1. SU(3) and SU(4) singlet quantum Hall states at $\nu=2/3$
- Author
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Fengcheng Wu, Inti Sodemann, Thierry Jolicoeur, Allan H. MacDonald, University of Texas at Austin [Austin], Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), and Le Vaou, Claudine
- Subjects
Quantum phase transition ,Physics ,[PHYS]Physics [physics] ,Condensed Matter - Mesoscale and Nanoscale Physics ,Degenerate energy levels ,General Physics and Astronomy ,02 engineering and technology ,Landau quantization ,Quantum Hall effect ,021001 nanoscience & nanotechnology ,01 natural sciences ,[PHYS] Physics [physics] ,Magnetic field ,Condensed Matter - Strongly Correlated Electrons ,Magnetic flux quantum ,Quantum mechanics ,0103 physical sciences ,Coulomb ,Singlet state ,010306 general physics ,0210 nano-technology - Abstract
We report on an exact diagonalization study of fractional quantum Hall states at filling factor $\nu=2/3$ in a system with a four-fold 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 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 different number of components as magnetic field strength is increased., Comment: 5+2 pages, 3 figures
- Published
- 2015