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arXiv 1708.03589cond-mat.mtrl-sci
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ZnGeN $_2$中的天然间质缺陷

Native interstitial defects in ZnGeN$_2$

Dmitry Skachkov, Walter R. L. Lambrecht

摘要:

采用密度泛函方法研究了ZnGeN $_2$中的间隙态Zn $_i$、Ge $_i$和N $_i$.通过LDA+U方法包括对带隙的校正。Zn和Ge晶体都被发现强烈倾向于较大的八面体位置相比,两种类型的四面体网站。锌间隙被发现是一个浅的双施主,但具有更高的能量比以前研究的反位缺陷。它在导带中具有类似Zn- $s$的共振。Ge间隙是甚至更高的形成缺陷的能量,并且也表现为浅双施主,但是在间隙中也具有深能级,对应于Ge- $s$轨道特性,而Ge- $p$在导带中形成共振。氮间隙形成分裂间隙配置,如也发生在GAN中。其电子能级可与N $_2$分子的电子能级相关。带隙中的缺陷能级对应于分子的类$π_g$最低未占分子轨道(LUMO),其在缺陷的中性电荷状态下被3个电子填充。发现它们在$q=+1$态更倾向于高自旋构型。得到了相应的跃迁能级,表明这是发生在$+2$、$+1$、0和$-1$电荷态的两性陷阱能级。这种分裂间隙的两个可能的位置,在Zn顶部或在Ge顶部,在N $_2$键长上略有不同。虽然N $_i$缺陷具有最低的形成能,但它仍然高于反位。因此,预计它们不会以足够的浓度出现以影响本征费米能级位置。特别是,它们不会导致无意的n型背景掺杂。

英文摘要:

A density functional study is presented of the interstitial Zn$_i$, Ge$_i$, and N$_i$ in ZnGeN$_2$. Corrections to the band gap are included by means of the LDA+U method. The Zn and Ge interstitials are both found to strongly prefer the larger octahedral site compared to the two types of tetrahedral sites. The Zn interstitial is found to be a shallow double donor but has higher energy than previously studied antisite defects. It has a resonance in the conduction band which is Zn-$s$ like. The Ge interstitial is an even higher energy of formation defect and also behaves as a shallow double donor but has also a deep level in the gap, corresponding to a Ge-$s$ orbital character while the Ge-$p$ forms a resonance in the conduction band. The nitrogen interstitial forms a split-interstitial configuration, as also occurs in GaN. Its electronic levels can be related to that of a N$_2$ molecule. The defect levels in the gap correspond to the $π_g$-like lowest unoccupied molecular orbital (LUMO) of the molecule, which here becomes filled with 3 electrons in the defect's neutral charge state. They are found to prefer a high-spin configuration in the $q=+1$ state. The corresponding transition levels are obtained and show that this is an amphoteric trap level occurring in $+2$, $+1$, 0 and $-1$ charge states. The two possible sites for this split interstitial, on top of Zn or on top of Ge differ slightly in N$_2$ bond-length. While the N$_i$ defects have the lowest formation energy among the interstitials, it is still higher than that of the antisites. Hence they are not expected to occur in sufficient concentration to affect the intrinsic Fermi level position. In particular, they do not contribute to the unintentional n-type background doping.

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