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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 [gμBB/(e²/εl)<8.4×10^-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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Lilliehöök et al. (1997) studied this question.
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