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arXiv 2002-04-11 0 views

Aharonov-Bohm Effect in the Quantum Hall Regime and fingering instability

Wiegmann, P.

Original · EN

The shape of an electronic droplet in the quantum Hall effect is sensitive to gradients of the magnetic field, even if they are placed outside the droplet. Magnetic impurities cause a fingering instability of the edge of the droplet, similar to the Saffman-Taylor fingering instability of an interface between two immiscible phases. We discuss the fingering instability and some algebraic aspects of the electronic states in a strong nonuniform field.

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