Vortex States in Archimedean Tiling Pinning Arrays

TL;DR

This paper investigates vortex arrangements and pinning behaviors in Archimedean tiling substrates, revealing complex ordering phenomena and non-trivial occupancy patterns at various magnetic fields.

Contribution

It introduces a numerical study of vortex pinning in mixed plaquette tiling substrates, highlighting unique ordering and occupancy behaviors not previously characterized.

Findings

Distinct vortex ordering patterns at different fields

Non-integer matching field peaks in magnetization

Occupancy competition between different plaquette types

Abstract

We numerically study vortex ordering and pinning in Archimedean tiling substrates composed of square and triangular plaquettes. The two different plaquettes become occupied at different vortex densities, producing commensurate peaks in the magnetization at non-integer matching fields. We find that as the field increases, in some cases the fraction of occupied pins can decrease due to the competition between fillings of the different plaquette types. We also identify a number of different types of vortex orderings as function of field at integer and non-integer commensurate fillings.