Homological bulk-edge correspondence for Weyl semimetal
Homological bulk-edge correspondence for Weyl semimetal
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DOI：
10.1093/ptep/ptab035
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发表时间：
2020-12
影响因子：
3.5
通讯作者：
Kiyonori Gomi
中科院分区：
文献类型：
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作者：
Kiyonori Gomi
对于三维Weyl半金属的平移不变紧束缚模型，基于Mathai和Thiang的思想，我们建立了体-边对应作为两个相对同调类的等式：从边哈密顿量的谱信息，我们构造了表面动量空间上的相对同调类.这类同意下的图像的表面投影的同调类的体积动量空间相对于外尔点，从散装哈密顿构造。此外，表面动量空间上的相对同调类可以用同调圈来表示，同调圈的像构成费米弧，即边哈密顿量允许零谱的轨迹。
For a certain translation invariant tight-binding model of three-dimensional Weyl semimetals, we establish a bulk-edge correspondence as an equality of two relative homology classes, based on an idea of Mathai and Thiang: From spectral information on the edge Hamiltonian, we construct a relative homology class on the surface momentum space. This class agrees with the image under the surface projection of a homology class on the bulk momentum space relative to the Weyl points, constructed from the bulk Hamiltonian. Furthermore, the relative homology class on the surface momentum space can be represented by homology cycles whose images constitute the Fermi arc, the locus where the edge Hamiltonian admits zero spectrum.