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Recent experiment reveals the appearance of incompressible fractional quantum Hall effect states in monolayer graphene at  and  ,  substituting the compressible Hall metal states at these fillings in the lowest Landau level in a narrow magnetic field window depending on the sample parameters. Simultaneously, none such behavior has been observed either for  or  ,  . We propose an explanation of these observations in terms of homotopy of monolayer graphene in consistence with a general theory of correlated states in planar Hall systems.

Explanation of an unexpected occurrence of ν=±12 fractional quantum Hall effect states in monolayer graphene