SU(3) and SU(4) singlet quantum Hall states at $\nu=2/3$
Fengcheng Wu, Inti Sodemann, Allan H. MacDonald, Thierry Jolicoeur
TL;DR
This study uses exact diagonalization to discover new SU(3) and SU(4) singlet quantum Hall states at filling factor 2/3, revealing states outside traditional models and exploring phase transitions in graphene.
Contribution
It uncovers previously unidentified SU(3) and SU(4) singlet states at ν=2/3 that are outside established theoretical patterns, expanding understanding of quantum Hall states.
Findings
Identified SU(3) and SU(4) singlet ground states at flux quantum shift 2.
States lie outside composite-fermion and Halperin state patterns.
Discussed quantum phase transitions in graphene with varying magnetic fields.
Abstract
We report on an exact diagonalization study of fractional quantum Hall states at filling factor in a system with a four-fold degenerate =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.
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