“…where D ¼ 4pm*/h 2 is the conduction band density of states of a 2-D system, k B is the Boltzmann's constant, m* is the electron effective mass (m* ¼ 0.22m o ), m o is the electron rest mass, h is Planck's constant, T is the absolute temperature, E F is the Fermi energy and the allowed energy levels in the triangular quantum well are E i ¼ c i n s 2/3 (eV) for i ¼ 0.1 with c 0 ¼ 2.123 Â 10 À12 and c 1 ¼ 3.734 Â 10 À12 [10]. Equation (1) shows the relationship between the sheet carrier density, n s , and the Fermi level E f , and assumes a triangular potential well with only the first two quantum states (E 1 and E 0 ) being occupied.…”