Quantum Hall Effect In Graphene

We studied Quantum Hall E ect with and without magnetic eld in graphene. The quan-rntum Hall e ect is a quantum-mechanical version of the Hall e ect, observed in graphene, inrnwhich the Hall conductance ( H) takes on the quantized values ( e2/h) with = 4(n+1rn2 )rnan integer (integer quantized Hall E ect in graphene). Our study con rmed that therernis a zero energy Landau level in graphene with magnetic elds. The fractional quantumrnHall e ect in graphene is observed as the result of coulomb interaction and correlation ofrnelectrons

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