New aspects in the theory of the integer quantum Hall effect

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Abstract
In the framework of our recently proposed new theoretical approach to the integer quantum Hall effect (IQHE) an explicit weak disorder model is investigated. Here the dynamics of a single electron causes randomization of phases in the time dependent wave function of the electron, which permits the description of the time evolution of the electron in terms of probabilities associated with different paths in the energy-time plane of the scattering process. This leads to a detailed explanation of the microscopic mechanism, which is responsible for the formation of the Hall conductance plateaus in this system. The principal new aspects of our general theoretical approach are discussed and confronted to previous theories based on similar models