Institut Pascal, PHOTON-N2, Clermont Université, Blaise Pascal University, CNRS, 24 avenue des Landais, 63177 Aubière Cedex, France.
Phys Rev Lett. 2015 Jan 16;114(2):026803. doi: 10.1103/PhysRevLett.114.026803.
We study the spin-orbit coupling induced by the splitting between TE and TM optical modes in a photonic honeycomb lattice. Using a tight-binding approach, we calculate analytically the band structure. Close to the Dirac point, we derive an effective Hamiltonian. We find that the local reduced symmetry (D_{3h}) transforms the TE-TM effective magnetic field into an emergent field with a Dresselhaus symmetry. As a result, particles become massive, but no gap opens. The emergent field symmetry is revealed by the optical spin Hall effect.
我们研究了在光子蜂窝晶格中 TE 和 TM 光学模式之间的分裂引起的自旋轨道耦合。使用紧束缚方法，我们进行了分析计算，得到了能带结构。在狄拉克点附近，我们推导出了一个有效的哈密顿量。我们发现，局部约化对称性（D_{3h}）将 TE-TM 有效磁场转化为具有 Dresselhaus 对称性的涌现磁场。结果，粒子变得有质量，但没有能隙打开。光学自旋霍尔效应揭示了涌现磁场的对称性。
