Quantum Hall Skyrmions with Higher Topological Charge
Abstract
We have investigated quantum Hall skyrmions at filling factor \nu=1 carrying more than one unit of topological, and hence electric, charge. Using a combination of analytic and numerical methods we find the counterintuitive result that when the Zeeman energy is tuned to values much smaller than the interaction energy (g \mu_B B/(e^2/\epsilon\ell) < 9*10^{-5}),the creation energy of a charge two skyrmion becomes less than twice the creation energy of a charge one skyrmion, i.e. skyrmions bind in pairs. The doubly charged skyrmions are stable to further accretion of charge and exhibit a 10% larger spin per unit charge than charge one skyrmions which would, in principle, signal this pairing.
Cite
@article{arxiv.cond-mat/9704121,
title = {Quantum Hall Skyrmions with Higher Topological Charge},
author = {D. Lilliehook and K. Lejnell and A. Karlhede and S. L. Sondhi},
journal= {arXiv preprint arXiv:cond-mat/9704121},
year = {2015}
}
Comments
4 pages, 3 figures. Submitted to Phys. Rev. B, Rapid Communications