Fractional Quantum Hall Hierarchy and the Second Landau Level

Bonderson, Parsa and Slingerland, J. K. (2007) Fractional Quantum Hall Hierarchy and the Second Landau Level. Physical Review B, 78 (12). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.78.125323

Abstract

We generalize the Haldane-Halperin hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Using this, we propose trial wave functions to describe the observed Hall conductance plateaus in the second Landau level. These hierarchy states are constructed over the Moore-Read state, the expected description of the ν = 5/2 plateau, such that the quasiparticle gases generating the hierarchization only involve excitations from the electric charge sector. These proposed states all have electron pairing in the ground state and an excitation spectrum that includes non-Abelian anyons of the Ising model σ-vortex type.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:23
Last Modified: 16 Jul 2018 09:41
URI: http://dair.dias.ie/id/eprint/215

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