Estimation of effective carrier concentrations for systems of 2D electron gas and graphene structure
Jing-Ying Lin1*, Feng-Chuan Chung1, Yan-Ten Lu2
1Department of Physics, National Sun Yat-Sen University, Kaohsiung, Taiwan
2Department of Physics, National Cheng Kung University, Tainan, Taiwan
* presenting author:林京萾, email:ginin94@gmail.com
In a recent report[1], the conductivity of a system depend on its effective carrier concentration:

n_eff= ∫_0^∞▒〖g(ϵ) f(ϵ)dϵ〗
Where g(ϵ) is the density of states, and f(ϵ) is the Fermi-Dirac distribution function. In this report, we will present our calculation for the system of 2-dim electron gas, and for the linear band structure of graphene. The effective carrier concentrations are shown as a function of both doped carrier concentration and temperature.

[1] Vilius Palenskis, World Journal of Condensed Matter Physics, 2014, 4, 123-133


Keywords: density of state, effective carrier density, 2DEG, graphene