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

2002/06/11 by Sergei Lukyanov, Sergei L. Lukyanov, V. Terras +1 · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el #hep-th #nlin.SI

paper · pdf · doi:10.1016/s0550-3213(02)01141-0

published as Nucl.Phys. B654 (2003) 323-356 · 32 pages, 2 figures

arxiv created 2002/06/11 · openalex publication_date 2003/03/01 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region
• Infinite conformal symmetry in two-dimensional quantum field theory
• Form factors of soliton-creating operators in the sine-Gordon model
• Density-matrix algorithms for quantum renormalization groups
• Two soluble models of an antiferromagnetic chain

Cited by

• Magnetic ordering of weakly coupled frustrated quantum spin chains
• The thermodynamic limit of particle–hole form factors in the masslessXXZHeisenberg chain
• THE LUTTINGER LIQUID AND INTEGRABLE MODELS
• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Breathers and Raman scattering in a two-leg ladder with staggered Dzyaloshinskii-Moriya interaction
• Boundary susceptibility in the openXXZ-chain
• Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime
• On loop corrections to integrable 2D sigma model backgrounds
• Crossover of correlation functions near a quantum impurity in a Tomonaga-Luttinger liquid