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arXiv 0907.4350cond-mat.mtrl-sci
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IV族元素和III-V二元化合物的单层蜂窝结构

Monolayer honeycomb structures of group IV elements and III-V binary compounds

Hasan Sahin, S. Cahangirov, M. Topsakal, E. Bekaroglu, E. Aktrk, R. T. Senger, S. Ciraci

摘要:

利用第一性原理平面波方法研究了IV族元素及其二元化合物以及III-V族元素化合物的二维蜂窝结构。基于结构优化和声子模式计算,我们确定22种不同的蜂窝材料是稳定的,并对应于Born-Oppenheimer表面上的局部极小值。我们还发现,所有含有第一行元素B、C或N之一的二元化合物都具有平面稳定结构。另一方面,在Si、Ge和其他二元化合物的蜂窝结构中,六边形的交替原子是屈曲的,因为稳定性是通过屈曲来维持的。对于那些稳定的蜂窝材料,我们计算了优化的结构,结合能,声子模式,电子能带结构,有效的阳离子和阴离子电荷,和一些弹性常数。用GW 0方法对密度泛函理论中局域密度近似计算的禁带进行了修正。蜂窝结构中的Si和Ge是半金属,并且在费米能级处具有线性带交叉,这将无质量费米特性归因于载流子,如石墨烯中那样。然而,所有的二元化合物被发现是半导体与带隙取决于组成原子。提出了一种由应变能揭示二维蜂窝结构弹性常数的方法,并计算了泊松比和面内刚度值。初步结果表明,近晶格匹配的异质结构…

英文摘要:

Using first-principles plane wave calculations, we investigate two dimensional honeycomb structure of Group IV elements and their binary compounds, as well as the compounds of Group III-V elements. Based on structure optimization and phonon mode calculations, we determine that 22 different honeycomb materials are stable and correspond to local minima on the Born-Oppenheimer surface. We also find that all the binary compounds containing one of the first row elements, B, C or N have planar stable structures. On the other hand, in the honeycomb structures of Si, Ge and other binary compounds the alternating atoms of hexagons are buckled, since the stability is maintained by puckering. For those honeycomb materials which were found stable, we calculated optimized structures, cohesive energies, phonon modes, electronic band structures, effective cation and anion charges, and some elastic constants. The band gaps calculated within Density Functional Theory using Local Density Approximation are corrected by GW0 method. Si and Ge in honeycomb structure are semimetal and have linear band crossing at the Fermi level which attributes massless Fermion character to charge carriers as in graphene. However, all binary compounds are found to be semiconductor with band gaps depending on the constituent atoms. We present a method to reveal elastic constants of 2D honeycomb structures from the strain energy and calculate the Poisson's ratio as well as in-plane stiffness values. Preliminary results show that the nearly lattice matched heterostructures of ...

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