Quasiparticle spin from adiabatic transport in quantum Hall trial wavefunctions

2008/07/19 by N. Read, Read, N.
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.0807.3107

5 pages

arxiv created 2008/07/19 · openalex publication_date 2008/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Developments in the applications of density functional theory to fractional quantum Hall systems

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