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Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
Xin Wan, Kun Yang, E. H. Rezayi
We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction , with Coulomb interaction and background confining po…
Generalized Quantum Hall Projection Hamiltonians
Steven H. Simon, E. H. Rezayi, N. R. Cooper
Certain well known quantum Hall states -- including the Laughlin states, the Moore-Read Pfaffian, and the Read-Rezayi Parafermion states -- can be defined as the unique lowest degr…
A nu=2/5 Paired Wavefunction
Steven H. Simon, E. H. Rezayi, N. R. Cooper +1
We construct a wavefunction, generalizing the well known Moore-Read Pfaffian, that describes spinless electrons at filling fraction nu=2/5 (or bosons at filling fraction nu=2/3) as…
Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level
E. H. Rezayi, N. Read
We present results of extensive numerical calculations on the ground state of electrons in the first excited (n=1) Landau level with Coulomb interactions, and including non-zero th…
Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor
N. R. Cooper, E. H. Rezayi
We study the groundstates of weakly interacting atomic Bose gases under conditions of rapid rotation. We present the results of large-scale exact diagonalisation studies on a perio…