Electron-quasihole duality and second-order differential equation for Read-Rezayi and Jack wave functions

Article

关键词: INCOMPRESSIBLE QUANTUM FLUID;    PARAFERMIONIC THEORY;    HALL STATES;    SYMMETRIC POLYNOMIALS;    OPERATOR ALGEBRA;    FIELD-THEORY;    Z(N);    STATISTICS;    MATRICES;    MODELS;   

DOI  :  10.1103/PhysRevB.82.205307

来源: SCIE

【 摘 要 】

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 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 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 WA(k-1)(k + 1, k + r) corresponding to the recently introduced Jack states.

【 授权许可】

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