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One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit…

Quantum Physics · Physics 2026-03-19 Sofía Pinto , P. A. Orellana , Sergio Bravo

Here, we reveal our recent progress on a geometrical approach of quantum physics and topological crystals linking with Dirac magnetic monopoles and gauge fields through classical electrodynamics. The Bloch sphere of a quantum spin-1/2…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Karyn Le Hur

It is well known that an interface created by two topologically distinct structures could host nontrivial edge states that are immune to defects. In this letter, we introduce a one-dimensional space-time phononic crystal and study the…

Classical Physics · Physics 2020-01-20 Mourad Oudich , Yuanchen Deng , Molei Tao , Yun Jing

We report on the design and experimental validation of a two-dimensional phononic elastic waveguide exhibiting topological Valley-Hall edge states. The lattice structure of the waveguide is inspired by the diatomic graphene and it is…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Hongfei Zhu , Ting-Wei Liu , Fabio Semperlotti

The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in…

Mesoscale and Nanoscale Physics · Physics 2023-06-30 Nicolas Laforge , Vincent Laude , Franck Chollet , Abdelkrim Khelif , Muamer Kadic , Yuning Guo , Romain Fleury

Topological protection in photonics offers new prospects for guiding and manipulating classical and quantum information. The mechanism of spin-orbit coupling promises the emergence of edge states that are helical; exhibiting unidirectional…

Optics · Physics 2018-11-28 Nikhil Parappurath , Filippo Alpeggiani , L. Kuipers , Ewold Verhagen

Nonreciprocity, which denotes the asymmetric or even unidirectional transmission of light, constitutes the cornerstone of modern photonic circuits. In the realm of photonic devices, it has been widely utilized in isolators, circulators and…

Applied Physics · Physics 2024-05-02 Li Liang , Xiao Zhang , Chuan Wang , Jie Liu , Longzhen Fan , Chengpeng Liang , Liang Liang , Feifei Li , Qi Wu , Yin Poo

It is shown theoretically that a one-dimensional crystal with time reversal symmetry is characterized by a Z_{2} topological invariant that predicts the existence or otherwise of edge states. This is confirmed experimentally through the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Timothy J. Atherton , Celia A. M. Butler , Melita C. Taylor , Ian R. Hooper , Alastair P. Hibbins , J. Roy Sambles , Harsh Mathur

Here we provide a picture of transport in quantum well heterostructures with a periodic driving field in terms of a probabilistic occupation of the topologically protected edge states in the system. This is done by generalizing methods from…

Strongly Correlated Electrons · Physics 2015-09-16 Aaron Farrell , T. Pereg-Barnea

A phononic crystal formed in a suspended membrane provides full confinement of hypersonic waves and thus realizes a range of chip-scale manipulations. In this letter, we demonstrate the mode-resolved real-space characterization of the…

Applied Physics · Physics 2020-02-12 Daiki Hatanaka , Hiroshi Yamaguchi

We predict topological electron crystals driven by the interplay of interlayer Coulomb attraction and topological miniband physics in bilayer graphene--Mott insulator heterostructures. Charge transfer creates a charge neutral, mass…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Wangqian Miao , Tianyu Qiao , Xue-Yang Song , Yinghai Xu , Yiwei Chen , Lei Wang , Xi Dai

We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

The twin discoveries of the quantum Hall effect, in the 1980's, and of topological band insulators, in the 2000's, were landmarks in physics that enriched our view of the electronic properties of solids. In a nutshell, these discoveries…

Strongly Correlated Electrons · Physics 2017-05-24 P. A. McClarty , F. Krüger , T. Guidi , S. F. Parker , K. Refson , A. W. Parker , D. Prabakharan , R. Coldea

Achieving strong light-matter interaction is important for studying and exploiting several physics phenomena. The light-matter interaction strength depends on the optical field intensity in the interaction region, often measured by the…

Optics · Physics 2026-01-21 Rasmus E. Christiansen , Jesper Mørk , Ole Sigmund

We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Pai Wang , Ling Lu , Katia Bertoldi

Progress on two-dimensional materials has shown that valleys, as energy extrema in a hexagonal first Brillouin zone, provides a new degree of freedom for information manipulation. Then valley Hall topological insulators supporting…

Optics · Physics 2022-10-25 Z. Yu , H. Lin , R. Zhou , Z. Li , Z. Mao , K. Peng , Y. Liu , X. Shi

In higher-order topological insulators (HOTIs), topologically nontrivial phases are usually associated with the shift of Wannier centers to topologically nontrivial positions on the edges of the unit cells, and the emergence of fractional…

Topological matter and topological optics have been studied in many systems, with promising applications in materials science and photonics technology. These advances motivate the study of the interaction between topological matter and…

Quantum Physics · Physics 2021-04-28 Wei Nie , Tao Shi , Franco Nori , Yu-xi Liu

We demonstrate photonic crystal nanobeam cavities that support both TE- and TM-polarized modes, each with a Quality factor greater than one million and a mode volume on the order of the cubic wavelength. We show that these orthogonally…

Optics · Physics 2015-05-13 Yinan Zhang , Murray W. McCutcheon , Ian B. Burgess , Marko Loncar

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel