Many skyrmion wave functions and skyrmion statistics in quantum Hall ferromagnets

Abstract

We determine the charge and statistical angle of skyrmions in quantum Hall ferromagnets by performing Berry phase calculations based on the microscopic variational wave functions for many-skyrmion states. We find, in contradiction to a recent claim by Dziarmaga, that both the charge and the statistical angle of a skyrmion are independent of its spin (size), and are identical to those of Laughlin quasiparticles at the same filling factor. We discuss some subtleties in the use of these variational wave functions.

11 pages, RevTex, no figure. Accepted in Phys. Rev. B, Rapid Communications

References in corpus (5)

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• Evidence of Skyrmion excitations about $\nu =1$ in n-Modulation Doped Single Quantum Wells by Inter-band Optical Transmission
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• Hopf invariant for long-wavelength skyrmions in quantum Hall systems for integer and fractional fillings
• Skyrmions in arbitrarily polarized quantum Hall states
• An accurate effective action for `baby' to `adult' skyrmions
• Coulomb and Hard Core Skyrmion Tails
• Electronic correlation in the quantum Hall regime
• Statistics of skyrmions and the 5/2 puzzle