Theory of Fractional Quantum Hall Effect
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Date
2012-04
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Addis Ababa University
Abstract
This project is devoted to the investigation of the modern state of the problem connected with
quantum Hall effect (integral and fractional). The quantum Hall effect is a quantum-mechanical
version of the Hall effect, observed in two dimensional electron systems subjected to low
temperatures (< 11) and strong magnetic fields (∼ 104), in which the Hall conductance5( )
takes on the quantized values(678
9 ) with : an integer (integer quantized Hall effect) or a rational
fraction (fractional quantized Hall effect), independent of the detail of the sample geometry. in
this project we see detail description of fractional quantum hall effect by using some theories, It
starts from the LAUGHLIN states and their generalization following JAIN’s picture of composite
fermions. The work of this project ends with a description of the fractional quantum hall effect
in graphene, since graphene is two dimensional carbon and carbon atoms in graphene, shows
electron-electron interaction thus we must expect fractional quantum hall effect in graphene
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Theory of Fractional