How edge states are destroyed in disordered mesoscopic samples?

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We report theoretical investigations on how edge states are destroyed in disordered mesoscopic samples by calculating a "phase diagram" in terms of energy versus disorder strength $(E,W)$, and magnetic field versus disorder strength $(B,W)$, in the integer quantum Hall regime. It is found that as the disorder strength $W$ increases, edge states are destroyed one by one if transmission eigen-channels are used to characterize the edge states. Near the insulating regime, transmission eigen-channels are closed one by one in the same order as edges states are destroyed. To identify those edge states which have survived disorder, we introduce a generalized current density that can be calculated and visualized.

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/164074

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.0340
 http://arxiv.org/abs/0807.0340

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arXiv