Vortex Dynamics, Pinning, and Magic Angles on Moir\'e Patterns

TL;DR

This study investigates how Abrikosov vortices interact with moiré pattern pinning centers, revealing specific angles where vortex flow is channeled and Hall angles emerge, with implications for particle assemblies on moiré patterns.

Contribution

It identifies 'magic angles' affecting vortex pinning and dynamics on moiré patterns, highlighting novel vortex behaviors at these specific lattice orientations.

Findings

Critical current dips at magic angles indicating channeling.

Vortices exhibit finite Hall angles at certain angles.

Peaks in critical current occur with quasiperiodic substrates.

Abstract

We examine pinning and dynamics of Abrikosov vortices interacting with pinning centers placed in a moir\'e pattern for varied moir\'e lattice angles. We find a series of magic angles at which the critical current shows a pronounced dip corresponding to lattices in which the vortices can flow along quasi-one-dimensional channels. At these magic angles, the vortices move with a finite Hall angle. Additionally, for some lattice angles there are peaks in the critical current produced when the substrate has a quasiperiodic character that strongly reduces the vortex channeling. Our results should be general to a broad class of particle-like assemblies moving on moir\'e patterns.