Relativistic Brownian motion on a graphene chip

TL;DR

This paper demonstrates how relativistic Brownian motion on a graphene chip can reveal noise-controlled effects like effective mass, transverse ratchet current, and stochastic resonance, with potential applications in graphene-based technologies.

Contribution

It introduces the experimental realization of relativistic Brownian motion on graphene and explores its unique noise-controlled phenomena.

Findings

Suppression of particle mobility with increasing temperature.

Observation of a transverse ratchet effect under ac drive.

Detection of chaotic stochastic resonance.

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) a transverse ratchet effect, measurable as a net current orthogonal to an ac drive on an asymmetric substrate, and (iii) a chaotic stochastic resonance. Such properties can be of practical applications in the emerging graphene technology.