Dynamic structure factors of the spin-1/2 XX chain with Dzyaloshinskii-Moriya interaction

TL;DR

This paper investigates how the Dzyaloshinskii-Moriya interaction influences the dynamic structure factors of a spin-1/2 XY chain in a magnetic field, revealing significant effects on certain correlations relevant for ESR experiments.

Contribution

It provides a detailed analysis of the impact of Dzyaloshinskii-Moriya interaction on dynamic structure factors in the XY chain, highlighting which quantities are affected.

Findings

Dzyaloshinskii-Moriya interaction does not affect zz dynamic quantities.

Significant changes are observed in xx, yy, xy, and yx dynamic structure factors due to the interaction.

Results have implications for interpreting electron spin resonance experiments.

Abstract

We consider the spin-1/2 isotropic XY chain in a (z) transverse magnetic field with the Dzyaloshinskii-Moriya interaction directed along the z-axis in spin space and examine the effects of the latter interaction on the zz, xx (yy) and xy (yx) dynamic structure factors. The Dzyaloshinskii-Moriya interaction does not manifest itself in the zz dynamic quantities. In contrast, the xx (yy) and xy (yx) dynamic structure factors show dramatical changes owing to the Dzyaloshinskii-Moriya interaction. Implications of our results for electron spin resonance experiments are briefly discussed.