Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets

TL;DR

This paper develops a microscopic theoretical framework for skyrmions in quantum Hall ferromagnets, highlighting the entanglement of density and spin, and compares calculated energies with experimental observations.

Contribution

It introduces a novel microscopic approach using W$_{ abla}$ algebra to construct skyrmion states as rotated electron and hole states, linking spin textures with density modulations.

Findings

Calculated skyrmion excitation energies match experimental data

Demonstrated the intrinsic entanglement of density and spin densities

Showed the energy dependence on the Zeeman gap

Abstract

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W$%_{\infty}$ algebra. The skyrmion and antiskyrmion states are constructed as W$_{\infty }$-rotated states of the hole-excited and electron-excited states, respectively. They are spin textures accompanied with density modulation that decreases the Coulomb energy. We calculate their excitation energy as a function of the Zeeman gap and compared the result with experimental data.