Differential thermoelectric power of bilayer graphene nanoribbons with hydrogen adsorbed atoms

In this paper we propose the calculating technique for the differential thermopower of bilayer graphene nanoribbons with surface atomic hydrogen adsortion. Differential thermoelectric power characterizes the rate of potential difference change induced by the temperature gradient when the temperature changes.
Analytical method of calculation makes it possible to obtain the dependence of the bilayer graphene ribbons differential thermopower on the concentration of the adsorbed on the surface of the hydrogen atoms of the external constant electric field, the geometric dimensions of the transverse strips and the electrostatic potential between the layers of ribbon. Adsorption of hydrogen atoms on the graphene ribbon surface described using periodic Anderson model. Bilayer graphene ribbons are considered in the pi-electron Huckel approximation.
Formula of differential thermopower in doped bilayer graphene ribbons derived analytically in an external electric field and found its nonlinear dependence of the field strength. We investigated the dependence of the differential thermoelectric power of the concentration of adsorbed atoms, ribbons geometry and magnitude of electrostatic potential between the layers of the ribbons.