2001/06/08 by Niels R. Walet, Walet, Niels R., Tom Weidig +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Pattern Formation and Solitons (nlin.PS) #cond-mat.mes-hall #hep-th #nlin.PS
paper · pdf · doi:10.48550/arxiv.cond-mat/0106157
4 pages, 6 figures. Needs revtex4
arxiv created 2001/06/11 · arxiv updated 2009/11/30
Spin textures arise in the effective action approach to the quantum Hall effect. Up to now these textures, also called Skyrmions, have been mainly studied using approximations. Studies of its finite density form, the crystal, have been limited to a given symmetry and tend ignore Skyrmion deformation. Using a simulated annealing technique, adapted to problems with a long-range interaction, we are able to present the first full 2D study of quantum Hall Skyrmions and the corresponding crystals. Our results show that only the Skyrmions with topological charge one and two are bound and that the Skyrme crystal is probably a triangular lattice made of charge-two Skyrmions.