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Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

We show that the fundamental time reversal invariant (TRI) insulator exists in 4+1 dimensions, where the effective field theory is described by the 4+1 dimensional Chern-Simons theory and the topological properties of the electronic…

介观与纳米尺度物理 · 物理学 2009-11-13 Xiao-Liang Qi , Taylor Hughes , Shou-Cheng Zhang

Dual topological insulators (DTIs) are simultaneously protected by time-reversal and crystal symmetries, representing advantageous alternatives to conventional topological insulators. By combining ab initio calculations and the…

介观与纳米尺度物理 · 物理学 2025-02-24 Warlley H. Campos , Poliana H. Penteado , Julian Zanon , Paulo E. Faria Junior , Denis R. Candido , J. Carlos Egues

Two-dimensional (2D) metallic altermagnets present exciting opportunities for both fundamental research and practical innovations. Their ability to enhance tunneling magnetoresistance in magnetic tunnel junctions, combined with the direct…

介观与纳米尺度物理 · 物理学 2026-02-24 Raghottam M. Sattigeri , Xujia Gong , Amar Fakhredine , Carmine Autieri , Giuseppe Cuono

The isospin flavors in condensed matters can be continuously broken, forming various symmetry-broken quantum states. In moir\'e crystals, the competition between different isospin configurations can be effectively tuned by the twist angles…

介观与纳米尺度物理 · 物理学 2026-01-08 Wenxuan Wang , Yijie Wang , Zaizhe Zhang , Zihao Huo , Gengdong Zhou , Kenji Watanabe , Takashi Taniguchi , X. C. Xie , Kaihui Liu , Zhida Song , Xiaobo Lu

$Z_{2}$ and Chern topological phases such as newly discovered quantum spin Hall and original quantum Hall states hardly both co--exist in a single material due to their contradictory requirement on the time--reversal symmetry (TRS). We show…

介观与纳米尺度物理 · 物理学 2016-03-15 Shu-Ting Pi , Sergey Savrasov

We introduce a coupled-layer construction to describe three-dimensional topological crystalline insulators protected by reflection symmetry. Our approach uses stacks of weakly-coupled two-dimensional Chern insulators to produce topological…

介观与纳米尺度物理 · 物理学 2016-09-27 I. C. Fulga , N. Avraham , H. Beidenkopf , A. Stern

Different from the two-dimensional (2D) topological insulator, the 2D topological crystalline insulator (TCI) phase disappears when the mirror symmetry is broken, e.g., upon placing on a substrate. Here, based on a new family of 2D TCIs -…

介观与纳米尺度物理 · 物理学 2015-06-11 C. Niu , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blugel , Y. Mokrousov

We explore the phase diagrams of moir\'e materials in search of a new class of intervalley-coherent correlated insulating state: the Chern texture insulator (CTI). This phase of matter, proposed in a companion paper, breaks valley $U(1)$…

强关联电子 · 物理学 2026-03-20 Ziwei Wang , Yves H. Kwan , Glenn Wagner , Steven H. Simon , Nick Bultinck , S. A. Parameswaran

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

介观与纳米尺度物理 · 物理学 2019-10-10 Rui-An Chang , Ching-Ray Chang

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

材料科学 · 物理学 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

We study the time reversal (T) symmetry breaking of 2d helical fermi liquid, with application to the edge states of 3d topological band insulators with only one two-component Dirac fermion at finite chemical potential, as well as other…

强关联电子 · 物理学 2015-05-13 Cenke Xu

Three-dimensional 3rd-order topological insulators (TOTIs) and superconductors (TOTSCs), as the highestorder topological phases hosting zero corner modes in physical dimension, has sparked extensive research interest. However, such…

介观与纳米尺度物理 · 物理学 2024-03-04 Zhi-Hao Huang , Yi Tan , Wei Jia , Long Zhang , Xiong-Jun Liu

The hallmark of topological insulators is the scatter-free propagation of waves in topologically protected edge channels. This transport is strictly chiral on the outer edge of the medium, and therefore capable of bypassing sharp corners…

We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multi-valley Dirac fermion surface states. We find that…

强关联电子 · 物理学 2015-08-19 Hiroki Isobe , Liang Fu

The spontaneous breaking of time-reversal symmetry due to purely-orbital mechanisms (i.e.~not involving spin degrees of freedom) yields extremely exotic phases of matter such as Chern insulators and chiral superconductors. In this Letter,…

强关联电子 · 物理学 2024-03-05 Giacomo Mazza , Marco Polini

Topological nodal-line semimetals (TNLSs) exhibit exotic physical phenomena due to a one-dimensional (1D) band touching line, rather than discrete (Dirac or Weyl) points. While so far proposed two-dimensional (2D) TNLSs possess closed nodal…

Regarding three-dimensional (3D) topological insulators and semimetals as a stack of constituent 2D topological (or sometimes non-topological) layers is a useful viewpoint. Primarily, concrete theoretical models of the paradigmatic 3D…

介观与纳米尺度物理 · 物理学 2016-12-20 Yukinori Yoshimura , Wataru Onishi , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

强关联电子 · 物理学 2019-05-01 Hyeok-Jun Yang , SungBin Lee

Topological crystalline insulators are topological insulators whose surface states are protected by the crystalline symmetry, instead of the time reversal symmetry. Similar to the first generation of three-dimensional topological insulators…

材料科学 · 物理学 2015-06-23 Jie Shen , Judy J. Cha