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

2001/02/28 by Jan Wiersig, Kang-Hun Ahn · 4 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.87.026803

two-column 4 pages, 5 figures

arxiv created 2001/02/28 · openalex publication_date 2001/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The nonlinear response to an external electric field is studied for classical noninteracting 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 transverse to longitudinal resistance forms a Devil's staircase. The staircase is attributed to the dynamical phenomenon of mode-locking.

Citations

• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems

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