Abstract
This paper explores the uses of particle-hole symmetry in the study of the anomalous quantum Hall effect. A rigorous algorithm is presented for generating the particle-hole dual of any state. This is used to derive Laughlin's quasihole state from first principles and to show that this state is exact in the limit , where is the Landau-level filling factor. It is also rigorously demonstrated that the creation of quasiholes in Laughlin's state with is precisely equivalent to creation of one true hole. The charge-conjugation procedure is also generalized to obtain an algorithm for the generation of a hierarchy of states of arbitrary rational filling factors.
- Received 27 February 1984
DOI:https://doi.org/10.1103/PhysRevB.29.6012