The European Physical Journal B

, 85:356

Relativistic Brownian motion on a graphene chip


  • A. Pototsky
    • Department of MathematicsUniversity of Cape Town
  • F. Marchesoni
    • Dipartimento di FisicaUniversità di Camerino
  • F. V. Kusmartsev
    • Department of PhysicsLoughborough University
  • P. Hänggi
    • Institut für PhysikUniversität Augsburg
    • Department of PhysicsLoughborough University
Regular Article

DOI: 10.1140/epjb/e2012-30716-7

Cite this article as:
Pototsky, A., Marchesoni, F., Kusmartsev, F.V. et al. Eur. Phys. J. B (2012) 85: 356. doi:10.1140/epjb/e2012-30716-7


Relativistic Brownian motion can be inexpensively demonstrated on a graphene chip. The interplay of stochastic and relativistic dynamics, governing the transport of charge carrier in graphene, induces noise-controlled effects such as (i) a stochastic effective mass, detectable as a suppression of the particle mobility with increasing the temperature; (ii) transverse harmonic mixing, whereby electron transport can be controlled by two orthogonal, commensurate ac drives; (iii) a transverse ratchet effect, measurable as a net current orthogonal to an ac drive on an asymmetric substrate, and (iv) chaotic stochastic resonance. Such properties can be of practical applications in the emerging graphene technology.


Statistical and Nonlinear Physics

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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012