# Evidence for spin liquid ground state in SrDy$_2$O$_4$ frustrated magnet probed by muSR

## TL;DR

This study provides evidence that SrDy$_2$O$_4$ exhibits a spin liquid ground state characterized by persistent magnetic fluctuations and short-range correlations down to very low temperatures, as revealed by muSR measurements.

## Contribution

The paper demonstrates the presence of a spin liquid ground state in SrDy$_2$O$_4$ through muSR, highlighting persistent fluctuations and short-range correlations at millikelvin temperatures.

## Key findings

- Persistent magnetic fluctuations from 300 K to 20 mK.
- Presence of short-range magnetic correlations at low temperatures.
- Field-induced slowing down of fluctuations near magnetic ordering.

## Abstract

Muon spin relaxation ($\mu$SR) measurements were carried out on SrDy$_2$O$_4$, a frustrated magnet featuring short range magnetic correlations at low temperatures. Zero-field muon spin depolarization measurements demonstrate that fast magnetic fluctuations are present from $T=300$ K down to 20 mK. The coexistence of short range magnetic correlations and fluctuations at $T=20$ mK indicates that SrDy$_2$O$_4$ features a spin liquid ground state. Large longitudinal fields affect weakly the muon spin depolarization, also suggesting the presence of fast fluctuations. For a longitudinal field of $\mu_0H=2$ T, a non-relaxing asymmetry contribution appears below $T=6$ K, indicating considerable slowing down of the magnetic fluctuations as field-induced magnetically-ordered phases are approached.