Explicit monodromy of Moore-Read wavefunctions on a torus

Suk Bum Chung, Michael Stone

Research output: Contribution to journalArticle

Abstract

We construct the wavefunctions for the Moore-Read v = 5/2 quantum Hall state on a torus in the presence of two quasiholes. These explicit wavefunctions allowus to compute the monodromymatrix that describes the effect of quasihole motion on the space of degenerate ground states. The result agrees with the recent discussion by Oshikawa et al (Ann. Phys. at press). Our calculation provides a conformal field theory explanation of why certain transitions between ground states are forbidden. It is because taking a quasihole around a generator of the torus can change the fusion channel of the two quasiholes, and this requires a change of parity of the electron number in some of the ground states.

Original languageEnglish (US)
Pages (from-to)4923-4947
Number of pages25
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number19
DOIs
StatePublished - May 11 2007

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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