arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.06639cond-mat.mtrl-sciphysics.optics
收藏

动量空间中的节线:拓扑不变量和光子及其它系统中的最新实现

Nodal lines in momentum space: topological invariants and recent realizations in photonic and other systems

Haedong Park, Wenlong Gao, Xiao Zhang, Sang Soon Oh

摘要:

拓扑绝缘体是现代凝聚态理论中最有趣的现象之一。物质拓扑状态的独特和奇异性质允许单向无间隙电子输运和霍尔电导率的极其精确的测量。最近,新的拓扑效应发生在狄拉克/外尔点已经得到了更好的理解和证明,使用人工材料,如光子和声子晶体,超材料和电路。相比之下,节线的拓扑性质,这是一维退化的动量空间,仍然很少探索。在这里,我们解释的拓扑节点线的理论概念,并审查最近和正在进行的进展,使用人工材料。综述包括最近在动量空间中节线的非阿贝尔拓扑荷的演示以及在光子和其他系统中实现的节线的例子。最后,我们将解决涉及的挑战,在实验演示和理论理解的拓扑节点线。

英文摘要:

Topological insulators constitute one of the most intriguing phenomena in modern condensed matter theory. The unique and exotic properties of topological states of matter allow for unidirectional gapless electron transport and extremely accurate measurements of the Hall conductivity. Recently, new topological effects occurring at Dirac/Weyl points have been better understood and demonstrated using artificial materials such as photonic and phononic crystals, metamaterials and electrical circuits. In comparison, the topological properties of nodal lines, which are one-dimensional degeneracies in momentum space, remain less explored. Here, we explain the theoretical concept of topological nodal lines and review recent and ongoing progress using artificial materials. The review includes recent demonstrations of non-Abelian topological charges of nodal lines in momentum space and examples of nodal lines realized in photonic and other systems. Finally, we will address the challenges involved in both experimental demonstration and theoretical understanding of topological nodal lines.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