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

被引:9
作者
Wu, Fengcheng [1 ]
Sodemann, Inti [2 ]
MacDonald, Allan H. [1 ]
Jolicoeur, Thierry [3 ,4 ]
机构
[1] Univ Texas Austin, Dept Phys, Austin, TX 78712 USA
[2] MIT, Dept Phys, Cambridge, MA 02139 USA
[3] CNRS, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[4] Univ Paris 11, F-91405 Orsay, France
关键词
LANDAU-LEVEL; INCOMPRESSIBLE STATES; BILAYER GRAPHENE; DIRAC FERMIONS; SPIN; CONDENSATION; EXCITATIONS; SYSTEMS;
D O I
10.1103/PhysRevLett.115.166805
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report on an exact diagonalization study of fractional quantum Hall states at a filling factor of nu = 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.
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页数:5
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