The lattices with the continious vorticity as a model for FQHE

TL;DR

This paper proposes a model for the fractional quantum Hall effect using vortex lattices with continuous vorticity, incorporating electron spin to create topologically stable, gapped states akin to skyrmion lattices.

Contribution

It introduces a novel vortex lattice model with continuous vorticity and spin, providing a topologically stable, gapped state as a new approach to understanding FQHE.

Findings

Removal of divergencies in vortex cores via electron spin inclusion

Construction of topologically stable skyrmion lattice states

Potential application as a model for FQHE

Abstract

It was shown that the including spin of 2d electrons at high magnetic field is possible to remove the divergencies in the cores of the vortex lattice and construct the topologically stable states. These states can be considered as the lattices of skyrmions where the unit cell is mapped on the whole sphere of spin directions.That gives the gapped ground state for electrons and can be used as a model for FQHE.