Unpaired composite fermion, topological exciton, and zero mode.
The paired state of composite fermions is expected to support two kinds of excitations: vortices and unpaired composite fermions. We construct an explicit microscopic description of the unpaired composite fermions, which we demonstrate to be accurate for a 3-body model interaction and, possibly, adiabatically connected to the Coulomb solution. This understanding reveals that an unpaired composite fermion carries with it a charge-neutral "topological" exciton, which, in turn, helps provide microscopic insight into the origin of zero modes, fusion rules, and energetics.
Department of Physics, Davey Lab, Pennsylvania State University, University Park, 16802, USA.
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Sreejith
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Wójs
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Jain