Vortices in fermion droplets with repulsive dipole-dipole interactions

TL;DR

This paper investigates vortex formation in a fermionic system with repulsive dipole-dipole interactions confined in a rotating two-dimensional harmonic trap, highlighting how anisotropic interactions influence the system's symmetry and internal structure.

Contribution

It demonstrates the emergence of vortices in dipolar fermion droplets and explores how anisotropic interactions affect the wavefunction's symmetry and structure.

Findings

Vortices form in fermion droplets with dipole-dipole interactions.

Anisotropy of interactions breaks rotational symmetry.

Internal structure of wavefunctions becomes more apparent.

Abstract

Vortices are found in a fermion system with repulsive dipole-dipole interactions, trapped by a rotating quasi-two-dimensional harmonic oscillator potential. Such systems have much in common with electrons in quantum dots, where rotation is induced via an external magnetic field. In contrast to the Coulomb interactions between electrons, the (externally tunable) anisotropy of the dipole-dipole interaction breaks the rotational symmetry of the Hamiltonian. This may cause the otherwise rotationally symmetric exact wavefunction to reveal its internal structure more directly.