In this paper, we adopt the density functional theory(DFT)plane wave pseudopotential method to study the crystal structure and electronic properties for the different concentrations of the doped ZnO with K and K-2N. We show that compared with our calculated results, the band gap of the doped ZnO with K becomes wider, and that the Fermi level is less than the valence band maximum. We also find that the band gap of the codoped ZnO with K-2N becomes narrower. The codoping is an important way to improve the characteristic of p-type ZnO. On the other hand, certain changes of the optical properties of doped ZnO have taken place, I. E. , a new absorption peak happens in ZnO absorption spectrum and the new peak occurs in the imagery part of dielectric function. Static dielectric constant of the codoped ZnO with K-2N both becomes bigger.%本文采用基于第一性原理的密度泛函理论(DFT)平面波超软赝势方法,计算了未掺杂ZnO和K,K-2N掺杂ZnO体系的晶体结构、能带、电子态密度与光学性质.研究表明:K掺杂ZnO体系,带隙变宽,在费米能级附近引入了较浅的受主能级,费米能级进入到价带中.而K-2N共掺杂体系中,带隙变窄,形成了浅受主能级,这个对改善ZnO的p型掺杂有重要意义.另一方面,掺杂后ZnO的光学性质也发生了一定变化,ZnO吸收谱中出现了新的吸收峰,同时介电函数虚部都出现了新的波峰,静态介电常数ε(0)也都增大了.
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