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Notion of square-root topological insulators have been recently generalized to higher-order topological insulators. In two-dimensional square-root higher-order topological insulators, emergence of in-gap corner states are inherited from the…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Daiki Matsumoto , Tomonari Mizoguchi , Yasuhiro Hatsugai

Higher-order topological insulators (HOTIs) are a novel type of topological phases which supports $d$-dimensional topological boundary states in $D$-dimensional systems with $D-d>1$. In this work, we theoretically predict that interlayer…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Jiang Yao , Linhu Li

Higher-order topological insulators (HOTIs) are unique materials hosting topologically protected states, whose dimensionality is at least by a factor of 2 lower than that of the bulk. Topological states in such insulators may be strongly…

Symmetry and topology are essential principles in topological physics. Recently, the idea of sub-symmetry-protected topology -- where some of the original symmetries are broken while a remaining subset, called sub-symmetries, continues to…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Myungjun Kang , Wonjun Sung , Sonu Verma , Sangmo Cheon

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…

Higher order topological insulators (HOTIs) are a new class of topological materials which host protected states at the corners or hinges of a crystal. HOTIs provide an intriguing alternative platform for helical and chiral edge states and…

Materials Science · Physics 2021-07-27 Leena Aggarwal , Penghao Zhu , Taylor L. Hughes , Vidya Madhavan

Non-Hermitian topological phases have gained immense attention due to their potential to unlock novel features beyond Hermitian bounds. PT-symmetric (Parity Time-reversal symmetric) non-Hermitian models have been studied extensively over…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Chakradhar Rangi , Ka-Ming Tam , Juana Moreno

The gapless chiral hinge states of three dimensional second-order topological insulators (SOTIs) support a quantized conductance plateau on thick nanowire. Here, we numerical study the conductance of SOTI constrictions. According to finite…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Junyu Luo , Kun Luo

We calculate the magnetization of the helical metallic surface states of a topological insulator. We account for the presence of a small sub-dominant Schr{\"o}dinger piece in the Hamiltonian in addition to the dominant Dirac contribution.…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Calvin J. Tabert , J. P. Carbotte

One-dimensional (1D) gapless hinge states are predicated in the three-dimensional (3D) higher-order topological insulators and topological semimetals, because of the higher-order bulk-boundary correspondence. Nevertheless, the topologically…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 An-Qi Wang , Peng-Zhan Xiang , Tong-Yang Zhao , Zhi-Min Liao

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

Higher-order topological insulators (HOTIs) are unique topological materials supporting edge states with the dimensionality at least by two lower than the dimensionality of the underlying structure. HOTIs were observed on lattices with…

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

Recent studies on the magneto-transport properties of topological insulators (TI) have attracted great attention due to the rich spin-orbit physics and promising applications in spintronic devices. Particularly the strongly spin-moment…

Materials Science · Physics 2017-08-23 Jiahao Han , A. Richardella , Saima Siddiqui , Joseph Finley , N. Samarth , Luqiao Liu

The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

An axion insulator is a three-dimensional (3D) topological insulator (TI), in which the bulk maintains the time-reversal symmetry or inversion symmetry but the surface states are gapped by surface magnetization. The axion insulator state…

The recent discovery of higher-order topological insulators (HOTIs) has significantly extended our understanding of topological phases of matter. Here, we predict that second-order corner states can emerge in the dipolar-coupled dynamics of…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan

A second-order topological insulator (SOTI) in $d$ spatial dimensions features topologically protected gapless states at its $(d-2)$-dimensional boundary at the intersection of two crystal faces, but is gapped otherwise. As a novel…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Xian-Lei Sheng , Cong Chen , Huiying Liu , Ziyu Chen , Zhi-Ming Yu , Y. X. Zhao , Shengyuan A. Yang

Based on first-principles calculations and symmetry analysis, we propose that EuIn$_2$As$_2$ is a long awaited axion insulator with antiferromagnetic (AFM) long range order. Characterized by the parity-based invariant $\mathbb Z_4=2$, the…

Materials Science · Physics 2019-07-03 Yuanfeng Xu , Zhida Song , Zhijun Wang , Hongming Weng , Xi Dai