# Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

## TL;DR

This study uses diffusion Monte Carlo simulations to analyze vortex core structures and energies in a two-dimensional Fermi gas across the BEC-BCS crossover, revealing different core behaviors on each side.

## Contribution

First detailed Monte Carlo analysis of vortex structures in 2D Fermi gases across the BEC-BCS crossover, including core properties and size effects.

## Key findings

- Density suppression at vortex core on BCS side
- Depleted vortex core on BEC limit
- Size effects influence vortex properties

## Abstract

We report $T=0$ diffusion Monte Carlo results for the ground-state and vortex excitation of unpolarized spin-1/2 fermions in a two-dimensional disk. We investigate how vortex core structure properties behave over the BEC-BCS crossover. We calculate the vortex excitation energy, density profiles, and vortex core properties related to the current. We find a density suppression at the vortex core on the BCS side of the crossover, and a depleted core on the BEC limit. Size-effect dependencies in the disk geometry were carefully studied.