Boson decay and the dynamical structure factor for the XXZ chain at finite magnetic field

2007/05/23 by Jesko Sirker, J. Sirker, Rodrigo G. Pereira +11
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1016/j.physb.2007.10.304

published as Physica B 403, 1520 (2008) · 2 pages, 2 figures, proceedings SCES '07, Houston

arxiv created 2007/05/23 · openalex publication_date 2007/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the longitudinal dynamical structure factor S^zz(q,ω) for the anisotropic spin-1/2 (XXZ) chain at finite magnetic field using bosonization. The leading irrelevant operators in the effective bosonic model stemming from band curvature describe boson decay processes and lead to a high-frequency tail and a finite width γ_q of the on-shell peak for S^zz(q,ω). We use the Bethe ansatz to show that γ_q∼ q² for q≪ 1 and to calculate the amplitudes of the leading irrelevant operators in the effective field theory.

Citations

• Coulomb Drag by Small Momentum Transfer between Quantum Wires
• Dynamical Spin Structure Factor for the Anisotropic Spin-1/2Heisenberg Chain