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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…

A unified form of time-reversal symmetry (TRS) breaking terms in phononic crystals, leading to nontrivial phononic topology, has been proposed recently, but is contradicted by some other works which introduce gyroscopic effect as…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Jingtian Shi

The discovery that the band structure of electronic insulators may be topologically non-trivial has unveiled distinct phases of electronic matter with novel properties. Recently, mechanical lattices have been found to have similarly rich…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Noah P. Mitchell , Lisa M. Nash , Daniel Hexner , Ari Turner , William T. M. Irvine

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

Materials Science · Physics 2018-04-18 Bai-Zhan Xia , Sheng-Jie Zheng , Ning Chen , Ting-Ting Liu , Jun-Rui Jiao , Hong-Qing Dai , De-Jie Yu , Jian Liu

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

Phononic crystals and acoustic meta-materials are used to tailor phonon and sound propagation properties by facilitating artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Daniel Midtvedt , Andreas Isacsson , Alexander Croy

The report reviews the problem of topological coherent modes, which are nonlinear collective states of Bose-condensed atoms. Such modes can be generated by means of alternating external fields, whose frequencies are in resonance with the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , K. -P. Marzlin , E. P. Yukalova , V. S. Bagnato

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

The goal of this paper is to advance the development of wave-guiding subwavelength crystals by developing designs whose properties are stable with respect to imperfections in their construction. In particular, we make use of a locally…

Analysis of PDEs · Mathematics 2021-01-07 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Sanghyeon Yu

We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approximation of the spectral properties of dimer-type block…

Optics · Physics 2025-11-25 Habib Ammari , Jiayu Qiu , Alexander Uhlmann

Phononic crystals (PnCs) are artificially patterned media exhibiting bands of allowed and forbidden zones for phonons. Many emerging applications of PnCs from solid-state simulators to quantum memories could benefit from the on-demand…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Yuefeng Yu , Jan N. Kirchhof , Aleksei Tsarapkin , Victor Deinhart , Oguzhan Yucel , Bianca Höfer , Katja Höflich , Kirill I. Bolotin

Topological acoustic and elastic waves have recently emerged as an exciting interdisciplinary field which is still mainly focused on low-dimensional structures and model systems. Here we demonstrate numerically an elastic-wave analogue of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Zhan Xiong , Hai-Xiao Wang , Jinjie Shi , Jie Luo , Yun Lai , Ming-Hui Lu , Jian-Hua Jiang

Topological acoustics is an emerging field that lies at the intersection of condensed matter physics, mechanical structural design and acoustics engineering. It explores the design and construction of novel artificial structures, such as…

Applied Physics · Physics 2023-03-01 Haoran Xue , Yihao Yang , Baile Zhang

Acoustic metamaterials and phononic crystals represent a promising platform for the development of noise-insulating systems characterized by a low weight and small thickness. Nevertheless, the operational spectral range of these structures…

Topological interface states (TISs) in phononic crystals (PnCs) are robust acoustic modes against external perturbations, which are of great significance in scientific and engineering communities. However, designing a pair of PnCs with…

Applied Physics · Physics 2025-02-18 Xue-Qian Zhang , Yi-Da Liu , Xiao-Shuang Li , Tian-Xue Ma , Yue-Sheng Wang , Zhuo Zhuang

One-dimensional topological edge modes are usually studied considering the interface between two different semi infinite periodic crystals (PCs) with inverted band structure around the Dirac point. Here we consider the case where the two…

Recent experiments on few-layer graphene structures have reported indirect signatures of anomalous Hall crystals (AHCs), but the need for a top gate to stabilize the phase precludes direct imaging of the emergent electronic lattice. This…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Mark R. Hirsbrunner , Félix Desrochers , Joe Huxford , Yong Baek Kim

Topological phase transitions occur when the electronic bands change their topological properties, typically featuring the closing of the bandgap. While the influence of topological phase transitions on electronic and optical properties has…

Materials Science · Physics 2021-01-04 Shengying Yue , Bowen Deng , Yanming Liu , Yujie Quan , Runqing Yang , Bolin Liao

Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 C. L. Kane , T. C. Lubensky

We propose an efficient scheme for simulating the topological phases of matter based on silicon-vacancy (SiV) center arrays in phononic crystals. This phononic band gap structure allows for long-range spin-spin interactions with a tunable…

Quantum Physics · Physics 2020-02-12 Xiao-Xiao Li , Bo Li , Peng-Bo Li