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Higher-order topological phases and real topological phases are two emerging topics in topological states of matter, which have been attracting considerable research interest. However, it remains a challenge to find realistic materials that…

Materials Science · Physics 2021-09-01 Cong Chen , Weikang Wu , Zhi-Ming Yu , Ziyu Chen , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

Real topological phases featuring real Chern numbers and second-order boundary modes have been a focus of current research, but finding their material realization remains a challenge. Here, based on first-principles calculations and…

Materials Science · Physics 2022-02-14 Cong Chen , Xu-Tao Zeng , Ziyu Chen , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

The study of higher-order and real topological states as well as the material realization have become a research forefront of topological condensed matter physics in recent years. Twisted bilayer graphene (tbG) is proved to have…

Materials Science · Physics 2022-08-02 Bin-Bin Liu , Xu-Tao Zeng , Cong Chen , Ziyu Chen , Xian-Lei Sheng

The topological physics has been extensively studied in different kinds of bosonic and fermionic systems, ranging from artificial structures to natural materials. However, the coexistence of topological phonon and electron in one single…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Haimen Mu , Bing Liu , Tianyi Hu , Z. F. Wang

The real Chern insulator state, featuring nontrivial real Chern number and second-order boundary modes, has been revealed in a few two-dimensional systems. The concept can be extended to three dimensions (3D), but a proper material…

Materials Science · Physics 2023-02-28 Xu-Tao Zeng , Bin-Bin Liu , Fan Yang , Zeying Zhang , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

Topological states of matter are particularly robust, since they exploit global features insensitive to local perturbations. In this work, we describe how to create a Chern insulator of phonons in the solid state. The proposed…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 V. Peano , C. Brendel , M. Schmidt , F. Marquardt

Efficient control of phonons is crucial to energy-information technology, but limited by the lacking of tunable degrees of freedom like charge or spin. Here we suggest to utilize crystalline symmetry-protected pseudospins as new quantum…

Mesoscale and Nanoscale Physics · Physics 2019-09-12 Yizhou Liu , Yong Xu , Wenhui Duan

We predict twisted double bilayer graphene to be a versatile platform for the realization of fractional Chern insulators readily targeted by tuning the gate potential and the twist angle. Remarkably, these topologically ordered states of…

Mesoscale and Nanoscale Physics · Physics 2021-01-18 Zhao Liu , Ahmed Abouelkomsan , Emil J. Bergholtz

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence…

Materials Science · Physics 2020-01-30 Eunwoo Lee , Rokyeon Kim , Junyeong Ahn , Bohm-Jung Yang

Topological physics has evolved from its initial focus on fermionic systems to the exploration of bosonic systems, particularly phononic excitations in crystalline materials. Two-dimensional (2D) topological phonons emerge as promising…

Materials Science · Physics 2025-02-27 Zhiyu Tao , Yani Wang , Shuyi He , Jiade Li , Siwei Xue , Zhibin Su , Jiatao Sun , Hailin Peng , Jiandong Guo , Xuetao Zhu

We perform both lattice dynamics analysis and molecular dynamics simulations to demonstrate the existence of topologically protected phonon modes in a two-dimensional, monolayer hexagonal boron nitride sheet. The topological phonon modes…

Materials Science · Physics 2018-08-07 Jin-Wu Jiang , Bing-Shen Wang , Harold S. Park

The discovery that the band structure of electronic insulators may be topologically non-trivial has unveiled distinct phases of electronic matter with novel properties. Recently, mechanical lattices have been found to have similarly rich…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Noah P. Mitchell , Lisa M. Nash , Daniel Hexner , Ari Turner , William T. M. Irvine

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

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

Two-dimensional (2D) Stiefel-Whitney (SW) insulator is a fragile topological state characterized by the second SW class in the presence of space-time inversion symmetry. So far, SWIs have been proposed in several electronic materials but…

Materials Science · Physics 2022-11-30 Mingxiang Pan , Huaqing Huang

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

In principle the stacking of different two-dimensional (2D) materials allows the construction of 3D systems with entirely new electronic properties. Here we propose to realize topological crystalline insulators (TCI) protected by mirror…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Sanjib Kumar Das , Binghai Yan , Jeroen van den Brink , Ion Cosma Fulga

Altermagnets, recently identified as a third class of collinear magnetic materials, have attracted significant attention in condensed matter physics. Despite this growing interest, the realization of real Chern insulators in intrinsic…

Materials Science · Physics 2025-12-19 Yong-Kun Wang , Shifeng Qian , An-Dong Fan , Si Li

Quadrupole phase, as a novel high-order topological phase, exhibits nontrivial gapless states at the boundaries whose dimension is lower than bulk by two. However, this phase has not been observed experimentally in two-dimensional (2D)…

Materials Science · Physics 2022-11-03 Z. H. Li , P. Zhou , Q. H. Yan , X. Y. Peng , Z. S. Ma , L. Z. Sun

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe
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