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  • Title: Dynamical mass generation of composite Dirac fermions and fractional quantum Hall effects near charge neutrality in graphene.
    Author: Cai F, Yu Y, Wang Z.
    Journal: J Phys Condens Matter; 2013 Jul 31; 25(30):305601. PubMed ID: 23824447.
    Abstract:
    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 ν = 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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