2004/10/05 by Jun Sato, Masahiro Shiroishi, Minoru Takahashi · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.stat-mech
paper · pdf · doi:10.1143/jpsj.73.3008
published as J.Phys. Soc. Jpn. 73 (2004) 3008. · 11 pages, 3 figures, 3 authors
arxiv created 2004/10/05 · openalex publication_date 2004/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and norms of the Bethe eigenstates. We have seen that the transition rates converges toward the constant function with the value 1 in the limit ∆ → 0. The observed critical exponent of the singularity at the lower boundary is compared with the one predicted from the comformal field theory. We confirm that they are in good agreement. Further we have discovered that a small peak emerges near the upper boundary in the line shape of S(q, ω) for 0 < ∆ < 1.