Abstract
The Pfaffian quantum Hall states, which can be viewed as involving pairing either of spin-polarized electrons or of composite fermions, are generalized by finding the exact ground states of certain Hamiltonians with -body interactions, for all integers The remarkably simple wave functions of these states involve clusters of k particles, and are related to correlators of parafermion currents in two-dimensional conformal field theory. The case is the Pfaffian. For the quasiparticle excitations of these systems are expected to possess non-Abelian statistics, like those of the Pfaffian. For these ground states have large overlaps with the ground states of the (two-body) Coulomb-interaction Hamiltonian for electrons in the first excited Landau level at total filling factors
- Received 16 October 1998
DOI:https://doi.org/10.1103/PhysRevB.59.8084
©1999 American Physical Society