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Topological physics opens a door towards flexible routing and resilient localization of waves of various nature. Recently proposed higher-order topological insulators provide advanced control over wave localization in the structures of…

In spatiotemporally modulated systems, topological states exist not only in energy gaps but also in momentum gaps. Such unconventional topological states impose challenges on topological physics. The underlying models also make the…

介观与纳米尺度物理 · 物理学 2024-09-17 Weiwei Zhu , Jian-Hua Jiang

Higher-order topological insulators (HOTIs) are a newly discovered class of topological insulators which exhibit unconventional bulk-boundary correspondence. Very recently, the concept of HOTIs has been extended to aperiodic…

介观与纳米尺度物理 · 物理学 2020-12-03 Chun-Bo Hua , Rui Chen , Bin Zhou , Dong-Hui Xu

We report the theoretical discovery and characterization of higher-order Floquet topological phases dynamically generated in a periodically driven system with mirror symmetries. We demonstrate numerically and analytically that these phases…

介观与纳米尺度物理 · 物理学 2019-09-04 Martin Rodriguez-Vega , Abhishek Kumar , Babak Seradjeh

High-order topological insulator (HOTI) occupies an important position in topological band theory due to its exotic bulk-edge correspondence. Recently, it has been predicted that external magnetic field can introduce rich physics into…

量子物理 · 物理学 2021-09-28 Sheng Li , Xiao-Xue Yan , Jin-Hua Gao , Yong Hu

Since the discovery of the Harper-Hofstadter model, it has been known that condensed matter systems with periodic modulations can be promoted to non-trivial topological states with emergent gauge fields in higher dimensions. In this work,…

介观与纳米尺度物理 · 物理学 2021-06-07 Kuan-Sen Lin , Barry Bradlyn

We study the orbital magnetic quadrupole moment (MQM) in three dimensional higher-order topological phases. Much like electric quadrupole moment, which is associated with a charge response on the boundaries of a finite sample, the diagonal…

介观与纳米尺度物理 · 物理学 2022-11-17 Jacopo Gliozzi , Mao Lin , Taylor L. Hughes

In this work we develop a theoretical framework for the control of corner modes in higher-order topological insulators (HOTIs) featuring long-range hoppings and diverse geometries, enabling precise tunability of their spatial positions.…

介观与纳米尺度物理 · 物理学 2025-09-04 Fang Qin , Rui Chen

Topological insulators and topological superconductors display various topological phases that are characterized by different Chern numbers or by gapless edge states. In this work we show that various quantum information methods such as the…

强关联电子 · 物理学 2015-03-18 T. P. Oliveira , P. D. Sacramento

The studies of topological phases of matter have been extended from condensed matter physics to photonic systems, resulting in fascinating designs of robust photonic devices. Recently, higher-order topological insulators (HOTIs) have been…

介观与纳米尺度物理 · 物理学 2019-06-19 Bi-Ye Xie , Guang-Xu Su , Hong-Fei Wang , Hai Su , Xiao-Peng Shen , Peng Zhan , Ming-Hui Lu , Zhen-Lin Wang , Yan-Feng Chen

Higher-order topological phases with invertible symmetries have been extensively studied in recent years, revealing gapless modes localized on boundaries of higher codimension. In this work, we extend the framework of higher-order…

强关联电子 · 物理学 2026-05-26 Aswin Parayil Mana , Yabo Li , Hiroki Sukeno , Tzu-Chieh Wei

Second-order topological insulators (SOTIs) are the topological phases of matter in d dimensions that manifest (d-2)-dimensional localized modes at the intersection of the edges. We show that SOTIs can be designed via stacked Chern…

介观与纳米尺度物理 · 物理学 2020-09-22 Ce Shang , Xiaoning Zang , Wenlong Gao , Udo Schwingenschlögl , Aurélien Manchon

Search for higher-order topological insulators, characterized by topologically protected gapless boundary states of codimension higher than one, in bosonic systems has attracted growing interest. Here, we establish twisted bilayer honeycomb…

Electric circuits are known to realize topological quadrupole insulators. We explore electric circuits made of capacitors and inductors forming the breathing Kagome and pyrochlore lattices. They are known to possess three phases (trivial…

介观与纳米尺度物理 · 物理学 2019-01-17 Motohiko Ezawa

The recent discovery of heavy-fermion superconductor UTe$_2$ has broadened the possibility of realizing exotic time-reversal-symmetry-breaking superconductivity. However, a comprehensive understanding of the topological phases in the…

超导电性 · 物理学 2025-11-11 Yuki Yamazaki , Shingo Kobayashi

We present a unified framework to systematically embed complex knotted and linked structures, beyond the torus family, into diverse topological phases, including Hopf insulators, classical spin liquids, topological semimetals, and…

强关联电子 · 物理学 2025-03-27 Snigdh Sabharwal

We introduce higher-order topological Dirac superconductor (HOTDSC) as a new gapless topological phase of matter in three dimensions, which extends the notion of Dirac phase to a higher-order topological version. Topologically distinct from…

介观与纳米尺度物理 · 物理学 2020-12-07 Rui-Xing Zhang , Yi-Ting Hsu , S. Das Sarma

Monolayers of transition metal dichalcogenides (TMDs) in the 2H structural phase have been recently classified as higher-order topological insulators (HOTI), protected by $C_3$ rotation symmetry. In addition, theoretical calculations show…

This item from the News & Views category, to be published in Light: Science & Applications, aims to provide a summary of theoretical and experimental results recently published in Ref. [24], which demonstrate the creation of corner modes in…

光学 · 物理学 2024-12-03 Boris A. Malomed

We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and $\mathbb{Z}_{4}$ Berry phase, we obtain the phase diagram and identify that the…

介观与纳米尺度物理 · 物理学 2020-05-14 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan