1998/09/21 by K. Lejnell, A. Karlhede, S. L. Sondhi
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.59.10183
13 pages, 10 figures
arxiv created 1998/09/21 · openalex publication_date 1999/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report on analytic and numerical studies of spin textures in quantum Hall systems using a long wavelength effective action for the magnetic degrees of freedom derived previously. The majority of our results concern Skyrmions or solitons of this action. We have constructed approximate analytic solutions for Skyrmions of arbitrary topological and electric charge and derived expressions for their energies, charge, and spin radii. We describe a combined shooting/relaxational technique for numerical determination of the Skyrmion profiles and present results that compare favorably with the analytic treatment as well as with Hartree-Fock studies of these objects. In addition, we describe a treatment of textures at the edges of quantum Hall systems within this approach and provide details not reported previously.