Landau levels and hall effect in two Dimentional systems
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Date
2014-06
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Addis Ababa University
Abstract
In this thesis, we represent Classical Hall Effect and Quantum Hall Effect
studies at high magnetic field and low temperature in 2DEG and in high
quality and charge carrier bilayer graphene samples for the degenerate
Landau levels, with a particular emphasis on Integer and Fractional
Quantum Hall effects. And also we have studied about the equation of
quantization energy (Landau levels) by using Landau gauge and symmetric
gauge solutions in 2DEG and bilayer graphene samples.
In 2DEG and in bilayer graphene, the thermal energy is less than
quantization energy (<=T ≪ ℏ @A) and degeneracy (g) is greater than or
equal to total number of electrons. In this situation Quantum Hall Effect can
be observed with quantized Hall resistances and plateaus for integer and
fractional filing factor
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Landau levels and hall effect