Surface Luttinger arcs in Weyl semimetals
Surface Luttinger arcs in Weyl semimetals
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DOI：
10.1103/physrevb.106.l081112
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发表时间：
2021-08
影响因子：
3.7
通讯作者：
Osakpolor Eki Obakpolor;P. Hosur
中科院分区：
文献类型：
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作者：
Osakpolor Eki Obakpolor;P. Hosur
众所周知，外尔半金属的表面含有一种奇特的拓扑金属，其中包含开放的费米弧而不是封闭的费米表面。在这项工作中，我们表明该表面还具有通常与强相互作用系统相关的特征，即路廷格弧，定义为电子格林函数的零点。当Weyl节点未掺杂时，Luttinger弧连接相反手性的Weyl节点的表面投影，并与费米弧形成闭环。掺杂后，费米弧和路廷格弧的末端分开，中间区域被体费米表面的表面投影填充。值得注意的是，与强相互作用系统中的拉廷格轮廓不同，拉廷格弧的精确形状可以通过去除表面层来通过实验确定。我们利用这一原理绘制了 Co 3 Sn 2 S 2 中 Co 和 Sn 终端的 Luttinger 弧。费米和路廷格弧围成的面积大约等于弱耦合系统中的表面粒子密度，而校正则由层间耦合和费米-路廷格环的周长控制。
The surface of a Weyl semimetal famously hosts an exotic topological metal that contains open Fermi arcs rather than closed Fermi surfaces. In this work, we show that the surface is also endowed with a feature normally associated with strongly interacting systems, namely, Luttinger arcs, defined as zeros of the electron Green’s function. The Luttinger arcs connect surface projections of Weyl nodes of opposite chirality and form closed loops with the Fermi arcs when the Weyl nodes are undoped. Upon doping, the ends of the Fermi and Luttinger arcs separate and the intervening regions get filled by surface projections of bulk Fermi surfaces. Remarkably, unlike Luttinger contours in strongly interacting systems, the precise shape of the Luttinger arcs can be determined experimentally by removing a surface layer. We use this principle to sketch the Luttinger arcs for Co and Sn terminations in Co 3 Sn 2 S 2 . The area enclosed by the Fermi and Luttinger arcs approximately equals the surface particle density in weakly coupled systems while the correction is governed by the interlayer couplings and the perimeter of the Fermi-Luttinger loop.