论文标题
手性对称性的拓扑分类：石墨烯纳米纤维中的手性相指数和自旋相关性
Topology Classification from Chiral Symmetry: Chiral Phase Index and Spin Correlations in Graphene Nanoribbons
论文作者
论文摘要
拓扑概念已经显着加深了我们近年来对一维（1D）纳米结构（例如石墨烯纳米骨）的电子性质的理解。在理论研究和实验实现中都证明了GNR的拓扑电子特性。大多数以前的作品都依赖于分类理论，需要在1D散装材料中的单位单元格的时间逆转和空间对称性，这些材料与其边界相称。为了访问没有空间对称性并概括理论的晶胞的边界结构，我们在这里提出了使用手性对称性的另一种分类方案，以达到z分类，该方案不仅适用于具有任意终止的GNR，而且适用于任何一般的1D手势结构。此理论与Lieb定理相结合，还可以访问电子自旋度自由度，从而可以研究旋转物理学。
Topology concepts have significantly deepened of our understanding in recent years of the electronic properties of one-dimensional (1D) nano structures such as the graphene nanoribbons. Controlling topological electronic properties of GNRs has been demonstrated in both theoretical studies and experimental realization. Most previous works rely on classification theory requiring both time reversal and spatial symmetry of a unit cell in the 1D bulk material that is commensurate to its boundary. To access boundary structures that lead to unit cell with no spatial symmetry and to generalize the theory, we propose here another classification scheme, using chiral symmetry, to arrive at a Z classification that is not only applicable to GNRs with arbitrary terminations, but also to any general 1D chiral structures. This theory, combining with Lieb's theorem, moreover enables access to the electron's spin degree of freedom, allowing for investigation of spin physics.
