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 |