# Pattern formation in vortex matter with pinning and frustrated inter-vortex interactions

## TL;DR

This paper explores how vortex core deformations lead to complex patterns in vortex matter, influenced by non-monotonic interactions and frustration, with implications for superconductors and Bose-Einstein condensates.

## Contribution

It introduces the role of anisotropic vortex core deformations in creating attractive interactions and frustration, affecting vortex pattern formation in systems with pinning.

## Key findings

- Vortex core deformations induce effective attraction between vortices.
- Frustration from anisotropic interactions influences vortex pattern complexity.
- Pinning strength modulates vortex pattern types and arrangements.

## Abstract

We investigate the effects related to vortex core deformations when vortices approach each other. As a result of these vortex core deformations, the vortex-vortex interaction effectively acquires an attractive component leading to a variety of vortex patterns typical for systems with non-monotonic repulsive-attractive interaction, such as stripes, labyrinths, etc. The core deformations are anisotropic and can induce frustration in the vortex-vortex interaction. In turn, this frustration has an impact on the resulting vortex patterns, which are analyzed in the presence of additional random pinning, as a function of the pinning strength. This analysis can be applicable to vortices in multiband superconductors or to vortices in Bose-Einstein condensates.