Second cluster integral from the spectrum of an infinite XXZ spin chain

Abstract

First and second terms of the low-temperature cluster expansion for the free energy density of a magnetically polarized $XXZ$ spin chain is obtained within the propagator approach suggested by E. W. Montroll and J. C. Ward. All the calculations employ only one- and two-magnon infinite-chain spectrums. In the $XXX$-point the result reproduces the well known S. Katsura's formula obtained 50 years ago by finite-chain calculations.

arXiv comment14 pages

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Cited by in corpus (4)

• Three magnons in an isotropic $S=1$ ferromagnetic chain as an exactly solvable non-integrable system
• Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets
• Low-temperature asymptotic of the transverse dynamical structure factor for a magnetically polarized XX chain
• Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the Quantum Transfer Matrix approach