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Quantized responses are important tools for understanding and characterizing the universal features of topological phases of matter. In this work, we consider a class of topological crystalline insulators in $3$D with $C_n$ lattice rotation…

强关联电子 · 物理学 2023-06-07 Julian May-Mann , Mark R. Hirsbrunner , Xuchen Cao , Taylor L. Hughes

Topological crystalline insulators (TCIs) are insulating materials whose topological property relies on generic crystalline symmetries. Based on first-principles calculations, we study a three-dimensional (3D) crystal constructed by…

材料科学 · 物理学 2015-12-03 Youngkuk Kim , C. L. Kane , E. J. Mele , Andrew M. Rappe

Topological crystalline insulators (TCI) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have provided powerful guidelines to search for TCIs in real…

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

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single…

介观与纳米尺度物理 · 物理学 2015-04-16 Chen Fang , Liang Fu

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

强关联电子 · 物理学 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

Topological materials with both insulating and semimetal phases can be protected by crystalline (e.g. mirror) symmetry. The insulating phase, called topological crystalline insulator (TCI), has been intensively investigated and observed in…

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

Topological crystalline insulators (TCIs) can host anomalous surface states which inherits the characteristics of crystalline symmetry that protects the bulk topology. Especially, the diversity of magnetic crystalline symmetries indicates…

介观与纳米尺度物理 · 物理学 2023-04-27 Yoonseok Hwang , Yuting Qian , Junha Kang , Jehyun Lee , Dongchoon Ryu , Hong Chul Choi , Bohm-Jung Yang

We introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call "topological crystalline magnet." It is protected by the product of the time-reversal…

强关联电子 · 物理学 2017-03-08 Haruki Watanabe , Liang Fu

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

材料科学 · 物理学 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

We propose magnonic analogs of topological crystalline insulators which possess Dirac surface states protected by the combined symmetry of time-reversal and half translation. Constructing models of the topological magnon systems, we…

介观与纳米尺度物理 · 物理学 2021-10-26 Hiroki Kondo , Yutaka Akagi

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

介观与纳米尺度物理 · 物理学 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

Recent attempts at topological materials have revealed a large class of materials that show gapless surface states protected by time-reversal symmetry and crystal symmetries. Among them, topological insulating states protected by crystal…

材料科学 · 物理学 2023-03-20 J. Howard , A. Rodriguez , N. Haldolaarachchige , K. Hettiarachchilage

We predict a new class of topological crystalline insulators (TCI) in the anti-perovskite material family with the chemical formula A$_3$BX. Here the nontrivial topology arises from band inversion between two $J=3/2$ quartets, which is…

强关联电子 · 物理学 2014-09-02 Timothy H. Hsieh , Junwei Liu , Liang Fu

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

介观与纳米尺度物理 · 物理学 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

介观与纳米尺度物理 · 物理学 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

We propose a minimal tight-binding model for thin films made of topological crystalline insulator (TCI) on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin-orbit interaction describing a Weyl…

介观与纳米尺度物理 · 物理学 2014-07-02 Motohiko Ezawa
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