1206.6100 (Viktor Ariel et al.)

Electron Effective Mass in Graphene    [PDF]

Viktor Ariel, Amir Natan

The particle effective mass in graphene is a challenging concept because the commonly used theoretical expression is mathematically divergent and does not agree with experimental measurements of the effective mass. In this paper, we use basic principles to present a simple theoretical expression for the effective mass which seems suitable for both parabolic and non-parabolic isotropic materials. We demonstrate that this definition is consistent with the definition of the cyclotron effective mass, which is the most common method of effective mass measurement in solid state materials. We apply the proposed theoretical definition to graphene and demonstrate linear dependence of the effective mass on momentum, which is confirmed by experimental cyclotron resonance measurements. Therefore, it appears that the proposed definition of the effective mass can be used for description of the particle transport properties in non-parabolic materials such as graphene.

View original: http://arxiv.org/abs/1206.6100