Chemical potential within the dimensional crossover regions using a Gaussian-shaped density of states

Abstract

A size-varying model for the electronic density of states (DOS), emulating nanostructure fabrication process, is utilized to investigate the behavior of the chemical potential against temperature for various dimensions. As the dimension decreases, chemical potential rises with temperature. The low-temperature behavior for the 1D, 2D, and 3D cases is in good agreement with the Sommerfeld approximation. The observed rising trend of the chemical potential with temperature with dimensional decrease breaks down for systems leading to a 0D structure.