Regular Article

The European Physical Journal B

, 85:356

Relativistic Brownian motion on a graphene chip

  • A. PototskyAffiliated withDepartment of Mathematics, University of Cape Town
  • , F. MarchesoniAffiliated withDipartimento di Fisica, Università di Camerino
  • , F. V. KusmartsevAffiliated withDepartment of Physics, Loughborough University
  • , P. HänggiAffiliated withInstitut für Physik, Universität Augsburg
  • , S. E. Savel’evAffiliated withDepartment of Physics, Loughborough University Email author 

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Abstract

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.

Keywords

Statistical and Nonlinear Physics