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Influence of asymmetric long-range interactions on corner states in photonic higher-order topological insulators

José A. Medina-Vázquez*

  • Centro de Investigación en Materiales Avanzados S.C, Complejo Industrial Chihuahua, Miguel de Cervantes 120, C.P. 31136, Chihuahua, México

  • *jose.medina@cimav.edu.mx
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Phys. Rev. A 107, 043503 – Published 12 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.043503

Abstract

The introduction of long-range interaction (LRI) in models that describe topological systems has unveiled previously unknown topological phases and states. Recently, in higher-order topological insulators, consideration of LRI via next-nearest-neighbor (NNN) hopping led to the discovery of unconventional confined corner states; however, their study is still limited in photonic prospects. In this paper, we bring the concept of type-III corner states into the photonic regime and reveal that their existence depends on LRI in photonic lattices, mimicking an extended two-dimensional Su-Schrieffer-Heeger (SSH) model with an asymmetric coupling. The extension of the SSH model is performed by considering a variety of NNN hopping in square lattices, and an asymmetry coupling in the intercellular NNN hopping terms of the Hamiltonian describing the system. Subsequently, we identify type-I, type-II, and type-III corner states in the analytical tight-binding model, revealing that the type-II and type-III corner states are split from the edge states. Based on the obtained results, we propose a photonic model that mimics the asymmetric coupling and find the existence of type-II and type-III corner states in the photonic model. The results presented here extend the knowledge we have about topological corner states in photonic systems and highlight the role played by LRIs in the generation of topological confined modes.

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Outline

Information

Phys. Rev. A 107, 043503– Published 12 April, 2023
  • Received 6 January 2023
  • Accepted 3 April 2023
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