Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 25, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/25/30/305601
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Funding
- DOE [DE-FG02-99ER45747]
- NNSF of China
- 973 program of MOST of China
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We develop a composite Dirac fermion theory for the fractional quantum Hall effects (QHE) near charge neutrality in graphene. We show that the interactions between the composite Dirac fermions lead to a dynamical mass generation through exciton condensation. The four-fold spin-valley degeneracy is fully lifted due to the mass generation and exchange effects such that the odd-denominator fractional QHE observed in the vicinity of charge neutrality can be understood in terms of the integer QHE of composite Dirac fermions. At a filling factor nu = 1/2, we show that the massive composite Dirac fermion liquid is unstable against chiral p-wave pairing for weak Coulomb interactions and the ground state is a paired non-Abelian quantum Hall state described by the Moore-Read Pfaffian in the long wavelength limit.
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