Electronic structure of graphene beyond the linear dispersion regime

S. R. Power; M. S. Ferreira

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Electronic structure of graphene beyond the linear dispersion regime

机译：石墨烯的电子结构超出线性色散范围

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Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear dispersion relation of electrons in a narrow range around the Fermi level. Unfortunately, the mathematical simplicity of graphene electrons is limited only to this narrow energy region and is not very practical when dealing with problems that involve energies outside the linear dispersion part of the spectrum. In this communication we remedy this limitation by deriving a set of closed-form analytical expressions for the real-space single-electron Green function of graphene which is valid across a large fraction of the energy spectrum. By extending to a wider energy range the simplicity with which graphene electrons are described, it is now possible to derive more mathematically transparent and insightful expressions for a number of physical properties that involve higher energy scales. The power of this new formalism is illustrated in the case of the magnetic (RKKY) interaction in graphene.

机译：在石墨烯显示的许多有趣特征中，最吸引人的特征之一就是可以简单地描述其电子结构。通过在费米能级附近的窄范围内的线性分布关系，大大简化了其物理性质的研究。不幸的是，石墨烯电子的数学简单性仅限于该狭窄的能量区域，并且在处理涉及光谱的线性色散部分之外的能量的问题时不是很实用。在此交流中，我们通过为石墨烯的实空间单电子格林函数导出一组闭合形式的解析表达式来弥补这一局限，该表达式在很大一部分能谱上都是有效的。通过将更广泛的能量范围扩展到描述石墨烯电子的简单性，现在有可能针对涉及较高能级的许多物理性质，得出更数学上透明和有见地的表达式。在石墨烯中的磁性（RKKY）相互作用的情况下，说明了这种新形式主义的力量。

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《Physical review》 |2011年第15期|p.155432.1-155432.7|共7页
作者
S. R. Power; M. S. Ferreira;
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School of Physics, Trinity College Dublin, Dublin 2, Ireland;

School of Physics, Trinity College Dublin, Dublin 2, Ireland;

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7. Electronic structure of graphene beyond the linear dispersion regime [O] . Power, S. R., Ferreira, M. S. 2012

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Electronic structure of graphene beyond the linear dispersion regime

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