Monte Carlo Analysis of Thermal Effects in Monolayer Graphene

ABSTRACT

Thermal effects in monolayer graphene under an electron flow are investigated with a Monte Carlo (MC) analysis. The crystal heating is described by simulating the phonon dynamics. In particular, the balance equations for the energy of acoustic, Γ optical, and K phonons are deduced. They contain a heating source which is evaluated by counting the emission and absorption processes during the MC simulation of electron flow. The rate of temperature rise is obtained for several Fermi energies and applied electric voltages.

KEYWORDS:

• Graphene
• crystal heating
• Monte Carlo

Funding

The authors (M. C. and V. R.) acknowledge the financial support by the project FIR 2014 Charge Transport in Graphene and Low Dimensional Structures: Modeling and Simulation, University of Catania, Italy. The authors (M.C. and G. M.) acknowledge the financial support from GNFM Progetto Giovani 2015.