Electron transport in disordered graphene and bigraphene

Abstract

The electronic transfer in disordered graphene and bigraphene is investigated taking into account electron scattering on impurity and various structures of short-range order. The new expression for electronic thermal conductivity Kel(T) is suggested for a system in the process of “ordering-stratification” transformation. The electron scattering on impurities is shown to contribute to Kel(T) mainly and depend on temperature as T. The impact of scattering on the short-range ordered complexes depends on temperature as ~ T2 in a single-layer graphene and ~ T1.5 in bigraphene which corresponds to experimental data for total thermal conductivity. Kel(T) in a bigraphene is higher than in a single-layer graphene, but the order of magnitude in these systems is the same and amounts to ~ 10–15% of the value of the total thermal conductivity. This value is significantly higher than that usually obtained in the standard calculations for pure graphene (~ 0.01–1%). Electrical conductivity is calculated using the expression obtained for the thermal conductivity. A good agreement of theoretical results for thermal and electrical conductivity with experimental data is achieved. The possible atomic configurations corresponding to the short-range ordered complexes in graphene and bigraphene which are taken into account in the calculations, are represented.