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Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

Topological photonics revolutionizes some of the traditional approaches to light propagation and manipulation, and it provides unprecedented means for developing novel photonic devices. Recently discovered higher-order topological phases go…

Applied Physics · Physics 2020-05-06 Yafeng Chen , Fei Meng , Yuri Kivshar , Baohua Jia , Xiaodong Huang

We introduce a two-dimensional Chern insulator in proximity to a $d$-wave pseudogap state of the high-T$_c$ superconducting material as an effective platform to realize the higher order topological system. The proximity-induced…

Superconductivity · Physics 2022-11-21 Xiaoming Wang , Yu-Xuan Li , Tao Zhou

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Higher-order topological insulators, which support lower-dimensional topological boundary states than the first-order topological insulators, have been intensely investigated in the integer dimensional systems. Here, we provide a new…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Junkai Li , Qingyang Mo , Jian-Hua Jiang , Zhaoju Yang

Macroscopic two-dimensional sonic crystals with inversion symmetry are studied to reveal higher-order topological physics in classical wave systems. By tuning a single geometry parameter, the band topology of the bulk and the edges can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zhan Xiong , Zhi-Kang Lin , Hai-Xiao Wang , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

Topological insulators are new states of quantum matter in which surface states residing in the bulk insulating gap are protected by time-reversal symmetry. When a proper kind of antiferromagnetic long range order is established in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jing Wang , Rundong Li , Shou-Cheng Zhang , Xiao-Liang Qi

Electronic materials harbor a plethora of exotic quantum phases, ranging from unconventional superconductors to non-Fermi liquids, and, more recently, topological phases of matter. While these quantum phases in integer dimensions are well…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Sourav Manna , Snehasish Nandy , Bitan Roy

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

Photonic topological states have revolutionized our understanding on the propagation and scattering of light. Recent discovery of higher-order photonic topological insulators opens an emergent horizon for zero-dimensional topological corner…

Applied Physics · Physics 2021-04-20 Li Zhang , Yihao Yang , Pengfei Qin , Qiaolu Chen , Fei Gao , Erping Li , Jian-Hua Jiang , Baile Zhang , Hongsheng Chen

Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-order topological insulators for which the most striking…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Christopher W. Peterson , Tianhe Li , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

The recent discovery of higher-order topology has largely enriched the classification of topological materials. Theoretical and experimental studies have unveiled various higher-order topological insulators that exhibit topologically…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Zihao Wang , Dongjue Liu , Hau Tian Teo , Qiang Wang , Haoran Xue , Baile Zhang

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

The recent discovery of higher-order topological insulators (TIs) has opened new possibilities in the search for novel topological materials and metamaterials. Second-order TIs have been implemented in two-dimensional (2D) systems…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Haoran Xue , Yahui Yang , Guigeng Liu , Fei Gao , Yidong Chong , Baile Zhang

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

Twisted moir\'e superlattices (TMSs) are fascinating materials with exotic physical properties. Despite tremendous studies on electronic, photonic and phononic TMSs, it has never been witnessed that TMSs can exhibit higher-order band…

Materials Science · Physics 2021-06-01 Shi-Qiao Wu , Zhi-Kang Lin , Bin Jiang , Xiaoxi Zhou , Bo Hou , Jian-Hua Jiang

The topology of the Brillouin zone, foundational in topological physics, is always assumed to be a torus. We theoretically report the construction of Brillouin real projective plane ($\mathrm{RP}^2$) and the appearance of quadrupole…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Jinbing Hu , Songlin Zhuang , Yi Yang