Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-09-29
Phys.Rev. B59 (1999) 8084
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages Revtex in two column format with 4 eps figures included in the MS
Scientific paper
10.1103/PhysRevB.59.8084
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 k+1-body interactions, for all integers k > 0. The remarkably simple wavefunctions of these states involve clusters of k particles, and are related to correlators of parafermion currents in two-dimensional conformal field theory. The k=2 case is the Pfaffian. For k > 1, the quasiparticle excitations of these systems are expected to possess nonabelian statistics, like those of the Pfaffian. For k=3, these ground states have large overlaps with the ground states of the (2-body) Coulomb-interaction Hamiltonian for electrons in the first excited Landau level at total filling factors \nu=2+3/5, 2+2/5.
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Rezayi Edward
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