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Topologically protected edge states have been extensively studied in systems characterized by the topological invariants in band gaps (also called line gaps). In this study, we unveil a whole new form of edge states that transcends the…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Hongwei Jia , Jing Hu , Ruo-Yang Zhang , Yixin Xiao , Dongyang Wang , Mudi Wang , Shaojie Ma , Xiaoping Ouyang , Yifei Zhu , C. T. Chan

To date, almost all of the discussions on topological insulators (TIs) have focused on two- and three-dimensional systems. One-dimensional (1D) TIs manifested in real materials, in which localized spin states may exist at the end or near…

Mesoscale and Nanoscale Physics · Physics 2018-10-18 Kuan-Sen Lin , Mei-Yin Chou

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

We investigate the topological properties of Fibonacci quasicrystals using cavity polaritons. Composite structures made of the concatenation of two Fibonacci sequences allow investigating generalized edge states forming in the gaps of the…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 F. Baboux , E. Levy , A. Lemaître , C. Gomez , E. Galopin , L. Le Gratiet , I. Sagnes , A. Amo , J. Bloch , E. Akkermans

One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather…

Optics · Physics 2020-12-15 Stefano Longhi

The topology of an object describes global properties that are insensitive to local perturbations. Classic examples include string knots and the genus (number of handles) of a surface: no manipulation of a closed string short of cutting it…

Quantum Gases · Physics 2019-01-15 Nathan Schine , Michelle Chalupnik , Tankut Can , Andrey Gromov , Jonathan Simon

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

Mathematical Physics · Physics 2021-01-19 Guillaume Bal , Daniel Massatt

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

We show that topological waves at the interface between two magnetic domains in a graphene device are possible. First, we consider the case of a linear relation between the applied gate voltage and local density in the channel and,…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 A. Ciobanu , P. Cosme , H. Terças

We study the band structure of phases induced by depositing bilayer graphene on a transition metal dichalcogenide monolayer. Tight-binding and low-energy effective Hamiltonian calculations show that it is possible to induce topologically…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

Systems that can be described with the same mathematical models that account for the properties of electrons in graphene are known as graphene-like systems. These include magnons, photons, polaritons, acoustic waves, and electrons in…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 J. L. Lado , J. Fernández-Rossier

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

Polaritonic lattice configurations in dimensions $D=2$ are used as simulators of topological phases, based on symmetry class A Hamiltonians. Numerical and topological studies are performed in order to characterise the bulk topology of…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Konstantin Rips

This paper concerns the topological classification of continuous Hamiltonians that find applications in biased cold plasmas and photonics. Besides a magnetic bias, the Hamiltonians are parametrized by a plasma frequency and a fixed vertical…

Mathematical Physics · Physics 2026-04-20 Matthew Frazier , Guillaume Bal

The discovery of the quantised Hall effect, and its subsequent topological explanation, demonstrated the important role topology can play in determining the properties of quantum systems. This realisation led to the development of…

We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other along a one-dimensional curve in the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Chen Fang , Hongming Weng , Xi Dai , Zhong Fang

When two topologically trivial and nontrivial systems are brought together, a localized energy state is formed at the interface. For crystalline quantum and classical systems, their topology can be determined by studying the eigenmode…

Optics · Physics 2026-05-11 T. H. Chan , Y. H. Guan , C. Liu , H. C. Ong

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult