Composite Fermion Dynamics in Half-Filled Landau Levels of Graphene
A. Wójsa, b, G. Möllera and N.R. Coopera
aTCM Group, Cavendish Laboratory, University of Cambridge, Cambridge, UK
bInstitute of Physics, Wrocław University of Technology, Wrocław, Poland
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We report on exact-diagonalization studies of correlated many-electron states in the half-filled Landau levels of graphene, including pseudospin (valley) degeneracy. We demonstrate that the polarized Fermi sea of non-interacting composite fermions remains stable against a pairing transition in the lowest two Landau levels. However, it undergoes spontaneous depolarization, which is unprotected owing to the lack of single-particle pseudospin splitting. These results suggest the absence of the Pfaffian phase in graphene.
DOI: 10.12693/APhysPolA.119.592
PACS numbers: 71.10.Pm, 73.22.Pr, 73.43.Cd