Numerical studies of the Pfaffian model of the nu=5/2 fractional quantum Hall effect

Abstract

The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at nu=5/2. We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies, and off-diagonal long range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.

one column removed from Table II. Solid State Communications, in press

References in corpus (2)

• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Understanding the 5/2 Fractional Quantum Hall Effect without the Pfaffian Wave Function

Cited by in corpus (8)

• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Fractional quantum Hall state at ν=1/4 in a wide quantum well
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Change in the character of quasiparticles without gap collapse in a model of fractional quantum Hall effect
• Topological entropy of realistic quantum Hall wave functions
• Fusion mechanism for quasiparticles and topological quantum order in the lowest Landau level