Size-dependent electron chemical potential in nanostructures derived from statistical configuration

Authors : Desyana Olenka MARGARETTA, Nadya AMALIA, Fısca Dıan UTAMI, Rırı MURNIATI, Sparısoma VIRIDI, Mıkrajuddın ABDULLAH

Pages : 195-213

Doi:10.3906/fiz-1907-27

View : 18 | Download : 10

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We rederived the fermion distribution function by considering the effect of assembly size. We did not use Stirling approximation to avoid the deviation generated by this approximation for a small number of constituents and small assembly size. Furthermore, we identified that in small systems, the chemical potential should also depend on the assembly size. We also rederived a general expression for the size-dependent chemical potential from a statistical configuration and showed that it is consistent with the results from previously reported theoretical or simulation methods. Finally, we applied the model to derive a size-dependent thermoelectric power factor of nanostructured materials. One important finding is that the power factor initially increases when reducing the particle size; however, it then reduces to approach zero when further reducing the material size, due to a dramatic change in the material behaviors.
Keywords : Chemical potential, statistical configuration, thermoelectric power factor, nanostructure