Temperature- and Size-dependence of Line shape of ESR spectra of XXZ antiferromagnetic chain

TL;DR

This paper investigates how the ESR spectra of finite XXZ antiferromagnetic chains depend on temperature and size, revealing a transition from double-peak to single-peak structures and analyzing the underlying contributions.

Contribution

It introduces a decomposition method for ESR spectra based on magnetization transitions and applies the moment method to analyze size and temperature effects.

Findings

Double-peak structure at high temperatures diminishes with increasing size.

Single peak with finite shift appears at low temperatures.

Size dependence of peak separation vanishes inversely with chain length.

Abstract

The ESR (Electron Spin Resonance) spectrum of the XXZ spin chain with finite length shows a double-peak structure at high temperatures around the EPR (Electron Paramagnetic Resonance) resonance frequency. This fact has been pointed out by direct numerical methods (S. El Shawish, O. Cepas and S. Miyashita; H. Ikeuchi, H. De Raedt, S. Bertaina and S. Miyashita). On the other hand, at low temperatures the spectrum has a single peak with a finite shift from the frequency of EPR as predicted by the analysis of field theoretical works (M. Oshikawa and I. Affleck). We study how the spectrum changes with the temperature, and also we study the size-dependence of the line shape including the even-odd effect. In order to understand those dependences, we introduce a decomposition of the spectrum into contributions from transitions specified by magnetization, and we characterize the structure of the spectrum by individual contributions. Applying the moment method introduced by M. Brockman et al., to each component, we analyze the size-dependence of the structure of the spectrum, which supports the numerical observation that separation of the double-peak structure vanishes inversely with the size.