The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain

2008/06/18 by J. -S. Caux, Jean-Sébastien Caux, J. Mossel +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anisotropy #Antiferromagnetism #Asymmetry #Condensed matter physics #Heisenberg model #Integrable system #Lattice (music) #Magnetic field #Mathematical physics #Nonlinear Waves and Solitons #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Spinon #Transverse field #Transverse plane #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1088/1742-5468/2008/08/p08006

published as J. Stat. Mech. (2008) P08006 · 19 pages, 6 figures

arxiv created 2008/06/18 · openalex publication_date 2008/08/19 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain ( XXZ model) in the gapped antiferromagnetic regime (Δ>1). Specializing to the case of zero field, we use two independent approaches based on integrability (one valid for finite size, the other for the infinite lattice) to obtain the exact two-spinon part of this correlator. We discuss in particular its asymmetry with respect to the π/2-momentum line, its overall anisotropy dependence, and its contribution to sum rules.

Citations

• Evaluation of Dynamic Spin Structure Factor for the Spin-1/2 XXZ Chain in a Magnetic Field
• Quantum criticalities in a two-leg antiferromagneticS=12ladder induced by a staggered magnetic field
• Dynamical structure factor at smallqfor the XXZ spin-1/2 chain
• Computation of dynamical correlation functions of Heisenberg chains: the gaplessanisotropic regime

Cited by

• Adjacent spin operator dynamical structure factor of theS= 1/2 Heisenberg chain
• Real-time scattering of interacting quasiparticles in quantum spin chains