Hierarchical structure formation in layered superconducting systems with multi-scale inter-vortex interactions

TL;DR

This paper explores how layered superconducting systems with multi-scale inter-vortex interactions can form complex hierarchical structures, including clusters, rings, and stripes, through theoretical modeling.

Contribution

It introduces a novel approach to realize hierarchical vortex structures in layered superconductors with varying inter-layer properties.

Findings

Hierarchical vortex structures such as clusters and rings are theoretically demonstrated.

Multi-scale interactions lead to diverse self-organized patterns in vortex matter.

Layered superconductors can be engineered to control vortex configurations.

Abstract

We demonstrate formation of hierarchical structures in two-dimensional systems with multiple length scales in the inter-particle interaction. These include states such as clusters of clusters, concentric rings, clusters inside a ring, and stripes in a cluster. We propose to realize such systems in vortex matter (where a vortex is mapped onto a particle with multi-scale interactions) in layered superconducting systems with varying inter-layer thicknesses and different layer materials.