Abstract
We construct a generalized system by introducing an additional long-range hopping to the well-known Su-Schrieffer-Heeger (SSH) model. This system exhibits richer topological properties including non-trivial topological phases and associated localized edge states. We study the zero-energy edge states in detail and derive the edge-state wave functions using two different methods. Furthermore, we propose a possible setup using octupole moments optically excited on an array of dielectric particles for the realization of the system, and by adjusting the coupling strengths between neighboring particles we can control the hotspots (near-field enhancement) in such structures.
Highlights
One of the most important advances in recent decades in condensed matter physics has been the theoretical prediction [1,2] and experimental confirmation [2] of a new phase of matter called the ”topological insulator”
The extended SSH model with long-range hopping has already been investigated in a general sense [12], some important aspects of such generalization were overlooked
As the edge states are protected by topology and symmetry, the hotspots generated by our system are robust to small perturbations
Summary
One of the most important advances in recent decades in condensed matter physics has been the theoretical prediction [1,2] and experimental confirmation [2] of a new phase of matter called the ”topological insulator”. We study the topological phases and associated edge states of this system in detail Another aspect of special interest in topological insulators are experimental implementations and demonstrations with artificial matter setups. Such demonstrations have been performed by engineering photonic crystals and metamaterials with synthetic magnetic fields and spin-orbit interactions [13,14,15,16], cold atoms and ions [17,18,19], plasmonic systems [20,21,22,23] and superconducting circuits [24,25,26,27,28,29].
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