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Recent progress in topological mechanics have revealed a family of Maxwell lattices that exhibit topologically protected floppy edge modes. These modes lead to a strongly asymmetric elastic wave response. In this paper, we show how…

Soft Condensed Matter · Physics 2020-04-01 Di Zhou , Jihong Ma , Kai Sun , Stefano Gonella , Xiaoming Mao

Topological defects (including disclinations and dislocations) which commonly exist in various materials have shown an amazing ability to produce excellent mechanical and physical properties of matters. In this paper, disclinations and…

Materials Science · Physics 2021-02-16 Baizhan Xia , Liang Tong , Jie Zhang , Shengjie Zheng , Xianfeng Man

Phonon transmission across an interface between dissimilar crystalline solids is calculated using molecular dynamics simulations with interatomic force constants obtained from first principles. The results reveal that although inelastic…

Computational Physics · Physics 2015-06-09 Takuru Murakami , Takuma Hori , Takuma Shiga , Junichiro Shiomi

We investigate the effect of small spatiotemporal modulations in subwavelength-dimensioned phononic crystals with large band gaps, on the frequency spectrum for elastic waves polarized in the plane of periodicity. When the radius of…

Applied Physics · Physics 2021-01-18 D. Psiachos , M. M. Sigalas

We use the methods of topological quantum chemistry to explore the topology of phonons on time-reversal symmetric crystals with the structure of the planar honeycomb (layer group $p6/mmm$). This approach is not tied to a particular model of…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Juan L. Mañes

Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang

We introduce topological phases in Photonic Time-Crystals. Photonic Time-Crystals are materials in which the refractive index varies periodically and abruptly in time. When the refractive index changes abruptly, the light propagating in the…

Optics · Physics 2018-12-14 Eran Lustig , Yonatan Sharabi , Mordechai Segev

Floquet time crystals, characterized by momentum gaps (k-gaps), have sparked intense interest across various branches of physics due to their intriguing dynamics and promising applications. Despite growing theoretical efforts, the…

Applied Physics · Physics 2025-06-02 Z. Liu , X. Zhu , Z. G. Zhang , W. M. Zhang , X. Chen , Y. Q. Yang , R. W. Peng , M. Wang , J. Li , H. W. Wu

We study the properties of two-color nonlinear localized modes which may exist at the interfaces separating two different periodic photonic lattices in quadratic media, focussing on the impact of phase mismatch of the photonic lattices on…

Pattern Formation and Solitons · Physics 2015-05-13 Zhiyong Xu , Mario I. Molina , Yuri S. Kivshar

A honeycomb Floquet lattice with helically rotating waveguides and an interface separating two counter-propagating subdomains is analyzed. Two topologically protected localized waves propagate unidirectionally along the interface. Switching…

Optics · Physics 2023-05-09 Mark J. Ablowitz , Justin T. Cole , S. D. Nixon

In analogous to the Su-Schrieffer-Heeger (SSH) model, one-dimensional (1D) electromagnetic (EM) crystals can exhibit nontrivial topological properties. In particular, when a nontrivial EM crystal is in contact with its trivial counterpart,…

Optics · Physics 2023-01-11 C. Liu , H. C. Ong

Topological phononic crystals, alike their electronic counterparts, are characterized by a bulk-edge correspondence where the interior of a material dictates the existence of stable surface or boundary modes. In the mechanical setup, such…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Roman Süsstrunk , Sebastian D. Huber

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 propose and analyze a scheme to observe topological phenomena with ions in microtraps. We consider a set of trapped ions forming a regular structure in two spatial dimensions and interacting with lasers. We find phonon bands with…

Quantum Physics · Physics 2013-01-22 T. Shi , J. I. Cirac

The ordering of magnetic or electric dipoles leading to real-space topological structures is at the forefront of materials research as their quantum mechanical nature often lends itself to emergent properties. Atomic lattice vibrations…

Defect modes in two-dimensional periodic photonic structures have found use in a highly diverse set of optical devices. For example, photonic crystal cavities confine optical modes to subwavelength volumes and can be used for Purcell…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Jiho Noh , Wladimir A. Benalcazar , Sheng Huang , Matthew J. Collins , Kevin Chen , Taylor L. Hughes , Mikael C. Rechtsman

Topological edge states exist at the interfaces between two topologically-distinct materials. The presence and number of such modes are deterministically predicted from the bulk-band topologies, known as the bulk-edge correspondence. This…

Topological transitions are fundamental phenomena in electronics, photonics, and quantum technologies. However, the scalability and tunability of Topological transitions in these systems have still been constrained by their material…

Optics · Physics 2025-11-18 Bo Tian , Xi Zhang , Ruitao Wu , Yuquan Zhang , Luping Du , Xiaocong Yuan

Topological phonon modes are robust vibrations localized at the edges of special structures. Their existence is determined by the bulk properties of the structures and, as such, the topological phonon modes are stable to changes occurring…

Soft Condensed Matter · Physics 2011-02-24 Nina Berg , Kira Joel , Miriam Koolyk , Emil Prodan

We propose a framework to realize helical edge states in phononic systems using two identical lattices with interlayer couplings between them. A methodology is presented to systematically transform a quantum mechanical lattice which…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Raj Kumar Pal , Marshall Schaeffer , Massimo Ruzzene