Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg $S=1/2$ chain

TL;DR

This study uses inelastic neutron scattering to examine how spin correlations in a Heisenberg S=1/2 chain behave at finite temperatures under a magnetic field, testing theoretical scaling relations against experimental data.

Contribution

It provides experimental validation and discussion of the finite-temperature scaling of spin correlations in a Heisenberg chain, comparing results with theoretical models.

Findings

Scaling relation validity tested against experimental data

Comparison with Tomonaga-Luttinger and Bethe-ansatz theories

Insights into limitations of current theoretical models

Abstract

Inelastic neutron scattering is employed to study transverse spin correlations of a Heisenberg $S=1/2$ chain compound in a magnetic field of 7.5 T. The target compound is the antiferromagnetic Heisenberg $S=1/2$ chain material 2(1,4-Dioxane)$\cdot$2(H$_2$O)$\cdot$CuCl$_2$, or CuDCl for short. The validity and the limitations of the scaling relation for the transverse dynamic structure factor are tested, discussed and compared to the Tomonaga-Luttinger spin liquid theory and to Bethe-ansatz results for the Heisenberg model.