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Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

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…

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

Phonons have provided an ideal platform for a variety of intriguing physical states, such as non-Abelian braiding and the Haldane model. It is promising that phonons will realize the complicated nodal states accompanying unusual quantum…

Materials Science · Physics 2023-09-27 Wen-Han Dong , Jinbo Pan , Jia-Tao Sun , Shixuan Du

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

Perovskite oxides exhibit a rich variety of structural phases hosting different physical phenomena that generate multiple technological applications. We find that topological phonons, i.e., nodal rings, nodal lines, and Weyl points, are…

Materials Science · Physics 2020-11-13 Bo Peng , Yuchen Hu , Shuichi Murakami , Tiantian Zhang , Bartomeu Monserrat

Phonons are ubiquitous quasiparticles in solid state systems describing the quantized vibrations of a crystal lattice. Phonons play a central role in a wide range of physical phenomena, from transport to symmetry-breaking orders, such as…

Materials Science · Physics 2025-12-04 Tiantian Zhang , Yizhou Liu , Hu Miao , Shuichi Murakami

Topological physics has evolved from its initial focus on fermionic systems to the exploration of bosonic systems, particularly phononic excitations in crystalline materials. Two-dimensional (2D) topological phonons emerge as promising…

Materials Science · Physics 2025-02-27 Zhiyu Tao , Yani Wang , Shuyi He , Jiade Li , Siwei Xue , Zhibin Su , Jiatao Sun , Hailin Peng , Jiandong Guo , Xuetao Zhu

Topological semimetal states which are constrained by symmetries and give birth to innovative excitations are the frontiers of topological quantum matter. Nodal chains in which two nodal rings connect at one point were first discovered in…

Materials Science · Physics 2022-12-21 Hong-Ao Yang , Hao-Yu Wei , Bing-Yang Cao

Carbon, as one of the most common element in the earth, constructs hundreds of allotropic phases to present rich physical nature. In this work, by combining the ab inito calculations and symmetry analyses method, we systematically study a…

Materials Science · Physics 2023-08-21 Qing-Bo Liu , Xiang-Feng Yang , Zhe-Qi Wang , Ziyang Yu , Lun Xiong , Hua-Hua Fu

Topological phonons in crystalline materials have been attracting great interest. However, most cases studied so far are direct generalizations of the topological states from electronic systems. Here, we reveal a novel class of topological…

Materials Science · Physics 2022-05-06 Jiaojiao Zhu , Weikang Wu , Jianzhou Zhao , Hao Chen , Lifa Zhang , Shengyuan A. Yang

The topological metal states in electronic systems have been extensively studied, but topological phonons were explored only in few examples so far. Here, we expose for the first time that the topological nodal gimbal phonons, type-I and…

Materials Science · Physics 2021-05-04 Jing-Yang You , Xian-Lei Sheng , Gang Su

Inspired by concepts developed for fermionic systems in the framework of condensed matter physics, topology and topological states are recently being explored also in bosonic systems. The possibility of engineering systems with…

Topological states of electrons and photons have attracted significant interest recently. Topological mechanical states also being actively explored, have been limited to macroscopic systems of kHz frequency. The discovery of topological…

Materials Science · Physics 2018-01-10 Tiantian Zhang , Zhida Song , A. Alexandradinata , Hongming Weng , Chen Fang , Ling Lu , Zhong Fang

Despite the presence of topological disorder, phonons seem to exist also in glasses at very high frequencies (THz) and they remarkably persist into the supercooled liquid. A universal feature of such a systems is the Boson peak, an excess…

Condensed Matter · Physics 2009-11-10 S. Ciliberti , T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Topological mechanics and phononics have recently emerged as an exciting field of study. Here we introduce and study generalizations of the three-dimensional pyrochlore lattice that have topologically protected edge states and Weyl lines in…

Soft Condensed Matter · Physics 2016-11-10 Olaf Stenull , C. L. Kane , T. C. Lubensky

The discovery of topological quantum states marks a new chapter in both condensed matter physics and materials sciences. By analogy to spin electronic system, topological concepts have been extended into phonons, boosting the birth of…

Materials Science · Physics 2021-03-03 Jiangxu Li , Jiaxi Liu , Stanley A. Baronett , Ronghan Li , Lei Wang , Qiang Zhu , Xing-Qiu Chen

Based on the first-principles calculations, we theoretically propose topologically non-trivial states in a recently experimentally discovered superconducting material CaSn$_3$. When the spin-orbit coupling (SOC) is ignored, the material is…

Materials Science · Physics 2017-11-28 Sunny Gupta , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

Condensed matter systems contain both fermionic and bosonic quasiparticles. Owing to the constraint imposed by the Fermi level, ideal material candidate for the emergent particles with higher-dimensional degeneracy manifold (i.e., nodal…

Materials Science · Physics 2021-08-03 Xiaotian Wang , Feng Zhou , Tie Yang , Minquan Kuang , Zhi-Ming Yu , Gang Zhang

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon
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