Localization in Landau Levels of 2D Systems and the Quantum Hall Effect
A recent development in understanding the problem of electron localization in two-dimensional systems in strong magnetic fields is reviewed mainly from a theoretical point of view with emphasis on the relation to the quantum Hall effect. It is shown that all the states are localized exponentially except those just at the center of the Landau level in sufficiently strong magnetic fields. The energy of extended states is shifted to the higher energy side with decreasing magnetic field. There is a scaling relation between the diagonal and off-diagonal components of the conductivity tensor.
KeywordsSystem Size Strong Magnetic Field Landau Level Extended State Quantum Hall Effect
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