Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level

N. Read and E. Rezayi
Phys. Rev. B 59, 8084 – Published 15 March 1999
PDFExport Citation

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 k+1-body interactions, for all integers k>~1. 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 k=2 case is the Pfaffian. For k>~2, the quasiparticle excitations of these systems are expected to possess non-Abelian statistics, like those of the Pfaffian. For k=3, 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 ν=2+3/5,2+2/5.

  • Received 16 October 1998

DOI:https://doi.org/10.1103/PhysRevB.59.8084

©1999 American Physical Society

Authors & Affiliations

N. Read

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030
  • Departments of Physics and Applied Physics, Yale University, P.O. Box 208120, New Haven, Connecticut 06520-8120

E. Rezayi

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030
  • Department of Physics, California State University, Los Angeles, California 90032

References (Subscription Required)

Click to Expand
Issue

Vol. 59, Iss. 12 — 15 March 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×