Composite Dirac fermions in graphene

D. V. Khveshchenko

Composite Dirac fermions in graphene

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arxiv cond-mat/0607174 v4 pith:UDWU2CCT submitted 2006-07-06 cond-mat.mes-hall

D. V. Khveshchenko This is my paper · ORCID

classification cond-mat.mes-hall

keywords compositefermionsdiracfactorsfillinggraphenehallquantum

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Generalizing the notion of composite fermions to the "pseudo-relativistic" Quantum Hall phenomena in graphene, we discuss a possible emergence of compressible states at the filling factors -3/2, -1/2, 1/2, 3/2. This analysis is further extended to the nearby incompressible states viewed as the Integer Quantum Hall Effect of the composite Dirac fermions, as well as those that might occur at the filling factors -1, 0, 1 as a result of the (pseudo)spin-singlet pairing between them.

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Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors
cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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