Analytical and numerical study of the Dirac equation in an interpolating Skyrme background determines that bound fermion states exist solely for electrically charged fermions with positive charge and negative angular momentum.
Fractionally charged skyrmions in fractional quantum Hall effect
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abstract
The fractional quantum Hall effect has inspired searches for exotic emergent topological particles, such as fractionally charged excitations, composite fermions, abelian and nonabelian anyons and Majorana fermions. Fractionally charged skyrmions, which support both topological charge and topological vortex-like spin structure, have also been predicted to occur in the vicinity of 1/3 filling of the lowest Landau level. The fractional skyrmions, however, are anticipated to be exceedingly fragile, suppressed by very small Zeeman energies. Here we show that, slightly away from 1/3 filling, the smallest manifestations of the fractional skyrmion exist in the excitation spectrum for a broad range of Zeeman energies, and appear in resonant inelastic light scattering experiments as well-defined resonances slightly below the long wavelength spin wave mode. The spectroscopy of these exotic bound states serves as a sensitive tool for investigating the residual interaction between composite fermions, responsible for delicate new fractional quantum Hall states in this filling factor region.
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hep-th 1years
2026 1verdicts
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Revisiting fermion bound states in baby Skyrme background with Dzyaloshinskii Moriya interaction
Analytical and numerical study of the Dirac equation in an interpolating Skyrme background determines that bound fermion states exist solely for electrically charged fermions with positive charge and negative angular momentum.