field Representation For Massive Integrable Models
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• XXZ chain with a boundary
• Master equation for spin-spin correlation functions of the XXZ chain
• Solution of the quantum inverse problem
• Multi-point Local Height Probabilities in the Integrable RSOS Model
• The half-infinite XXZ chain in Onsager's approach
• Quantum Spin Chains and Riemann Zeta Function with Odd Arguments
• Correlation functions of the open XXZ chain I
• Correlation Function of the Spin-1/2 XXX Antiferromagnet
• The Yangian symmetry of the Hubbard Model
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Dynamical correlation functions of the XXZ spin-1/2 chain
• Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
• Quantum affine symmetry in vertex models
• Vertex operators in solvable lattice models
• Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
• Difference equations for the correlation functions of the eight vertex model
• Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
• Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2
• Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
• Density matrices for finite segments of Heisenberg chains of arbitrary length
• Algebraic representation of correlation functions in integrable spin chains
• Computation of static Heisenberg-chain correlators: Control over length and temperature dependence
• Correlation functions of the XXZ spin-1/2 Heisenberg chain at the free fermion point from their multiple integral representations
• Angular quantization and form-factors in massive integrable models
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Reduced qKZ equation and correlation functions of the XXZ model
• Form factors in quantum integrable models with GL(3)-invariant R-matrix
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• Short-distance thermal correlations in the massive XXZ chain
• Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain
• Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry
• Excited state correlations of the finite Heisenberg chain
• Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
• Free Boson Realization of $U_q(\widehat{s{l}_N})$
• Correlation functions of the higher spin XXX chains
• Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain
• Ground states of the infinite q-deformed Heisenberg ferromagnet
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas
• Free Field Construction for Correlation Functions of the Eight-Vertex Model
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region
• The Yangian Symmetry of the Hubbard Models with Variable Range Hopping
• Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet
• Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function
• Free Boson Representation of $q$-Vertex Operators and their Correlation Functions
• Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures
• Exact real-time longitudinal correlation functions of the massive XXZ chain
• Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra
• Form factors of integrable Heisenberg (higher) spin chains
• Equilibrium dynamics of the XX chain
• On the physical part of the factorized correlation functions of the XXZ chain
• Correlators of the Jost functions in the Sine-Gordon model
• Dynamical correlation functions of the XXZ model at finite temperature
• First principle approach to correlation functions of spin-1/2 Heisenberg chain : fourth-neighbor correlators
• A Q-Operator Identity for the Correlation Functions of the Infinite XXZ Spin-Chain
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Massive Region
• Yangian Symmetry and Quantum Inverse Scattering Method for the One-Dimensional Hubbard Model
• Form Factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration
• Lukyanov's Screening Operators for the Deformed Virasoro Algebra
• Long-time and large-distance asymptotic behavior of the current-current correlators in the non-linear Schrödinger model
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$
• Exact evaluation of density matrix elements for the Heisenberg chain
• N-point Correlation Functions of the Spin-1 XXZ Model
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Algebra of screening operators for the deformed $W_n$ algebra
• On the form factors of local operators in the lattice sine-Gordon model
• Spectrum Generating Affine Lie Algebras in Massive Field Theory
• Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method
• Non-Abelian symmetries of the half-infinite XXZ spin chain
• On the spin-spin correlation functions of the XXZ spin-1/2 infinite chain
• Free Field Representation of Quantum Affine Algebra $U_q\widehat{s{l}_2}$ and Form Factors in Higher Spin XXZ Model
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Heisenberg realization for U_q(sln) on the flag manifold
• Finite temperature correlation functions from discrete functional equations
• The Quantum Spectrum of the Conserved Charges in Affine Toda Theories
• Finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain
• Reflection algebra and functional equations
• Quantum Groups, $q$-Oscillators and Covariant Algebras
• Correlation functions for the Z-invariant Ising model
• Determinant representations for form factors in quantum integrable models with GL(3)-invariant R-matrix
• On the emptiness formation probability of the open XXZ spin-$\tf{1}{2}$ chain
• On the Two-Point Correlation Function for the $U_q[SU(2)]$ Invariant Spin One-Half Heisenberg Chain at Roots of Unity
• Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry
• New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4
