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In the past years classical wave-systems have constituted an excellent platform for emulating complex quantum phenomena. This approach has been especially fruitful in demonstrating topological phenomena in photonics and acoustics: from…

Applied Physics · Physics 2020-04-09 Matthew Weiner , Xiang Ni , Mengyao Li , Andrea Alù , Alexander B. Khanikaev

Modern theory of electric polarization is formulated by the Berry phase, which, when quantized, leads to topological phases of matter. Such a formulation has recently been extended to higher electric multipole moments, through the discovery…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

High-order topological insulators (TIs) are a family of recently-predicted topological phases of matter obeying an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order TI does not…

Mesoscale and Nanoscale Physics · Physics 2020-06-17 Haoran Xue , Yahui Yang , Fei Gao , Yidong Chong , Baile Zhang

Recently, the theory of quantized dipole polarization has been extended to account for electric multipole moments, giving rise to the discovery of multipole topological insulators (TIs). Both two-dimensional (2D) quadrupole and…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Weixuan Zhang , Deyuan Zou , Wenjing He , Jiacheng Bao , Qingsong Pei , Houjun Sun , Xiangdong Zhang

There have been considerable efforts devoted to the study of topological phases in certain non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss. However, it is challenging to experimentally realize such…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shuo Liu , Shaojie Ma , Cheng Yang , Lei Zhang , Wenlong Gao , Yuan Jiang Xiang , Tie Jun Cui , Shuang Zhang

Topological states nurtures the emergence of devices with unprecedented functions in photonics, plasmonics, acoustics and phononics. As one of the recently discovered members, higher-order topological insulators (HOTIs) have been…

Materials Science · Physics 2021-06-17 Biye Xie , Hai-Xiao Wang , Xiujuan Zhang , Peng Zhan , Jian-Hua Jiang , Minghui Lu , Yanfeng Chen

We demonstrate theoretically an atomic liquid phase that supports topologically nontrivial electronic structure. A minimum two-orbital model of liquid topological insulator in two dimensions is constructed within the framework of…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 Gia-Wei Chern

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

Topological phases, including the conventional first-order and higher-order topological insulators and semimetals, have emerged as a thriving topic in the fields of condensed-matter physics and material science. Usually, a topological…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Yating Yang , Jiuyang Lu , Mou Yan , Xueqin Huang , Weiyin Deng , Zhengyou Liu

We demonstrate that vacancies can induce topologically protected localized electronic excitations within the bulk of a topological insulator, and when sufficiently close, give rise to one-dimensional propagating chiral bulk modes. We show…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Cunyuan Jiang , Weicen Dong , Matteo Baggioli

High-efficiency energy harvesting of ultrasonic elastic waves are crucial for powering electric gadgets in many emerging technologies such as wearable devices, wireless sensing, and biomedical implants. Although topological phononic…

Optics · Physics 2026-02-04 Jiamin Guo , Zhongming Gu , Lei Fan , Jie Liu , Yafeng Chen , Zhongqing Su , Jie Zhu

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the…

High Energy Physics - Theory · Physics 2022-04-13 J. Gamboa , F. Mendez

An electron moving in a magnetically ordered background feels an effective magnetic field that can be both stronger and more rapidly varying than typical externally applied fields. One consequence is that insulating magnetic materials in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joel E. Moore , Ying Ran , Xiao-Gang Wen

Acoustic dampers are efficient and cost-effective means for suppressing thermoacoustic instabilities in combustion chambers. However, their design and the choice of their purging air mass flow is a challenging task, when one aims at…

Applied Physics · Physics 2019-02-20 Claire Bourquard , Nicolas Noiray

We use homotopy theory to extend the notion of strong and weak topological insulators to the non-stable regime (low numbers of occupied/empty energy bands). We show that for strong topological insulators in d spatial dimensions to be "truly…

Other Condensed Matter · Physics 2015-07-01 Ricardo Kennedy , Charles Guggenheim

Topological insulators are new states of matter in which the topological phase originates from symmetry breaking. Recently, time-reversal invariant topological insulators were demonstrated for classical wave systems, such as acoustic…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Yifan Zhu , Yugui Peng , Xudong Fan , Jing Yang , Bin Liang , Xuefeng Zhu , Jianchun Cheng

Quantized bulk quadrupole moment has unveiled a nontrivial boundary state, exhibiting lower-dimensional topological edge states and simultaneously hosting the in-gap corner modes of zero dimension. All state-of-the-art strategies for…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Guoqiang Xu , Xue Zhou , Jing Wu , Cheng-Wei Qiu

In recent years, second-order topological insulators have been proposed as a new class of topological insulators. Second-order topological insulators are materials with gapped bulk and surfaces, but with topologically protected gapless…

Mesoscale and Nanoscale Physics · Physics 2020-03-31 Yutaro Tanaka , Ryo Takahashi , Shuichi Murakami