2004/10/31 by H. Boos, H. E. Boos, Masahiro Shiroishi +2 · 31 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chain (unit) #Ferromagnetism #Ground state #Heisenberg model #Homogeneous #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th #nlin.SI
paper · pdf · doi:10.1016/j.nuclphysb.2005.01.041
published in Nuclear Physics B 712(3), 573-599 (Elsevier BV) · 31 pages
arxiv created 2005/02/18 · openalex publication_date 2005/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show how correlation functions of the spin-1/2 Heisenberg chain without magnetic field in the anti-ferromagnetic ground state can be explicitly calculated using information contained in the quantum Knizhnik-Zamolodchikov equation [qKZ]. We find several fundamental relations which the inhomogeneous correlations should fulfill. On the other hand, it turns out that these relations can fix the form of the correlations uniquely. Actually, applying this idea, we have obtained all the correlation functions on five sites. Particularly by taking the homogeneous limit, we have got the analytic form of the fourth-neighbor pair correlator < Sjz Sj+4z >.