Senbeta, Teshome (PhD)Eticha, Moreda2018-07-022023-11-092018-07-022023-11-092015-10http://10.90.10.223:4000/handle/123456789/5197We studied Quantum Hall E ect with and without magnetic eld in graphene. The quan- tum Hall e ect is a quantum-mechanical version of the Hall e ect, observed in graphene, in which the Hall conductance ( H) takes on the quantized values ( e2/h) with = 4(n+1 2 ) an integer (integer quantized Hall E ect in graphene). Our study con rmed that there is a zero energy Landau level in graphene with magnetic elds. The fractional quantum Hall e ect in graphene is observed as the result of coulomb interaction and correlation of electronsenQuantum hall EffectThesis