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Topological insulators are noninteracting, gapped fermionic systems which have gapless boundary excitations. They are characterized by topological invariants, which can be written in many different ways, including in terms of Green's…

介观与纳米尺度物理 · 物理学 2011-09-29 Andrew M. Essin , Victor Gurarie

We prove a general theorem on the relation between the bulk topological quantum number and the edge states in two dimensional insulators. It is shown that whenever there is a topological order in bulk, characterized by a non-vanishing Chern…

介观与纳米尺度物理 · 物理学 2009-11-11 Xiao-Liang Qi , Yong-Shi Wu , Shou-Cheng Zhang

Quantum spin Hall insulators are characterized by topologically protected counterpropagating edge states. Here we study the dynamical response of these helical edge states under a time-dependent flux biasing, in the presence of a heat bath.…

介观与纳米尺度物理 · 物理学 2014-11-11 Doru Sticlet , Jérôme Cayssol

In a closed system, it is well known that the time-reversal symmetry can lead to Kramers degeneracy and protect nontrivial topological states such as quantum spin Hall insulator. In this letter we address the issue whether these effects are…

介观与纳米尺度物理 · 物理学 2021-08-25 Tian-Shu Deng , Lei Pan , Yu Chen , Hui Zhai

We evidence the possibility for coherent electrical manipulation of the spin orientation of topologically protected edge states in a low-symmetry quantum spin Hall insulator. By using a combination of ab-initio simulations, symmetry-based…

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

介观与纳米尺度物理 · 物理学 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

The study of topological band insulators has revealed fascinating phases characterized by band topology indices and anomalous boundary modes protected by global symmetries. In strongly correlated systems, where the traditional notion of…

强关联电子 · 物理学 2025-06-12 Chao Xu , Yixin Ma , Shenghan Jiang

Harnessing topological phases with their dissipationless edge-channels coupled with the effective engineering of quantum phase transitions is a spinal aspect of topological electronics. The accompanying symmetry protection leads to…

介观与纳米尺度物理 · 物理学 2023-05-19 Siddhant Midha , Koustav Jana , Bhaskaran Muralidharan

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

介观与纳米尺度物理 · 物理学 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal…

数学物理 · 物理学 2016-10-27 Hermann Schulz-Baldes

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

介观与纳米尺度物理 · 物理学 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

介观与纳米尺度物理 · 物理学 2017-08-18 Arijit Saha , Arun M. Jayannavar

The existence of gapless boundary states is a key attribute of any topological insulator. Topological band theory predicts that these states are robust against static perturbations that preserve the relevant symmetries. In this article,…

介观与纳米尺度物理 · 物理学 2017-08-14 Oleksandr Balabanov , Henrik Johannesson

The quantum anomalous Hall (QAH) effect has been recently discovered in experiment using thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH…

介观与纳米尺度物理 · 物理学 2014-09-30 Jiansheng Wu , Jie Liu , Xiong-Jun Liu

Many examples from quantum and classical physics are known where topological protection is responsible for the robustness of the dynamics. Less explored is the role of topological protection in the context of classical oscillatory systems.…

适应与自组织系统 · 物理学 2025-08-07 Sayantan Nag Chowdhury , Hildegard Meyer-Ortmanns

The interplay between non-Hermiticity and topology opens an exciting avenue for engineering novel topological matter with unprecedented properties. While previous studies have mainly focused on one-dimensional systems or Chern insulators,…

介观与纳米尺度物理 · 物理学 2021-05-12 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

Chiral surface states in topological insulators are robust against interactions, non-magnetic disorder and localization, yet topology does not yield protection in transport. This work presents a theory of interacting topological insulators…

介观与纳米尺度物理 · 物理学 2015-03-19 Dimitrie Culcer

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

材料科学 · 物理学 2011-03-15 Liang Fu

We generalize Laughlin's flux insertion argument, originally discussed in the context of the quantum Hall effect, to topological phases protected by non-on-site unitary symmetries, in particular by parity symmetry or parity symmetry…

强关联电子 · 物理学 2015-06-19 Chang-Tse Hsieh , Olabode Mayodele Sule , Gil Young Cho , Shinsei Ryu , Robert G. Leigh

Quantum spin-hall insulator (QSHI) processes nontrivial topology. We notice that the electronic structures of some particular QSHIs are favorable for realization of excitonic insulators (EIs). Using first-principles many-body perturbation…

材料科学 · 物理学 2023-04-04 Huaiyuan Yang , Jiaxi Zeng , Yuelin Shao , Yuanfeng Xu , Xi Dai , Xin-Zheng Li