利用紧束缚近似法计算无边界石墨烯的电子能级

Calculate Electronic Energy Spectrum of Graphene Without Boundary by Tight-Binding Approximation Method

石墨烯是近年发现的二维碳原子晶体,它是目前凝聚态物理领域的研究热点之一.石墨烯是构筑各种碳质材料的基本结构单元,具有很多奇特的物理性质.本文简要介绍了石墨烯的发现历史和分子结构,并着重利用紧束缚近似法计算了无边界石墨烯的能谱结构.通过对其结果的分析,在理论上解释了石墨烯呈现金属性的原因.

Graphene is a newly found two dimensional atomic crystal, currently it has become one of the hotspets in the research of condensed matter physics. Graphene is the basic unit to build all kinds of carbonic materials and it has many unusual physical properties. This thesis first briefly introduced the discovery and the atomic structure of graphene, then emphatically used the tight bind approach to calculate the energy spectrum of none boundary graphene, and analyzed the results of the calculation, hence explained the reason why graphene manifest the metallic properties.