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Quantum Hall Skyrmions with Higher Topological Charge

D. Lilliehook·K. Lejnell·A. Karlhede·S. L. Sondhi
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Abstract

We have investigated quantum Hall skyrmions at filling factor ν=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 μ_B B/(e^2/ε\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.

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D. Lilliehook, K. Lejnell, A. Karlhede, S. L. Sondhi. 1997-04-14. Quantum Hall Skyrmions with Higher Topological Charge. https://doi.org/10.1103/physrevb.56.6805

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