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arXiv 2009.07033physics.opticscond-mat.mes-hall
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拓扑光子相位的Berry带和赝自旋

Berry bands and pseudo-spin of topological photonic phases

Samuel J. Palmer, Vincenzo Giannini

摘要:

实现电子拓扑绝缘体的稳健、单向边缘状态的光子模拟将改善我们在纳米尺度上对光的控制,并彻底改变光子器件的性能。在这里,我们表明,新的对称性保护的拓扑相位可以检测到的能量特征值问题的贝里曲率特征值问题。“Berry带”跨越与原始价带相同的本征空间,但在$\mathrm{C}_2\mathcal{T}$对称晶体中分离成伪自旋和伪无自旋子空间。我们证明了著名的情况下,吴和胡[物理学评论快报。114,223901(2015)]和最近发现的脆弱拓扑晶体,并表明两种晶体属于相同的$\mathrm{C}_2\mathcal{T}$ -保护的$\mathbb{Z}_2$拓扑相。这项工作有助于统一理论和数值,并在定义和识别新的光子学和电子学的安全保护阶段是有用的。

英文摘要:

Realising photonic analogues of the robust, unidirectional edge states of electronic topological insulators would improve our control of light on the nanoscale and revolutionise the performance of photonic devices. Here we show that new symmetry protected topological phases can be detected by reformulating energy eigenproblems as Berry curvature eigenproblems. The "Berry bands" span the same eigenspace as the original valence energy bands, but separate into pseudo-spinful and pseudo-spinless subspaces in $\mathrm{C}_2\mathcal{T}$-symmetric crystals. We demonstrate the method on the well-known case of Wu & Hu [Phys. Rev. Lett. 114, 223901 (2015)] and a recently discovered fragilely topological crystal, and show that both crystals belong to the same $\mathrm{C}_2\mathcal{T}$-protected $\mathbb{Z}_2$ topological phase. This work helps unite theory and numerics, and is useful in defining and identifying new symmetry-protected phases in photonics and electronics.

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。

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