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

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

2001-02-28

arxiv.org/abs/cond-mat/0102532v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

two-column 4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.87.026803

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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