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I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

Optics · Physics 2025-03-03 Yaroslav V. Kartashov

Higher-order topological insulators (HOTIs) represent a novel class of topological materials, characterised by the emergence of topological boundary modes at dimensions two or more lower than those of bulk materials. Recent experimental…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Yong-Bin Choi , Jinho Park , Woochan Jung , Sein Park , Mazhar N. Ali , Gil-Ho Lee

High-harmonic spectroscopy (HHS) is a nonlinear all-optical technique with inherent attosecond temporal resolution, which has been applied successfully to a broad variety of systems in the gas phase and solid state. Here, we extend HHS to…

The properties of topological systems are inherently tied to their dimensionality. Higher-dimensional physical systems exhibit topological properties not shared by their lower dimensional counterparts and, in general, offer richer physics.…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Kai Chen , Matthew Weiner , Mengyao Li , Xiang Ni , Andrea Alù , Alexander B. Khanikaev

Corner states (CSs) in higher-order topological insulators (HOTIs) have recently been of great interest in both crystals and quasicrystals. In contrast to electronic systems, HOTIs have not been found in photonic quasicrystals (PQCs). Here,…

Optics · Physics 2022-07-26 Langlang Xiong , Yu Zhang , Yufu Liu , Yaoxian Zheng , Xunya Jiang

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

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

A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet, these corner modes do not carry a clear…

Mesoscale and Nanoscale Physics · Physics 2020-10-09 Guido van Miert , Carmine Ortix

High-order harmonic generation (HHG) in solids has emerged as a versatile platform for exploring ultrafast and quantum-coherent phenomena in condensed matter. Recent advances reveal Berry-phase and topological effects in harmonic emission,…

Optics · Physics 2025-10-20 Marcelo F. Ciappina

We demonstrate that HOTIs with the quantization of the quadrupole moments can be realized in the two-dimensional elastic phononic crystals (PnCs). Both one-dimensional (1D) topological edge states and zero-dimensional (0D) topological…

Applied Physics · Physics 2019-09-12 Zhen Wang , Qi Wei , Heng-Yi Xu , Da-Jian Wu

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

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.…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Fang Qin , Rui Chen

Higher order topological insulators (HOTI) have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Here, we incorporate…

Strongly Correlated Electrons · Physics 2020-06-02 Biao Huang , W. Vincent Liu

The higher-order topological insulator (HOTI) is a new type of topological system which has special bulkedge correspondence compared with conventional topological insulators. In this work, we propose a scheme to realize Floquet HOTI in…

Quantum Gases · Physics 2022-06-29 Ying Lei , Xi-Wang Luo , Shaoliang Zhang

Topologically protected corner states serve as a key indicator for two-dimensional higher-order topological insulators, yet they have not been experimentally identified in realistic materials. Here, by utilizing the effective tight-binding…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Xiaolin Wan , Junjie Zeng , Ruixiang Zhu , Dong-Hui Xu , Baobing Zheng , Rui Wang

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

Thermotropic liquid crystals are versatile optical materials that exhibit a state of matter intermediate between liquids and solids. Their properties can change significantly with temperature, pressure, or other external factors, leading to…

Synchronized rotation of unit cells in a periodic structure provides a novel design perspective for manipulation of band topology. We then design a two-dimensional version of higher-order topological insulators (HOTI), by such rotation in a…

Optics · Physics 2022-05-05 R. Zhou , H. Lin , Y. Wu , Z. Li , Z. Yu , Y. Liu , Dong-Hui Xu

The discovery of photonic higher-order topological insulators (HOTIs) has significantly expanded our understanding of band topology and provided unprecedented lower-dimensional topological boundary states for robust photonic devices.…

High-order harmonic generation (HHG) is a powerful tool for probing electronic structure and ultrafast dynamics in matter. Traditionally studied in atomic and molecular gases, HHG has recently been extended to condensed matter, enabling…