Abstract We study bulk/edge aspects of continuous honeycomb lattices in a magnetic field. We compute the bulk index of Bloch eigenbundles: it equals 2 or –2, with sign depending on nearby Dirac points and on the magnetic field. We then prove the existence of two topologically protected unidirectional waves propagating along line defects. This shows the bulk/edge correspondence for our class of Hamiltonians.

中文翻译：

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连续蜂窝格子的体边对应关系

摘要我们研究了磁场中连续蜂窝晶格的体积/边缘方面。我们计算布洛赫特征丛的体积指数：它等于 2 或 –2，其符号取决于附近的狄拉克点和磁场。然后我们证明存在两个沿线缺陷传播的受拓扑保护的单向波。这显示了我们类哈密顿量的体/边对应关系。