Quasiparticle spin from adiabatic transport in quantum Hall trial wavefunctions

Details Quasiparticle spin from adiabatic transport in quantum Hall trial wavefunctions Quasiparticle spin from adiabatic transport in quantum Hall trial wavefunctions

2008-07-19

arxiv.org/abs/0807.3107v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

Quasiparticle spin (in the spacetime sense) couples to curvature of space. Here this fact is used to calculate the spin of quasiholes in trial quantum Hall states by adiabatically dragging them around on a sphere, for trial states given by conformal blocks in some conformal field theory. The spin is found to agree with the conformal weight of the corresponding field. The result completes a recent argument that constructions using blocks from non-unitary theories that contain negative quantum dimensions produce contradictions that prevent them from describing topological (gapped) phases of matter.

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