Abstract

Topological phases of matter with robust edge states have revolutionized the fundamental intuitions for wave control. The recent development of higher-order topological insulators (HOTIs) realizes even lower dimensional topological states that enable versatile wave manipulations (e.g., light imaging). However, in conventional HOTIs, the topological states are usually protected by certain crystalline symmetries and therefore bounded at specific locations, hindering their applications in modern digital ears, which often prefer tunability and reconfigurability. Here, we report the reconfigurable light imaging based on topological corner states and anti-chiral edge states in a two-dimensional (2D) photonic HOTI with a honeycomb lattice of yttrium iron garnet (YIG, a ferrite material) rods. Sublattices A and B are applied with magnetic fields in opposite directions, which realize the so-called modified Haldane model that hosts anti-chiral edge modes. By further breaking the lattice’s inversion symmetry via adjusting the radii of A and B rods, topological edge states with valley degrees of freedom emerge, which not only exhibit valley-dependence but also surprisingly show anti-chiral behaviors. In the valley edge gap, which is of nontrivial higher-order topology, corner states appear. With different combinations of corner states and anti-chiral edge states, versatile reconfigurable light imaging can be realized. As examples, a multiplexing waveguide-resonator device, a pine tree imaging that can be lit up or put out at will and selective imaging for partial objects in a two-heart pattern are demonstrated. The proposed HOTI shows high potential in future intelligent devices with exciting tunable and reconfigurable functions, which may inspire a wide range of applications such as topological switching, imaging processing, and nonreciprocal integrated photonics.

Highlights

  • In recent decades, topology in physics has drawn great attention and stimulated large research enthusiasm in both the scientific and technological communities [1–5] due to the topologically robust edge states for backscattering-immune channeling of electrons.In particular, chiral edge modes represent a type of edge state in systems with broken time reversal symmetry [6–8]

  • The higher-order topological insulators (HOTIs)-enabled functionalities often highly depend on the lattice geometries due to the fact that nontrivial higher-order topology is usually protected by the crystalline symmetries, which vary from lattice to lattice

  • We report the reconfigurable light imaging based on topological corner states, incorporating anti-chiral edge states, in a 2D photonic crystal (PC) of the modified

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Summary

Introduction

Topology in physics has drawn great attention and stimulated large research enthusiasm in both the scientific and technological communities [1–5] due to the topologically robust edge states for backscattering-immune channeling of electrons. A new type of edge state, known as the anti-chiral edge state, has been put forward, which can propagate in the same direction on opposite edges [13] This interesting phenomenon was originally proposed in a so-called modified Haldane model and soon spread across many physical systems, for example, an exciton-polariton honeycomb lattice with strip geometry [14], a Heisenberg ferromagnet on the honeycomb. Using the HOTIs and their lower-dimensional boundary states, various wave control methods are proposed, for example, multi-dimensional topological switching [5], valley-selective corner sates [32–35], topological sub-wavelength imaging [36–38], and even controllable emergence of corner states enabled by non-linearity [39], voltage [40], or temperature [41] Despite these celebrated advances, the HOTI-enabled functionalities often highly depend on the lattice geometries due to the fact that nontrivial higher-order topology is usually protected by the crystalline symmetries, which vary from lattice to lattice.

Materials
Numerical Simulations
Topological Properties of the Proposed HOTI
Reconfigurable Light Imaging
Findings
Conclusions
Full Text
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