# Two dimensional vortex structures with multi scale interactions in thin film superconductors

## TL;DR

This paper investigates how multiscale interactions influence vortex structures in thin superconducting films, revealing diverse phases and emphasizing the significant impact of long-range forces on the system's phase diagram.

## Contribution

It introduces a multiscale potential model for vortex interactions in thin superconductors and analyzes the resulting complex phase behavior, highlighting the importance of long-range interactions.

## Key findings

- Multiple distinct phases identified in the system.
- Long-range interactions significantly alter the phase diagram.
- Proper inclusion of long-range forces leads to dramatic changes in system behavior.

## Abstract

Interaction of particles of many systems can be effectively approximated by multiscale interaction potentials. Such potentials are widely used for investigation of colloidal systems and colloid-polymer mixtures, complex liquids (for instance, water) and other system. Also, it is of particular interest that effective interaction of vortices in a thin superconducting film can be approximated by a multiscale potential. The subject matter of the present paper is a system like this. Based on a multiscale potential we have shown that this system demonstrated a large number of different phases. It is particularly important that we analyze the influence of a long-range interaction of the system properties and show that properly taking into account long-range forces results in a dramatic change in the system phase diagram.