Topological edge states of distorted photonic Kagome lattices

Xiang Ni; Andrea Alu; Alexander B. Khanikaev

doi:10.1117/12.2273938

24 August 2017 Topological edge states of distorted photonic Kagome lattices

Xiang Ni, Andrea Alu, Alexander B. Khanikaev

Proceedings Volume 10345, Active Photonic Platforms IX; 103451N (2017) https://doi.org/10.1117/12.2273938
Event: SPIE Nanoscience + Engineering, 2017, San Diego, California, United States

Abstract

We demonstrate that the distorted Kagome lattice formed by two-dimensional(2d) array of dielectric rods embedded in air exhibits a new class of topological states characterized by a topological invariant number in Pauli vector space. The Kagome lattice can be considered as a 2d analogue of the Su-Schrieffer–Heeger (SSH) model, which displays a phase transition by detuning the relative amplitudes of the inter-cell and intra-cell hopping terms. The phase transition is accompanied by the opening of a complete band gap in the Brillouin zone, which may host topological edge states on either the truncated end of the lattice or at the domain walls between topological nontrivial and trivial domains. To further reveal the connection between the bulk invariance and edge states, polarizations of shrunken and expanded effects are calculated. Our first-principles simulations based on finite element method (FEM) are used to design the lattice and confirm the analytic prediction.

Conference Presentation

Citation Download Citation

Xiang Ni, Andrea Alu, and Alexander B. Khanikaev "Topological edge states of distorted photonic Kagome lattices", Proc. SPIE 10345, Active Photonic Platforms IX, 103451N (24 August 2017); https://doi.org/10.1117/12.2273938

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available