SU(3) and SU(4) Singlet Quantum Hall States at v = 2/3

Author(s)
Wu, Fengcheng; MacDonald, Allan H.; Jolicoeur, Thierry; Sodemann Villadiego, Inti A.
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Abstract
We report on an exact diagonalization study of fractional quantum Hall states at a filling factor of ν = 2/3 in a system with a fourfold degenerate n = 0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states which appear at a flux quantum shift 2 when a spherical geometry is employed and lie outside the established composite-fermion or multicomponent Halperin state patterns. We evaluate the two-particle correlation functions of these states and discuss quantum phase transitions in graphene between singlet states with a different number of components as the magnetic field strength is increased.
Date issued
2015-10
URI
http://hdl.handle.net/1721.1/99358
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Wu, Fengcheng, Inti Sodemann, Allan H. MacDonald, and Thierry Jolicoeur. “SU(3) and SU(4) Singlet Quantum Hall States at ν = 2/3.” Physical Review Letters 115, no. 16 (October 2015). © 2015 American Physical Society
Version: Final published version
ISSN
0031-9007
1079-7114
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