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One-way edge states at the surface of photonic topological insulators are of significant interest for communications, nonlinear and quantum optics. Moreover, when reciprocity is broken in a photonic topological insulator, these states…

Optics · Physics 2018-10-17 Momchil Minkov , Shanhui Fan

Valleytronics has emerged as a promising paradigm, enabling comprehensive control of the valley degree of freedom (DoF) for energy-efficient and high-speed information processing. However, backscattering-induced valley depolarization…

Time-dependent perturbations can drive a trivial two-dimensional band insulator into a quantum Hall-like phase, with protected nonequilibrium states bound to its edges. We propose an experiment to probe the existence of these topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Benjamin M. Fregoso , Jan P. Dahlhaus , Joel E. Moore

Valley degrees of freedom, providing a novel way to increase capacity and efficiency of information processing, have become an important instrument for photonics. Experimental studies on photonic topological valley kink states at interfaces…

Two-dimensional (2D) organic-inorganic hybrid perovskites have been intensively explored for recent years, due to their tunable band gaps and exciton binding energies, and increased stability with respect to three-dimensional (3D) hybrid…

Materials Science · Physics 2020-11-20 Jisook Hong , David Prendergast , Liang Z. Tan

Edge states are time-harmonic solutions of conservative wave systems which are plane wave-like parallel to and localized transverse to an interface between two bulk media. We study a class of 2D edge Hamiltonians modeling a medium which…

Mathematical Physics · Physics 2025-08-14 Jonah Chaban , Jeremy L. Marzuola , Michael I. Weinstein

The concept of edge state is investigated in the asymptotic suction boundary layer in relation with the receptivity process to noisy perturbations and the nucleation of turbulent spots. Edge tracking is first performed numerically, without…

We introduce and experimentally demonstrate a class of surface bound states with algebraic decay in a one-dimensional tight-binding lattice. Such states have an energy embedded in the spectrum of scattered states and are structurally stable…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 G. Corrielli , G. Della Valle , A. Crespi , R. Osellame , S. Longhi

We investigate the emergence of topological valley Hall and kink states in a two-dimensional topolectrical (TE) model as a result of broken chiral and reflection symmetries. The TE system consists of two segments hosting distinct…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

In this paper, the photonic quantum spin Hall effect (PQSHE) is realized in dielectric two-dimensional (2D) honeycomb lattice photonic crystal (PC) by stretching and shrinking the honeycomb unit cell. Combining two honeycomb lattice PCs…

Optics · Physics 2021-02-26 Yuchen Peng , Bei Yan , Jianlan Xie , Exian Liu , Hang Li , Rui Ge , Feng Gao , Jianjun Liu

We study a class of periodic Schr\"odinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic…

Mathematical Physics · Physics 2015-04-09 Charles L. Fefferman , James P. Lee-Thorp , Michael I. Weinstein

The magneto-optical longitudinal, transverse Hall and circularly-polarized response of silicene and other materials described by a Kane-Mele Hamiltonian are calculated. Particular attention is paid to the effects of an external electric…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Calvin J. Tabert , Elisabeth J. Nicol

Topological interface states are currently attracting rapidly growing attention in classical wave systems. However, little work has been done on topological interface states in one-dimensional (1D) elastic wave systems, especially in the…

Applied Physics · Physics 2024-09-20 Pan Li , Wenping Hu , Pai Peng , Xuefeng Zhu , Degang Zhao

We demonstrate that HOTIs with the quantization of the quadrupole moments can be realized in the two-dimensional elastic phononic crystals (PnCs). Both one-dimensional (1D) topological edge states and zero-dimensional (0D) topological…

Applied Physics · Physics 2019-09-12 Zhen Wang , Qi Wei , Heng-Yi Xu , Da-Jian Wu

We present an experimental study of low temperature electronic transport in the hybridization gap of inverted InAs/GaSb composite quantum wells. Electrostatic gate is used to push the Fermi level into the gap regime, where the conductance…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ivan Knez , Rui-Rui Du , Gerard Sullivan

We investigate the possibility of a striped inhomoegenous phase occurring as an electronic system with an order parameter linearly coupled to the elastic degrees of freedom is tuned through the electronic phase transition. We find that in…

Strongly Correlated Electrons · Physics 2023-03-23 Giuliano Chiriacò , Andrew J. Millis

We address edge states and rich localization regimes available in the one-dimensional (1D) dynamically modulated superlattices, both theoretically and numerically. In contrast to conventional lattices with straight waveguides, the…

Continuum grid-like frames composed of rigidly jointed beams are classic subjects in the field of structural mechanics, whose topological dynamical properties have only recently been revealed. For two-dimensional frames, higher-order…

Materials Science · Physics 2026-05-05 Yimeng Sun , Jiacheng Xing , Li-Hua Shao , Jianxiang Wang

Topological dislocations in otherwise periodic lattices represent global structural defects that, nevertheless, typically leave the lattice periodicity intact far from the dislocation. Such dislocations arise in diverse physical systems…

We experimentally demonstrate topological slow light waveguides in valley photonic crystals (VPhCs). We employed a bearded interface formed between two topologically-distinct VPhCs patterned in an air-bridged silicon slab. The interface…