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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…

Optics · Physics 2024-12-03 Boris A. Malomed

In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interacting systems subject to subsystem symmetry constraints. We…

Strongly Correlated Electrons · Physics 2022-06-29 Julian May-Mann , Yizhi You , Taylor L. Hughes , Zhen Bi

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Topological lasers are a new class of lasers that seek to exploit the special properties of topological states of light. A typical limiting factor in their performance is the existence of non-topological states with quality factors…

Optics · Physics 2021-10-25 B. F. Zhu , Q. Wang , Y. Q. Zeng , Q. J. Wang , Y. D. Chong

We explore topological properties of a modulated Haldane model (MHM) in which the strength of the nearest-neighbor and next-nearest-neighbor terms is made unequal and the three-fold rotational symmetry $\mathcal{C}_3$ is broken by…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Baokai Wang , Xiaoting Zhou , Hsin Lin , Arun Bansil

We theoretically investigate a two-dimensional decorated honeycomb lattice framework to realize a second-order topological magnon insulator (SOTMI) phase featuring distinct corner-localized modes. Our study emphasizes the pivotal role of…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Sayak Bhowmik , Saikat Banerjee , Arijit Saha

A second-order topological insulator in $d$ dimensions is an insulator which has no $d-1$ dimensional topological boundary states but has $d-2$ dimensional topological boundary states. It is an extended notion of the conventional…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Motohiko Ezawa

In two dimensions, Hermitian lattices with non-zero Chern numbers and non-Hermitian lattices with a higher-order skin effect (HOSE) bypass the constraints of the Nielsen-Ninomiya no-go theorem at their one-dimensional boundaries. This…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Yifan Wang , Wladimir A. Benalcazar

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

To explore the non-Euclidean generalization of higher-order topological phenomena, we construct a higher-order topological insulator model in hyperbolic lattices by breaking the time-reversal symmetry (TRS) of quantum spin Hall insulators.…

Mesoscale and Nanoscale Physics · Physics 2023-03-09 Zheng-Rong Liu , Chun-Bo Hua , Tan Peng , Rui Chen , Bin Zhou

Symmetry-protected topological crystalline insulators (TCIs) have primarily been characterized by their gapless boundary states. However, in time-reversal- ($\mathcal{T}$-) invariant (helical) 3D TCI$\unicode{x2014}$termed higher-order TCIs…

Nodal-line semimetals are commonly believed to exist in $\mathcal{PT}$ symmetric or mirror-rotation symmetric systems. Here, we find a flux-induced parameter-dimensional second-order nodal-line semimetal (SONLS) in a two-dimensional system…

Mesoscale and Nanoscale Physics · Physics 2023-12-11 Ming-Jian Gao , Jun-Hong An

Photonic topological states, providing light-manipulation approaches in robust manners, have attracted intense attention. Connecting photonic topological states with far-field degrees of freedom(DoFs) has given rise to fruitful phenomena.…

Haldane model is a celebrated tight binding toy model in a 2D honeycomb lattice that exhibits quantized Hall conductance in the absence of an external magnetic field. In our work, we deform the bands of the Haldane model smoothly by varying…

Mesoscale and Nanoscale Physics · Physics 2023-04-24 Srijata Lahiri , Saurabh Basu

Two-dimensional (2D) generalization of the Su-Schriffer-Heeger (SSH) model serves as a platform for exploring higher-order topological insulators (HOTI). We investigate this model in a magnetic field which interpolates two models studied so…

Mesoscale and Nanoscale Physics · Physics 2019-12-13 Y. Otaki , T. Fukui

Topological materials (TMs) are well-known for their topological protected properties. Phononic system has the advantage of direct observation and engineering of topological phenomena on the macroscopic scale. For the inverse design of 3D…

Applied Physics · Physics 2023-06-14 Jiachen Luo , Zongliang Du , Hui Chen , Xianggui Ding , Chang Liu , Weisheng Zhang , Xu Guo

The theory of quantum phase transitions separating different phases with distinct symmetry patterns at zero temperature is one of the foundations of modern quantum many-body physics. In this paper we demonstrate that the existence of a 2D…

Strongly Correlated Electrons · Physics 2020-08-06 Yizhi You , Julian Bibo , Frank Pollmann , Taylor L. Hughes

Extensive recent research on Lieb and kagome lattices highlights their unique physics characterized by the coexistence of Dirac points, van Hove singularities, and flat bands. In these models, flat bands are typically pinned at the center…

Mesoscale and Nanoscale Physics · Physics 2024-10-08 Amrita Mukherjee , Bahadur Singh

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…

Quantum Physics · Physics 2021-09-28 Sheng Li , Xiao-Xue Yan , Jin-Hua Gao , Yong Hu
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