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arXiv · 1106.0865

Unpaired composite fermion, topological exciton, and zero mode

G. J. Sreejith·Arkadiusz Wojs·Jainendra K. Jain
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Abstract

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.

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G. J. Sreejith, Arkadiusz Wojs, Jainendra K. Jain. 2011-06-04. Unpaired composite fermion, topological exciton, and zero mode. https://doi.org/10.1103/physrevlett.107.136802

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