High-temperature series expansion of the Helmholtz free energy of the quantum spin-S XYZ chain

Abstract

We consider the $XYZ$ chain model of arbitrary spin $S$ in the high temperature region, with external magnetic field and single-ion anisotropy term. Our high-temperature expansion of the Helmholtz free energy is analytic in the parameters of the model for $S$, which may range from 1/2 to the classical limit of infinite spin ($S\to \infty$). Our expansion is carried out up to order $(J\beta {)}^5$. Our results agree with numerical results of the specific heat per site for $S=1/2$, obtained by the Bethe ansatz, with $h=0$ and D=0. Finally, we show that the magnetic susceptibility and magnetization of the quantum model can be well approximated by their classical analog in this region of temperature.

accepted to publication in PRB

References in corpus (2)

• The anisotropic Heisenberg model in a transverse magnetic field
• High Temperature Expansion for a Chain Model

Cited by in corpus (1)

• The high temperature expansion of the classical $XYZ$ chain