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journal id: "physicalxreviewxb"
| Authors | B. Estienne, B.A. Bernevig, R. Santachiara | | Title | Electron-quasihole duality and second-order differential equation for Read-Rezayi and Jack wave functions |
| Journal | Physical Review B |
| Volume | 82 |
| Year | 2011 |
| Issue | 20 |
| Pages | 205307- |
| ISSN | 10980121 |
| Faculty | Faculty of Science |
| Institute/dept. | FNWI: Institute for Theoretical Physics (ITF) |
| Abstract | We consider the quasihole wave functions of the non-Abelian Read-Rezayi quantum-Hall states which are given by the conformal blocks of the minimal model WAk−1(k+1,k+2) of the WAk−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 wave function. We find a duality between the differential equations fixing the electron and quasihole wave functions. They both satisfy the Laplace-Beltrami equation. We use this equation to obtain an analytic expression for the generic wave function with one excess flux. These results also apply to the more general models WAk−1(k+1,k+r) corresponding to the recently introduced Jack states. |
| Document type | Article |
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