复合多涡无衍射光束与蜂窝晶格中的van Hove奇点
Composite multi-vortex diffraction-free beams and van Hove singularities in honeycomb lattices
摘要：
我们发现石墨烯和MoS $_2$型蜂窝光晶格的无衍射光束。由此产生的复合解决方案具有多涡的形式，与旋量拓扑电荷（$n$，$n\pm1$）。旋量分量的精确解在狄拉克极限下得到。分析了谷自由度和质量的影响。通过van-Hove奇异性，对解的拓扑结构进行了修正。在奇点处，无衍射光束呈现出强局域化的一维条纹。
英文摘要：
We find diffraction-free beams for graphene and MoS$_2$-type honeycomb optical lattices. The resulting composite solutions have the form of multi-vortices, with spinor topological charges ($n$, $n\pm1$). Exact solutions for the spinor components are obtained in the Dirac limit. The effects of the valley degree of freedom and the mass are analyzed. Passing through the van-Hove singularity the topological structure of the solutions is modified. Exactly at the singularity the diffraction-free beams take the form of strongly localized one-dimensional stripes.
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