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arxiv: cond-mat/0102532 · v1 · submitted 2001-02-28 · ❄️ cond-mat.mes-hall · nlin.CD

Devil's Staircase in Magnetoresistance of a Periodic Array of Scatterers

classification ❄️ cond-mat.mes-hall nlin.CD
keywords staircasedevilfieldperiodicanalyticalarrayattributedcharged
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The nonlinear response to an external electric field is studied for classical non-interacting charged particles under the influence of a uniform magnetic field, a periodic potential, and an effective friction force. We find numerical and analytical evidence that the ratio of transversal to longitudinal resistance forms a Devil's staircase. The staircase is attributed to the dynamical phenomenon of mode-locking.

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