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arXiv 1607.00231cond-mat.str-el
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Mn离子在CdTe中的交换耦合:稀磁II-VI半导体自旋模型的有效性

Exchange couplings for Mn ions in CdTe: validity of spin models for dilute magnetic II-VI semiconductors

Thorben Linneweber, Jörg Bünemann, Ute Löw, Florian Gebhard, Frithjof Anders

摘要:

本文采用密度泛函理论(DFT)的广义梯度近似(GGA)及其扩展GGA+ $U$和GGA+Gutzwiller方法,计算了在很小的掺杂量下,Mn离子对取代Cd的CdTe晶体中的磁交换耦合。DFT(GGA)高估了三倍的交换耦合,因为它低估了Mn掺杂的II-VI族半导体中的电荷转移间隙。将最近邻耦合$J_1$固定到GGA+ $U$、GGA+Gutzwiller中的实验值,或通过DFT(GGA)结果的简单缩放,可为Cd(Mn)Te、Zn(Mn)Te、Zn(Mn)Se和Zn(Mn)S中第2、第3和第4近邻距离处的交换耦合提供可接受的值。特别是,我们恢复实验观察到的关系$J_4>J_2,J_3$。Mn 3 $d$ -壳层的填充不是整数,这就对海森堡描述提出了质疑.然而,使用一个少离子玩具模型的图片出现了一个稍微扩展的本地时刻,使一个整数$3d$壳填充不是一个先决条件等距磁化平台,如在实验中看到的。

英文摘要:

We employ density-functional theory (DFT) in the generalized gradient approximation (GGA) and its extensions GGA+$U$ and GGA+Gutzwiller to calculate the magnetic exchange couplings between pairs of Mn ions substituting Cd in a CdTe crystal at very small doping. DFT(GGA) overestimates the exchange couplings by a factor of three because it underestimates the charge-transfer gap in Mn-doped II-VI semiconductors. Fixing the nearest-neighbor coupling $J_1$ to its experimental value in GGA+$U$, in GGA+Gutzwiller, or by a simple scaling of the DFT(GGA) results provides acceptable values for the exchange couplings at 2nd, 3rd, and 4th neighbor distances in Cd(Mn)Te, Zn(Mn)Te, Zn(Mn)Se, and Zn(Mn)S. In particular, we recover the experimentally observed relation $J_4>J_2,J_3$. The filling of the Mn 3$d$-shell is not integer which puts the underlying Heisenberg description into question. However, using a few-ion toy model the picture of a slightly extended local moment emerges so that an integer $3d$-shell filling is not a prerequisite for equidistant magnetization plateaus, as seen in experiment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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