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Adjacent spin operator dynamical structure factor of theS= 1/2 Heisenberg chain

2012/01/04 by Antoine Klauser, Jorn Mossel, Jean-Sébastien Caux
Physics and Astronomy · #Brillouin zone #Chain (unit) #Excitation #Heisenberg model #Nonlinear Photonic Systems #Operator (biology) #Quantum many-body systems #Representation (politics) #Spin (aerodynamics) #Structure factor #Topological Materials and Phenomena #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1088/1742-5468/2012/03/p03012

published as J. Stat. Mech. (2012) P03012 · 16 pages

arxiv created 2012/01/04 · openalex publication_date 2012/03/22 · arxiv updated 2012/03/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Considering the adjacent spin operators SjzSj + 1z and Sj − Sj + 1 − in the S = 1/2 Heisenberg chain, we give a determinant representation of their form factors. The dynamical structure factors of the respective operators are computed over the whole Brillouin zone in several magnetic fields and the resulting signal is analyzed in terms of excitation types. Among other results, we find that the SjzSj + 1z dynamical structure factor carries a large weight of the four-spinon excitations which are distinguishable from the two-spinon signal because they are located outside the two-spinon spectrum.

Citations