Photonic topological Lifshitz interfaces

Xianji Piao, Jonghwa Shin, Namkyoo Park

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)1211-1217
Number of pages7
Issue number6
StatePublished - 2 Feb 2022


  • Abraham-Minkowski controversy
  • Lifshitz transition
  • interface states
  • topology
  • transverse spin
  • wavevector diagram


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