Electron spin resonance in the $S$=1/2 quasi-one-dimensional antiferromagnet with Dzyaloshinskii-Moriya interaction BaCu$\_2$Ge$\_2$O$\_7$

TL;DR

This study investigates electron spin resonance in BaCu2Ge2O7, revealing temperature-dependent linewidth behaviors that support theoretical predictions for a $S$=1/2 Heisenberg chain with Dzyaloshinskii-Moriya interaction.

Contribution

The paper provides experimental ESR data on BaCu2Ge2O7 that confirms the recent OA theory describing ESR in $S$=1/2 chains with Dzyaloshinskii-Moriya interaction.

Findings

ESR linewidth decreases linearly with temperature from 170 K to 50 K.

Below 50 K, linewidth depends strongly on magnetic field orientation.

For H parallel to c, linewidth shows a (h/T)^2 dependence due to an induced staggered field.

Abstract

We have investigated the electron spin resonance (ESR) on single crystals of BaCu$\_2$Ge$\_2$O$\_7$ at temperatures between 300 and 2 K and in a large frequency band, 9.6 -134 GHz, in order to test the predictions of a recent theory, proposed by Oshikawa and Affleck (OA), which describes the ESR in a $S$=1/2 Heisenberg chain with the Dzyaloshinskii-Moriya interaction. We find, in particular, that the ESR linewidth, $\Delta H$, displays a rich temperature behavior. As the temperature decreases from $T\_{max}/2\approx $ 170 K to 50 K, $\Delta H$ shows a rapid and linear decrease, $\Delta H \sim T$. At low temperatures, below 50 K, $\Delta H$ acquires a strong dependence on the magnetic field orientation and for $H \| c$ it shows a $(h/T)^2$ behavior which is due to an induced staggered field $h$, according to OA's prediction.