# Electron spin resonance study of spin relaxation in the strong-leg spin ladder with nonmagnetic dilution

## TL;DR

This study investigates how nonmagnetic dilution affects spin relaxation in a strong-leg spin ladder using ESR, revealing cluster formation, changes in relaxation times, and the persistence of DM interactions.

## Contribution

It provides new insights into the impact of nonmagnetic impurities on spin dynamics and the behavior of DM interactions in a strong-leg spin ladder system.

## Key findings

- Cluster formation with non-zero net magnetization confirmed
- High-temperature spin-relaxation time increases with dilution
- DM interaction remains dominant but is weakened near impurities

## Abstract

We have studied electron spin resonance (ESR) absorption spectra for the nonmagnetically diluted strong-leg spin ladder magnet ({C}$_{7}$H$_{10}$N)$_{2}$Cu$_{(1-x)}$Zn$_{x}$Br$_{4}$ (abbreviated as DIMPY) down to 450 mK. Formation of the clusters with non-zero net magnetization is confirmed; the cluster-cluster interaction is evidenced by the concentration dependence of ESR absorption. High-temperature spin-relaxation time was found to increase with non-magnetic dilution. The ESR linewidth analysis proves that the Dzyaloshinskii-Moriya (DM) interaction remains the dominant spin-relaxation channel in diluted DIMPY. Experimental data indicate that the dilution results in the weakening of the effective DM interaction, which can be interpreted as total suppression of DM interaction in the close vicinity of impurity atom.