Skyrmions in integral and fractional quantum Hall systems

Abstract

Numerical results are presented for the spin excitations of a two-dimensional electron gas confined to a quantum well of width w. Spin waves and charged skyrmion excitations are studied for filling factors nu=1, 3, and 1/3. Phase diagrams for the occurrence of skyrmions of different size as a function of w and the Zeeman energy are calculated. For nu=3, skyrmions occur only if w is larger than about twice the magnetic length. A general necessary condition on the interaction pseudopotential for the occurrence of stable skyrmion states is proposed.

4 pages, 6 figures, submitted to Solid State Commun

References in corpus (1)

• Energy, interaction, and photoluminescence of spin-reversed quasielectrons in fractional quantum Hall systems

Cited by in corpus (5)

• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Fractional Quantum Hall States of Clustered Composite Fermions
• Spin excitation spectra of integral and fractional quantum Hall systems
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Nuclear spin relaxation in integral and fractional quantum Hall systems