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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

Topological photonics offers transformative potential for robust integrated waveguide devices due to their backscattering-immune properties. However, their integration faces two fundamental challenges: mode symmetry mismatch with…

Photonic topological insulators (PTIs) have been widely studied due to the robustness of energy transport via supported edge modes immune to structural disorder. In this work, a topological gap waveguide is constructed by introducing line…

Applied Physics · Physics 2023-10-05 Yan Ren , Hai Lin , Rui Zhou , Xintong Shi , Jing Jin , Y. Liu

Topological phononics extends the foundational concepts of topological condensed matter physics to the realm of lattice vibrations and classical mechanical waves, unlocking robust, defect-immune states and phenomena beyond the reach of…

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

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Topologically protected gapless edge states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

Due to their ability to confine light, optical resonators are of great importance to science and technology, yet their performances are often limited by out-of-plane scattering losses from inevitable fabrication imperfections. Here, we…

Optics · Physics 2020-01-08 Jicheng Jin , Xuefan Yin , Liangfu Ni , Marin Soljačić , Bo Zhen , Chao Peng

Dislocations are ubiquitous in three-dimensional solid-state materials. The interplay of such real space topology with the emergent band topology defined in reciprocal space gives rise to gapless helical modes bound to the line defects.…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Liping Ye , Chunyin Qiu , Meng Xiao , Tianzi Li , Juan Du , Manzhu Ke , Zhengyou Liu

Routing and guiding acoustic waves around sharp corners without backscattering losses is of great interest in the acoustics community. Sonic crystals have been primarily utilized to design backscattering-immune waveguides. While…

Recently, we witnessed a tremendous effort to conquer the realm of acoustics as a possible playground to test with sound waves topologically protected wave propagation. Acoustics differ substantially from photonic and electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Xiujuan Zhang , Meng Xiao , Ying Cheng , Ming-Hui Lu , Johan Christensen

Control and manipulation of electromagnetic waves has reached a new level with the recent understanding of topological states of matter. These metamaterials have the potential to revolutionize many areas in traditional electromagnetic…

This work extends the theory of topological protection to dispersive systems. This theory has emerged from the field of topological insulators and has been established for continuum models in both classical and quantum settings. It predicts…

Analysis of PDEs · Mathematics 2023-11-13 Konstantinos Alexopoulos , Bryn Davies

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 insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

The quantization of transport and its resilience to backscattering are key features for leveraging topological matter in applications that demand stringent noise mitigation, such as metrology and quantum information processing. Due to the…

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

We present a methodology to perform inverse analysis on reconfigurable topological insulators for flexural waves in plate-like structures. First the unit cell topology of a phononic plate is designed, which offers two-fold degeneracy in the…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Chuong Nguyen , S. S. Nanthakumar , Xiaoying Zhuang , Ludovic Chamoin , Yabin Jin , Timon Rabczuk

Gapless surface states on topological insulators are protected from elastic scattering on non-magnetic impurities which makes them promising candidates for low-power electronic applications. However, for wide-spread applications, these…

Strongly Correlated Electrons · Physics 2013-01-09 Z. -H. Pan , A. V. Fedorov , D. Gardner , Y. S. Lee , S. Chu , T. Valla