Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain

Abstract

We study asymptotic expansions of spin-spin correlation functions for the XXZ Heisenberg chain in the critical regime. We use the fact that the long-distance effects can be described by the Gaussian conformal field theory. Comparing exact results for form factors in the XYZ and sine-Gordon models, we determine correlation amplitudes for the leading and main sub-leading terms in the asymptotic expansions of spin-spin correlation functions. We also study the isotropic (XXX) limit of these expansions.

32 pages, 2 figures

Cited by in corpus (103)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• One-Dimensional Magnetism
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium
• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
• Correlation functions of one-dimensional anyonic fluids
• Connecting distant ends of one-dimensional critical systems by a sine-square deformation
• New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• 5D partition functions, q-Virasoro systems and integrable spin-chains
• The quantum sine-Gordon model with quantum circuits
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
• Low-temperature asymptotics of integrable systems in an external field
• The Luttinger liquid and integrable models
• Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry
• Full counting statistics in the spin-1/2 Heisenberg XXZ chain
• Emptiness formation probability, Toeplitz determinants, and conformal field theory
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Universal Entanglement Spectra of Gapped One-dimensional Field Theories
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• Mean Field theory of the spin-Peierls transition
• Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• Universal terms in the overlap of the ground state of the spin-1/2 XXZ chain with the Néel state
• Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Luttinger liquid physics from infinite-system DMRG
• Unconventional Neel and dimer orders in a spin-1/2 frustrated ferromagnetic chain with easy-plane anisotropy
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• On form-factor expansions for the XXZ chain in the massive regime
• The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Spin, charge and $\eta$-spin separation in one-dimensional photo-doped Mott insulators
• Low temperature dynamics of nonlinear Luttinger liquids
• Bethe states on a quantum computer: success probability and correlation functions
• Thermal form factor approach to the ground-state correlation functions of the XXZ chain in the antiferromagnetic massive regime
• Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Gapped Heisenberg spin chains in a field
• Magnetic ordering of weakly coupled frustrated quantum spin chains
• Transport and scattering in inhomogeneous quantum wires
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Pseudoparticle approach to 1D integrable quantum models
• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Boundary susceptibility in the open XXZ-chain
• Entanglement asymmetry in the critical XXZ spin chain
• Control of Magnetic and Topological Orders with a DC Electric Field
• A Luttinger Liquid Coupled to a Quantum Spin Bath: Flow Equation Approach to the Kondo Necklace Model
• Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime
• String correlation functions of the spin-1/2 Heisenberg XXZ chain
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Chiral SU(2)_k currents as local operators in vertex models and spin chains
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Breathers and Raman scattering in a two-leg ladder with staggered Dzialoshinskii-Moriya interaction
• Statistical mechanics of integrable quantum spin systems
• Lattice vs. continuum theory of the periodic Heisenberg chain
• The action of the Virasoro algebra in quantum spin chains. I. The non-rational case
• Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
• On loop corrections to integrable $2D$ sigma model backgrounds
• OPE for XXX
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• Dimerization and Néel order in different quantum spin chains through a shared loop representation
• The dynamic structure factor in impurity-doped spin chains
• Spin Hartree-Fock approach to quantum Heisenberg antiferromagnets in low dimensions
• Spinon confinement in the gapped antiferromagnetic XXZ spin-1/2 chain
• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain
• Lattice approach to finite volume form-factors of the Massive Thirring/Sine-Gordon model
• Quantum Electronic Circuits for Multicritical Ising Models
• Quantum Impurity in Luttinger Liquid: Universal Conductance with Entanglement Renormalization
• Finite-size corrections to the energy spectra of gapless one-dimensional systems in the presence of boundaries
• Critical Ising Model with Boundary Magnetic Field: RG Interface and Effective Hamiltonians
• Correlation function for the one-dimensional extended Hubbard model at quarter filling
• Classical fully-packed loop model with attractive interactions on the square lattice
• A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius boundary conditions
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Form factors of twist fields in the lattice Dirac theory
• Scaling in the massive antiferromagnetic XXZ spin-1/2 chain near the isotropic point
• Correlation Functions in Spin Chains and Information Theory
• Confinement of spinons in the XXZ spin-1/2 chain in presence of the transverse magnetic field
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• One dimensional Bose-Hubbard model with long range hopping
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Emergent SU(3) symmetry in a four leg spin tube
• A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application
• Fourth-neighbour two-point functions of the XXZ chain and the Fermionic basis approach