Piao Xianji, Shin Jonghwa, Park Namkyoo
Photonic Systems Laboratory, Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, Korea.
Department of Materials Science and Engineering, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Nanophotonics. 2022 Feb 4;11(6):1211-1217. doi: 10.1515/nanoph-2021-0807. eCollection 2022 Feb.
The intrinsic geometry of wavevector diagrams describes electronic or photonic transport at a given energy level. Lifshitz transition is an intriguing example of the topological transition in wavevector diagrams, which plays a critical role in abnormal transport with enhanced magnetoresistance or superconductivity. Here, we develop the spatial analogy of the Lifshitz transition, which provides a comprehensive topological perspective on transverse-spin interface states. We establish the excitation conditions of transverse-spin interface states, which require the "Lifshitz interface" - the interface between different topologies of wavevector diagrams - along with the gap in wavevector diagrams. Based on the detailed analysis of this topological phenomenon with respect to the dimensionality and gaps of wavevector diagrams across the Lifshitz interface, we show distinct parity of transverse spins and power flows in transverse-spin modes. The unique symmetry of interface states realizing Abraham-spin-momentum locking represents the gauge induced by the Lifshitz interface, which provides a novel insight into the Abraham-Minkowski controversy.
波矢图的本征几何描述了给定能级下的电子或光子输运。里夫希茨转变是波矢图中拓扑转变的一个有趣例子，它在具有增强磁阻或超导性的异常输运中起着关键作用。在此，我们发展了里夫希茨转变的空间类比，这为横向自旋界面态提供了一个全面的拓扑视角。我们建立了横向自旋界面态的激发条件，这需要“里夫希茨界面”——波矢图不同拓扑之间的界面——以及波矢图中的能隙。基于对这种拓扑现象关于跨越里夫希茨界面的波矢图的维度和能隙的详细分析，我们展示了横向自旋模式中横向自旋和能流的不同宇称。实现亚伯拉罕自旋 - 动量锁定的界面态的独特对称性代表了由里夫希茨界面诱导的规范，这为亚伯拉罕 - 闵可夫斯基争议提供了新的见解。
