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The manipulation of acoustic wave propagation in fluids has numerous applications, including some in everyday life. Acoustic technologies frequently develop in tandem with optics, using shared concepts such as waveguiding and metamedia. It…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Zhaoju Yang , Fei Gao , Xihang Shi , Xiao Lin , Zhen Gao , Yidong Chong , Baile Zhang

Discovery of novel topological orders of condensed matters is of a significant interest in both fundamental and applied physics due to the associated quantum conductance behaviors and unique symmetry-protected backscattering-immune…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Cheng He , Xu Ni , Hao Ge , Xiao-Chen Sun , Yan-Bin Chen , Ming-Hui Lu , Xiao-Ping Liu , Liang Feng , Yan-Feng Chen

We develop a unified perspective of unidirectional topological edge waves in non-reciprocal media. We focus on the inherent role of photonic spin in non-reciprocal gyroelectric media, ie. magnetized metals or magnetized insulators. We first…

Optics · Physics 2019-06-25 Todd Van Mechelen , Zubin Jacob

In this work, we investigate the dynamic behavior and the topological properties of quasiperiodic elastic metasurfaces, namely arrays of mechanical oscillators arranged over the free surface of an elastic half-space according to a…

Applied Physics · Physics 2022-07-05 Xingbo Pu , Antonio Palermo , Alessandro Marzani

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

It is now well-established that photonic systems can exhibit topological energy bands; similar to their electronic counterparts, this leads to the formation of chiral edge modes which can be used to transmit light in a manner that is…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Vittorio Peano , Martin Houde , Florian Marquardt , Aashish A. Clerk

Topologically nontrivial band structure of a material may give rise to special states that are confined to the material's boundary and protected against disorder and scattering. Quantum spin Hall effect (QSHE) is a paradigmatic example of…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Luis Alberto Razo López , Pierre Wulles , Geoffroy J. Aubry , Sergey E. Skipetrov , Fabrice Mortessagne

The hallmark of a time-reversal symmetry protected topologically insulating state of matter in two-dimensions (2D) is the existence of chiral edge modes propagating along the perimeter of the system. To date, evidence for such electronic…

Mesoscale and Nanoscale Physics · Physics 2014-09-22 Ilya K. Drozdov , A. Alexandradinata , Sangjun Jeon , Stevan Nadj-Perge , Huiwen Ji , R. J. Cava , B. A. Bernevig , Ali Yazdani

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Topological edge states manifest spin-momentum-locking propagation as a primary consequence of topological crystals. However, experimental studies on spin manipulation and the resulting propagation of these states are lacking. Here, we…

The spin 1 bilinear-biquadratic model on square lattice in the region $0<\phi<\pi/4$ is studied in a fermion representation with a p-wave pairing BCS type mean-field theory. Our results show there may exist a non-trivial gapped spin liquid…

Strongly Correlated Electrons · Physics 2015-06-12 Peng Li , Su-Peng Kou

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

We demonstrate that a bianisotropic response associated with a broken mirror symmetry of a dielectric resonator allows opening a band gap in simple square lattice arrays of such resonators. Realizing the proposed system as an array of…

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we study the phenomenon of topologically protected edge states…

Analysis of PDEs · Mathematics 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

A two-dimensional periodically driven (Floquet) system with zero winding number in the absence of time-reversal symmetry is usually considered topologically trivial. Here, we study the dynamics of a Gaussian wave packet placed at the…

Quantum Gases · Physics 2025-05-06 Xin-Xin Yang , Kai-Ye Shi , F. Nur Ünal , Wei Zhang

We report on the experimental observation of topologically protected edge waves in a two-dimensional elastic hexagonal lattice. The lattice is designed to feature K point Dirac cones that are well separated from the other numerous elastic…

Materials Science · Physics 2017-10-25 Javier Vila , Raj K. Pal , Massimo Ruzzene

Spin waves are promising chargeless information carriers for the future, energetically efficient beyond-CMOS systems. Among many advantages there are the ease of achieving nonlinearity, the variety of possible interactions, and excitation…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Pawel Gruszecki , Konstantin Y. Guslienko , Igor L. Lyubchanskii , Maciej Krawczyk

Recently, non-reciprocal two-dimensional unitary scattering networks have gained considerable interest due to the possibility of obtaining robust edge wave propagation in the anomalous Floquet phase. Conversely, zero-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 Haoye Qin , Zhe Zhang , Qiaolu Chen , Romain Fleury

We report localized and unidirectional nonlinear traveling edge waves discovered theoretically and numerically in a 2D mechanical (phononic) topological insulator. The lattice consists of a collection of pendula with weak Duffing…

Pattern Formation and Solitons · Physics 2018-05-09 David D. J. M. Snee , Yi-Ping Ma

Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant,…

Strongly Correlated Electrons · Physics 2026-01-12 Stefan Birnkammer , Michael Knap , Johannes Knolle , Alexander Mook , Alvise Bastianello
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