A model describing a system in which Landau electronic modes are coupled with phonons is proposed and discussed. A simplified version of the model is further analyzed, with special attention to the dynamical symmetries that characterize it. In particular, the corresponding equations of motion are thoroughly examined: they provide a variety of behaviors, ranging from completely integrable (in both the classical and quantum case) to chaotic (in the semiclassical approximation). The chaotic regime is believed to be suitable to eventually represent the stochastic behavior of the longitudinal voltage versus time, recently observed in several quantum Hall effect experiments.

Phonons in the quantum Hall effect: A nonlinear-dynamics picture / Penna, Vittorio; Rasetti, Mario. - In: PHYSICAL REVIEW. B, CONDENSED MATTER. - ISSN 0163-1829. - 50:(1994), pp. 11783-11794. [10.1103/PhysRevB.50.11783]

Phonons in the quantum Hall effect: A nonlinear-dynamics picture

PENNA, Vittorio;RASETTI, Mario
1994

Abstract

A model describing a system in which Landau electronic modes are coupled with phonons is proposed and discussed. A simplified version of the model is further analyzed, with special attention to the dynamical symmetries that characterize it. In particular, the corresponding equations of motion are thoroughly examined: they provide a variety of behaviors, ranging from completely integrable (in both the classical and quantum case) to chaotic (in the semiclassical approximation). The chaotic regime is believed to be suitable to eventually represent the stochastic behavior of the longitudinal voltage versus time, recently observed in several quantum Hall effect experiments.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1404127
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