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arXiv 1105.1129cond-mat.mes-hall
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石墨烯中取代空位的电子结构:密度泛函和格林函数研究

Electronic structure of the substitutional vacancy in graphene: Density-functional and Green's function studies

B. R. K. Nanda, M. Sherafati, Z. Popović, S. Satpathy

摘要:

我们使用密度泛函、紧束缚和杂质格林函数方法研究了单取代空位石墨烯的电子结构。用全电子自旋极化线性缀加平面波(LAPW)方法进行了密度泛函研究。与空位相邻的三个$sp^2 σ$悬挂键在中间带隙区域中引入局域态(V $σ$),其由于晶场和Jahn-Teller畸变而分裂,而$p_z π$态在能带结构中引入尖锐共振态(V $π$)。对于平面结构,对称性严格禁止$σ$和$π$态之间的杂化,因此在计算的能带结构中可以清楚地识别这些能带。至于空位的磁矩,洪德规则耦合使四个局域化的V $σ_1 \uparrow \downarrow$、V $σ_2 \uparrow $和V $π\uparrow$电子的自旋对齐,导致S=1状态,其中$2 μ_B$的磁矩由于空位附近的$π$带巡回状态的反铁磁自旋极化而减少约$0.3 μ_B$。这导致$1.7 μ_B$的净磁矩。使用Lippmann-Schwinger方程,我们重现了著名的$\sim 1/r$衰减的本地化V $π$波函数的距离,此外还发现一个干扰项来自两个狄拉克点,以前没有注意到在文献中。的VPDMATHABMP波函数的长程性质是一个独特的功能的石墨烯空缺,我们认为,这可能是广泛变化的松弛结构和磁矩的原因之一,从超晶胞能带计算报告在文献中。

英文摘要:

We study the electronic structure of graphene with a single substitutional vacancy using a combination of the density-functional, tight-binding, and impurity Green's function approaches. Density functional studies are performed with the all-electron spin-polarized linear augmented plane wave (LAPW) method. The three $sp^2 σ$ dangling bonds adjacent to the vacancy introduce localized states (V$σ$) in the mid-gap region, which split due to the crystal field and a Jahn-Teller distortion, while the $p_z π$ states introduce a sharp resonance state (V$π$) in the band structure. For a planar structure, symmetry strictly forbids hybridization between the $σ$ and the $π$ states, so that these bands are clearly identifiable in the calculated band structure. As for the magnetic moment of the vacancy, the Hund's-rule coupling aligns the spins of the four localized V$σ_1 \uparrow \downarrow$, V$σ_2 \uparrow $, and the V$π\uparrow$ electrons resulting in a S=1 state, with a magnetic moment of $2 μ_B$, which is reduced by about $0.3 μ_B$ due to the anti-ferromagnetic spin-polarization of the $π$ band itinerant states in the vicinity of the vacancy. This results in the net magnetic moment of $1.7 μ_B$. Using the Lippmann-Schwinger equation, we reproduce the well-known $\sim 1/r$ decay of the localized V$π$ wave function with distance and in addition find an interference term coming from the two Dirac points, previously unnoticed in the literature. The long-range nature of the V$π$ wave function is a unique feature of the graphene vacancy and we suggest that this may be one of the reasons for the widely varying relaxed structures and magnetic moments reported from the supercell band calculations in the literature.

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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