Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-05-19
Physics
Condensed Matter
Strongly Correlated Electrons
Scientific paper
We consider the quasihole wavefunctions of the non-abelian Read-Rezayi quantum Hall states which are given by the conformal blocks of the minimal model WA_{k-1}(k+1,k+2) of the WA_{k-1} algebra. By studying the degenerate representations of this conformal field theories, we derive a second order differential equation satisfied by a general many-quasihole wavefunction. We find a duality between the differential equations fixing the electron and quasihole wavefunctions. They both satisfy the Laplace-Beltrami equation. We use this equation to obtain an analytic expression for the generic wavefunction with one excess flux. These results also apply to the more general models WA_{k-1}(k+1,k+r) corresponding to the recently introduced Jack states.
Bernevig Andrei B.
Estienne Benoit
Santachiara Raoul
No associations
LandOfFree
Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electron-Quasihole Duality and Second Order Differential Equation for Read-Rezayi and Jacks Wavefunctions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-480128