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Recently extended from the modern theory of electric polarization, quantized multipole topological insulators (QMTIs) describe higher-order multipole moments, lying in nested Wilson loops, which are inherently quantized by lattice…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Xiang Ni , Mengyao Li , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films,…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Qi Yao , Yuchen Ji , Peng Chen , Qing-Lin He , Xufeng Kou

Interfaces between normal and topological insulators are bound to host metallic states that are protected by time-reversal symmetry and are therefore robust against disorder and interface reconstruction. Two-dimensional topological…

Materials Science · Physics 2019-08-30 Thomas Olsen

We start by describing a symmetry enforced nodal line semi-metal (NLSM) in the 2D flat form of honeycomb Group - V and its non trivial thermo-electric response. We will then proceed to show that, upon buckling, the system undergoes its…

Materials Science · Physics 2022-02-15 Santosh Kumar Radha

Interaction induced topological states remain one of the fascinating phases in condensed matter physics. The exciton condensate has recently sparked renewed interest due to the discovery of new candidate materials and its driving force to…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Zheng-Rong Liu , Lun-Hui Hu , Chui-Zhen Chen , Bin Zhou , Dong-Hui Xu

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

In two-dimensional higher-order topological insulators, the corner states are separated by a non-negligible distance. The crystalline symmetries protect the robustness of their corner states with long-range entanglement, which are robust…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Yinong Zhou , Ruqian Wu

As platforms of Majorana modes, topological insulator (quantum anomalous Hall insulator)/superconductor (SC) heterostructures have attracted tremendous attention over the past decade. Here we substitute the topological insulator by its…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Zhongbo Yan

Altermagnets are a novel class of fully spin-compensated magnetic materials that nevertheless have spin-split electronic bands, offering novel perspectives for spintronics applications. Based on a rigorous analysis of altermagnetic…

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

The research landscape of magnetism has been recently enriched by the discovery of altermagnetism. It is an unconventional phase of matter characterized by a d-wave (or higher even-parity-wave) collinear compensated spin ordering, which…

Materials Science · Physics 2025-08-14 T. Jungwirth , J. Sinova , P. Wadley , D. Kriegner , H. Reichlova , F. Krizek , H. Ohno , L. Smejkal

The exploration of topological states is of significant fundamental and practical importance in contemporary condensed matter physics, for which the extension to two-dimensional (2D) organometallic systems is particularly attractive. Using…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Hyun-Jung Kim , Chaokai Li , Ji Feng , Jun-Hyung Cho , Zhenyu Zhang

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…

Strongly Correlated Electrons · Physics 2026-05-26 Aswin Parayil Mana , Yabo Li , Hiroki Sukeno , Tzu-Chieh Wei

We numerically and experimentally study corner states in a continuous elastic plate with em-bedded bolts in a hexagonal pattern. While preserving C6 crystalline symmetry, the system can transition from a topologically trivial to a…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Chun-Wei Chen , Rajesh Chaunsali , Johan Christensen , Georgios Theocharis , Jinkyu Yang

Altermagnets hold great potential for spintronic applications, yet their intrinsic spin dynamics and associated transport properties remain largely unexplored. Here, we investigate spin-resolved quantum transport in a multi-terminal setup…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Li-Shuo Liu , Kai Shao , Hai-Dong Li , Xiangang Wan , Wei Chen , D. Y. Xing

We point out certain symmetry induced constraints on topological order in Mott Insulators (quantum magnets with an odd number of spin $\tfrac{1}{2}$ per unit cell). We show, for example, that the double semion topological order is…

Strongly Correlated Electrons · Physics 2015-04-21 Michael P. Zaletel , Ashvin Vishwanath

Topological insulators (TIs) are an unusual phase of quantum matter with nontrivial spin-momentum locked topological surface states (TSS). The electrical detection of spin-momentum locking of the TSS in 3D TIs has been lacking till very…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 Jifa Tian , Ireneusz Miotkowski , Seokmin Hong , Yong P. Chen

The central target of spintronics research is to achieve flexible control of highly efficient and spin-polarized electronic currents. Based on first-principles calculations and k-p models, we demonstrate that Cu2S/MnSe heterostructures are…

Materials Science · Physics 2019-01-04 Yang Xue , Bao Zhao , Yan Zhu , Tong Zhou , Jiayong Zhang , Ningbo Li , Hua Jiang , Zhongqin Yang