• Correlation functions of the integrable $SU(n)$ spin chain
• Quantum-classical crossover in the spin 1/2 XXZ chain
• XX and Ising limits in integral formulae for finite temperature correlation functions of the XXZ chain
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$
• Scalar products of Bethe vectors in the 8-vertex model
• Correlation functions of the integrable isotropic spin-1 chain at finite temperature
• On the calculation of the correlation functions of the ${\mathfrak{sl}}_3$-model by means of the reduced qKZ equation
• An elliptic topological vertex
• Exact results for the sigma^z two-point function of the XXZ chain at Delta=1/2
• Emptiness formation probability at finite temperature for the isotropic Heisenberg chain
• Fifth-neighbor spin-spin correlator for the anti-ferromagnetic Heisenberg chain
• Correlation functions of the integrable isotropic spin-1 chain: algebraic expressions for arbitrary temperature
• Correlation functions of integrable $O(n)$ spin chains
• Correlation functions of the integrable spin-s chain
• Statistical mechanics of integrable quantum spin systems
• Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation
• Form factors of boundary fields for A(2)-affine Toda field theory
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Correlation functions by Separation of Variables: the XXX spin chain
• Form factors of the half-infinite XXZ spin chain with a triangular boundary
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• Vertex Operators and Matrix Elements of $U_q(su(2{)}_k)$ via Bosonization
• Differential equation for a correlation function of the spin-$\frac{1}{2}$ Heisenberg chain
• Accurate localization of Kosterlitz-Thouless-type quantum phase transitions for one-dimensional spinless fermions
• Diagrammatics for SU(2) invariant matrix product states
• Reduced qKZ equation: general case
• Traces of Intertwining Operators for the Yangian Double
• Type II vertex operators for the $A_{n-1}^{(1)}$ face model
• Four State Models and Clifford Algebras
• Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models
• Nearest neighbor two-point correlation function of the $Z$-invariant eight-vertex model
• Form factors and correlation functions of an interacting spinless fermion model
• All correlation functions of the open XXX spin 1/2 quantum chains for unparallel boundary magnetic fields with one constraint
• Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
• Elliptic Deformed Superalgebra $u_{q,p}(\widehat{sl}(M|N))$
• Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields
• Central extension of the reflection equations and an analog of Miki's formula
• Factorization of density matrices in the critical RSOS models
• Density matrices in integrable face models
• Bosonization of vertex operators for Zn symmetric Belavin model and its correlation functions
• A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain
• Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet
• Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
• On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{s{l}_2}{)}_k$}
• The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit
• Quantum Knizhnik--Zamolodchikov equation for $U_q(\widehat{s{l}_n})$ and integral formula
• Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation
• Thermodynamic limit of the two-spinon form factors for the zero field XXX chain
• Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions
• Infinite dimensional symmetry of corner transfer matrices
• Free Boson Representation of $U_q({\widehat{sl}}_3)$
• Matrix product states for $su(2)$ invariant quantum spin chains
• On the Bosonization of $L$-Operators for Quantum Affine Algebra $U_q(s{l}_2)$
• On spectral theory of quantum vertex operators
• Free Field Realization of Vertex Operators for Level Two Modules of $U_q(\widehat{sl(2)})$
• NUMERICAL INVESTIGATION OF CORRELATION FUNCTIONS FOR THE U_qSU(2) INVARIANT SPIN-1/2 HEISENBERG CHAIN
• The Dynamical Correlation Function of the XXZ Model
• Asymptotic analysis of the form-factors of quantum spin chains
• A Free Field Representation of the Screening Currents of $U_q(\widehat{sl(3)})
• Form factors of the SU(2) invariant massive Thirring model with boundary reflection
• Non-Equilibrium Steady State of the Lieb-Liniger model: multiple-integral representation of the time evolved many-body wave-function
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint
• Correlation Function and Simplified TBA Equations for XXZ Chain
• On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model
• Spin fractionalization and zero modes in the spin-$\frac{1}{2}$ XXZ chain with boundary fields
• Smirnov-type integral formulae for correlation functions of the bulk/boundary XXZ model in the anti-ferromagnetic regime
• Factorization of the Ising model form factors
• Form Factors of the Heisenberg Spin Chain in the Thermodynamic Limit: Dealing with Complex Bethe Roots
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach
• Heisenberg-Type Families in $U_q(\widehat{s{l}_2})$
• Correlation functions of an interacting spinless fermion model at finite temperature
• Geometric phase and topological phase diagram of the one-dimensional $XXZ$ Heisenberg spin chain in a longitudinal field
• On the density matrix for the kink ground state of higher spin XXZ chain
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
• Master equation for correlation functions in algebra symmetry $\mathfrak{gl}(2|1)$ related models
• Three-Dimensional Vertex Model in Statistical Mechanics, from Baxter-Bazhanov Model
• The elliptic quantum algebra $U_{q,p}(\widehat{s{l}_N})$ and its vertex operators