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

Abstract

We study the longitudinal dynamical structure factor $S^{zz}(q,\omega )$ 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 ${\gamma }_q$ of the on-shell peak for $S^{zz}(q,\omega )$. We use the Bethe ansatz to show that ${\gamma }_q\sim q^2$ for $q\ll 1$ and to calculate the amplitudes of the leading irrelevant operators in the effective field theory.

2 pages, 2 figures, proceedings SCES '07, Houston

References in corpus (4)

• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Coulomb drag by small momentum transfer between quantum wires

Cited by in corpus (5)

• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime