arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.01719cond-mat.mes-hall
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Weyl半金属和石墨烯边界模的精确格子模型计算

Exact lattice-model calculation of boundary modes for Weyl semimetals and graphene

Vardan Kaladzhyan, Sarah Pinon, Jens H. Bardarson, Cristina Bena

摘要:

我们提供了一个精确的分析技术,以获得在晶格模型的边缘状态的锯齿形和胡子边石墨烯,以及费米弧表面状态的最小体模型描述的Weyl半金属的波函数。我们将相应的边界模型化为一个无限标量势,分别位于一条直线上和一个平面内。我们使用T矩阵的形式主义,以获得相应的边界模式的色散和空间分布。此外,为了证明我们的方法的力量,我们写下所考虑的Weyl半金属模型的表面格林函数,我们计算准粒子的干涉图案起源于本地化在各自的表面的杂质。

英文摘要:

We provide an exact analytical technique to obtain within a lattice model the wave functions of the edge states in zigzag- and bearded-edge graphene, as well as of the Fermi-arc surface states in Weyl semimetals described by a minimal bulk model. We model the corresponding boundaries as an infinite scalar potential localized on a line, and respectively within a plane. We use the T-matrix formalism to obtain the dispersion and the spatial distribution of the corresponding boundary modes. Furthermore, to demonstrate the power of our approach, we write down the surface Green's function of the considered Weyl semimetal model, and we calculate the quasiparticle interference patterns originating from an impurity localized at the respective surface.

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