Photonic topological Lifshitz interfaces

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 su...

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Main Authors: Piao Xianji, Shin Jonghwa, Park Namkyoo
Format: Article
Language:English
Published: De Gruyter 2022-02-01
Series:Nanophotonics
Subjects:
Online Access:https://doi.org/10.1515/nanoph-2021-0807
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author Piao Xianji
Shin Jonghwa
Park Namkyoo
author_facet Piao Xianji
Shin Jonghwa
Park Namkyoo
author_sort Piao Xianji
collection DOAJ
description 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.
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spelling doaj.art-888adf8cbb314c5d849bbc31d7adf0632023-01-19T12:46:59ZengDe GruyterNanophotonics2192-86142022-02-011161211121710.1515/nanoph-2021-0807Photonic topological Lifshitz interfacesPiao Xianji0Shin Jonghwa1Park Namkyoo2Photonic Systems Laboratory, Department of Electrical and Computer Engineering, Seoul National University, Seoul08826, KoreaDepartment of Materials Science and Engineering, Korea Advanced Institute of Science and Technology, Daejeon34141, KoreaPhotonic Systems Laboratory, Department of Electrical and Computer Engineering, Seoul National University, Seoul08826, KoreaThe 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.https://doi.org/10.1515/nanoph-2021-0807abraham–minkowski controversyinterface stateslifshitz transitiontopologytransverse spinwavevector diagram
spellingShingle Piao Xianji
Shin Jonghwa
Park Namkyoo
Photonic topological Lifshitz interfaces
Nanophotonics
abraham–minkowski controversy
interface states
lifshitz transition
topology
transverse spin
wavevector diagram
title Photonic topological Lifshitz interfaces
title_full Photonic topological Lifshitz interfaces
title_fullStr Photonic topological Lifshitz interfaces
title_full_unstemmed Photonic topological Lifshitz interfaces
title_short Photonic topological Lifshitz interfaces
title_sort photonic topological lifshitz interfaces
topic abraham–minkowski controversy
interface states
lifshitz transition
topology
transverse spin
wavevector diagram
url https://doi.org/10.1515/nanoph-2021-0807
work_keys_str_mv AT piaoxianji photonictopologicallifshitzinterfaces
AT shinjonghwa photonictopologicallifshitzinterfaces
AT parknamkyoo photonictopologicallifshitzinterfaces