Quantum Transmission Conditions for Diffusive Transport in Graphene with Steep Potentials

Diffusive Transport in Periodic Potentials: Underdamped Dynamics

In this paper we present a systematic and rigorous method for calculating the diffusion tensor for a Brownian particle moving in a periodic potential which is valid in arbitrary dimensions and for all values of the dissipation. We use this method to obtain an explicit formula for the diffusion coefficient in one dimension which is valid in the underdamped limit, and we also obtain higher order ...

Ballistic versus diffusive transport in graphene

Mario F. Borunda,1,2,* H. Hennig,2 and Eric J. Heller2,3 1Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA (Received 9 April 2013; revised manuscript received 9 August 2013; publish...

Diffusive charge transport in graphene on SiO2

We review our recent work on the physical mechanisms limiting the mobility of graphene on SiO2. We have used intentional addition of charged scattering impurities and systematic variation of the dielectric environment to differentiate the effects of charged impurities and short-range scatterers. The results show that charged impurities indeed lead to a conductivity linear in density (σ(n) ∝ n) ...

Quantum transport thermometry for electrons in graphene.

We propose a method of measuring the electron temperature T_{e} in mesoscopic conductors and demonstrate experimentally its applicability to micron-size graphene devices in the linear-response regime (T_{e} approximately T, the bath temperature). The method can be especially useful in case of overheating, T_{e}>T. It is based on analysis of the correlation function of mesoscopic conductance flu...

Quantum Transport in Graphene Quantum Dots