# Vortex creep at very low temperatures in single crystals of the extreme type-II superconductor Rh$_9$In$_4$S$_4$

## TL;DR

This study visualizes vortex creep at very low temperatures in Rh$_9$In$_4$S$_4$ using STM, revealing thermal fluctuations as the primary cause and showing the vortex lattice remains hexagonal during creep.

## Contribution

First direct imaging of vortex creep at millikelvin temperatures in a superconductor, analyzing thermal and quantum barriers and vortex lattice dynamics.

## Key findings

- Vortex creep occurs at temperatures as low as 150 mK.
- Vortex lattice remains hexagonal during creep.
- Creep velocity depends on local pinning arrangements.

## Abstract

We image vortex creep at very low temperatures using Scanning Tunneling Microscopy (STM) in the superconductor Rh$_9$In$_4$S$_4$ ($T_c$=2.25 K). We measure the superconducting gap of Rh$_9$In$_4$S$_4$, finding $\Delta\approx 0.33$meV and image a hexagonal vortex lattice up to close to H$_{c2}$, observing slow vortex creep at temperatures as low as 150 mK. We estimate thermal and quantum barriers for vortex motion and show that thermal fluctuations likely cause vortex creep, in spite of being at temperatures $T/T_c<0.1$. We study creeping vortex lattices by making images during long times and show that the vortex lattice remains hexagonal during creep with vortices moving along one of the high symmetry axis of the vortex lattice. Furthermore, the creep velocity changes with the scanning window suggesting that creep depends on the local arrangements of pinning centers. Vortices fluctuate on small scale erratic paths, indicating that the vortex lattice makes jumps trying different arrangements during its travel along the main direction for creep. The images provide a visual account of how vortex lattice motion maintains hexagonal order, while showing dynamic properties characteristic of a glass.