Low-temperature asymptotic of the transverse dynamical structure factor for a magnetically polarized XX chain

Abstract

Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida-Tserkovnikov algorithm. Starting from this result a low-temperature integral representation for the corresponding magnon self energy is obtained by the truncated form factor expansion however without any resummations. Within the suggested approach the low-temperature asymptotics of the transverse dynamical structure factor may be readily studied. Some obtained line shapes are presented.

arXiv comment32 pages, 6 figures

References in corpus (8)

• One-Dimensional Magnetism
• Integrability of quantum chains: theory and applications to the spin-1/2 $XXZ$ chain
• Haldane Gapped Spin Chains: Exact Low Temperature Expansions of Correlation Functions
• Finite Temperature Dynamical Structure Factor of Alternating Heisenberg Chains
• Equilibrium dynamics of the XX chain
• Thermodynamical Bethe Ansatz and Condensed Matter
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Second cluster integral from the spectrum of an infinite XXZ spin chain