Eur. Phys. J. Appl. Phys. 83, 30101 (2018)
https://doi.org/10.1051/epjap/2018180013

Regular Article

The conduction band non-parabolicity of degenerate AZO semiconductors: k.p method

¹ Department of Physics, Urmia University, 11 km Serow Road, Urmia, Iran
² Urmia University Campus, Shahid Beheshti Ave., Urmia, Iran

^* e-mail: a.esmaeili@urmia.ac.ir

Received: 11 January 2018
Received in final form: 2 September 2018
Accepted: 5 September 2018
Published online: 26 October 2018

Abstract

We present a discussion regarding the conduction band non-parabolicity and the Fermi energy of Al doped ZnO (AZO) degenerate semiconductors using the higher orders of Fermi–Dirac (F-D) integrals. We find an analytical expression for Fermi energy, based on two-band k.p theory and modified Boltzmann's classical equation. We examine the accuracy of resulted expression using absolute error value.