Determination of electron mobility in graphene on Cu2O substrate by numerical simulation with the Monte Carlo method

Quispe-Abarca H.; Rojas H.A.; Rojas L.A. · AIP Conference Proceedings (2023) · DOI: 10.1063/5.0131800

Resumen

The determination of the mobility of the conduction electrons in graphene on Cu2O substrate has been determined by means of a program developed in Matlab, where the Monte Carlo numerical method has been included in the choice of different dispersion mechanisms suffered by electrons with acoustic phonons, optical phonons, surface optical phonons, remote impurities, and existence of substrate roughness. Likewise, solve the Boltzmann semiclassical transport equation of the set of electrons, to better approximate the phenomenon of electron transport in graphene whose nature is stochastic. In addition, the Pauli exclusion principle is included through the discretization of the reciprocal space, following a polar symmetry, to find the speed and energy of the set of simulated electrons. The results obtained from the simulation to find mobility, shows that the electrons in graphene on a Cu2O substrate have a maximum around an electron density of 1.2×1012 cm-2, predicting that there are optimal values of this variable for graphene in Cu2O. On the other hand, the average energy of the electrons remains almost constant with electric fields of up to 1.5 kVcm-1, because the electrons gain great energy by absorption of surface optical phonons, within the energy range studied. This leads to the importance of the type of substrate as a modifying entity of the velocity of the electrons.

Instituciones: Universidad Católica de Santa María