Topological states on fractal lattices

S Pai, A Prem - Physical Review B, 2019 - APS
We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral
p-wave paired superconductor, we find that this model supports two qualitatively distinct …

Topology in the Sierpiński-Hofstadter problem

M Brzezińska, AM Cook, T Neupert - Physical Review B, 2018 - APS
Using the Sierpiński carpet and gasket, we investigate whether fractal lattices embedded in
two-dimensional space can support topological phases when subjected to a homogeneous …

Ultrastrong extraordinary transmission and reflection in PT-symmetric Thue-Morse optical waveguide networks

J Wu, X Yang - Optics Express, 2017 - opg.optica.org
In this paper, we construct a 1D PT-symmetric Thue-Morse aperiodic optical waveguide
network (PTSTMAOWN) and mainly investigate the ultrastrong extraordinary transmission …

Energy-level statistics in planar fractal tight-binding models

Q Yao, X Yang, AA Iliasov, MI Katsnelson, S Yuan - Physical Review B, 2023 - APS
In this study, we examine the statistics of level spectra in a noninteracting electron gas
confined to a Sierpiński carpet lattice. These lattices are constructed using two types of the …

Engineering slow light and mode crossover in a fractal-kagome waveguide network

A Nandy, A Chakrabarti - Physical Review A, 2016 - APS
We present an analytically exact scheme of unraveling a multitude of flat, dispersionless
photonic bands in a kagome waveguide strip where each elementary plaquette hosts a …

Sufficient condition for producing photonic band gaps in one-dimensional optical waveguide networks

X Xu, X Yang, S Wang, TC Liu, D Deng - Optics Express, 2015 - opg.optica.org
In this paper, we investigate the influences of the mode, number, and sequence of unit cell
on the production of photonic band gaps (PBGs) in one-dimensional (1D) optical waveguide …

[HTML][HTML] Characteristics of optical system generating ultra-wide photonic band gap and its potential practicability

Y Zhi, W Liu, X Yang, Z Wei, S Du, H Meng, H Liu… - Results in Physics, 2023 - Elsevier
In this study, we design a one-dimensional periodic ring multi-connected optical waveguide
network to solve the problem of obtaining ultra-wide photonic band gaps that are too …

[HTML][HTML] Comb-like optical transmission spectra generated from one-dimensional two-segment-connected two-material waveguide networks optimized by genetic …

Y Wang, X Yang, J Lu, G Zhang, CT Liu - Physics Letters A, 2014 - Elsevier
In this Letter, a one-dimensional (1D) two-segment-connected two-material waveguide
network (TSCTMWN) is designed to produce comb-like frequency passbands, where each …

Ultrawide photonic bandgap and ultrastrong photonic localization produced by series of periodic networks

X Xu, X Yang, D Deng, H Liu, Z Wei - Annalen der Physik, 2021 - Wiley Online Library
A series of periodic networks is designed, in which all of the unit cells construct a series of
fractal triangles, and their extraordinary optical characteristics for producing ultrawide …

Communication wavelength investigation of bound states in the continuum of one-dimensional two-material periodic ring optical waveguide network

Y Zhi, W Liu, X Yang, Z Wei, S Du, H Meng, H Liu… - Optics …, 2022 - opg.optica.org
In this study, a one-dimensional (1D) two-material period ring optical waveguide network
(TMPROWN) was designed, and its optical properties were investigated. The key …