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Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary correspondence then links the topological properties of the bulk…

介观与纳米尺度物理 · 物理学 2024-12-24 Gengming Liu , Violet Workman , Jiho Noh , Yuhao Ma , Taylor L. Hughes , Wladimir A. Benalcazar , Gaurav Bahl

Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the…

材料科学 · 物理学 2012-08-01 Timothy H. Hsieh , Hsin Lin , Junwei Liu , Wenhui Duan , Arun Bansil , Liang Fu

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 discuss recent advances in the study of topological insulators protected by spatial symmetries by reviewing three representative, theoretical examples. In three dimensions, these states of matter are generally characterized by the…

介观与纳米尺度物理 · 物理学 2019-06-12 Alexander Lau , Carmine Ortix

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

介观与纳米尺度物理 · 物理学 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

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

Topological insulators materialize a topological quantum state of matter where unusual gapless metallic state protected by time-reversal symmetry appears at the edge or surface. Their discovery stimulated the search for new topological…

介观与纳米尺度物理 · 物理学 2015-06-05 Y. Tanaka , Zhi Ren , T. Sato , K. Nakayama , S. Souma , T. Takahashi , Kouji Segawa , Yoichi Ando

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

We show that gated bilayer graphene hosts a strong topological insulator (TI) phase in the presence of Rashba spin-orbit (SO) coupling. We find that gated bilayer graphene under preserved time-reversal symmetry is a quantum valley Hall…

材料科学 · 物理学 2011-12-15 Zhenhua Qiao , Wang-Kong Tse , Hua Jiang , Yugui Yao , Qian Niu

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators…

The electronic band structure of iron pnictides exhibits four Dirac cones, which are due to crystal symmetry and orbital bonding orientation. This hallmark signature presents the pnictide family as an ideal candidate in the search for…

介观与纳米尺度物理 · 物理学 2015-03-24 Yuan-Yen Tai , Cheng-Ching Joseph Wang , Matthias J. Graf , Jian-Xin Zhu , C. S. Ting

Low-dimensional electronic systems have traditionally been obtained by electrostatically confining electrons, either in heterostructures or in intrinsically nanoscale materials such as single molecules, nanowires, and graphene. Recently, a…

介观与纳米尺度物理 · 物理学 2014-02-12 A. F. Young , J. D. Sanchez-Yamagishi , B. Hunt , S. H. Choi , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

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

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 insulator (TCI) is a recently-discovered topological phase of matter. It possesses multiple Dirac surface states, which are protected by the crystal symmetry. This is in contrast to the time reversal symmetry that is…

介观与纳米尺度物理 · 物理学 2018-03-15 Fei Wang , Hongrui Zhang , Jue Jiang , Yi-Fan Zhao , Jia Yu , Wei Liu , Da Li , Moses H. W. Chan , Jirong Sun , Zhidong Zhang , Cui-Zu Chang

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

The studies of topological phases of matter have been extended from condensed matter physics to photonic systems, resulting in fascinating designs of robust photonic devices. Recently, higher-order topological insulators (HOTIs) have been…

介观与纳米尺度物理 · 物理学 2019-06-19 Bi-Ye Xie , Guang-Xu Su , Hong-Fei Wang , Hai Su , Xiao-Peng Shen , Peng Zhan , Ming-Hui Lu , Zhen-Lin Wang , Yan-Feng Chen

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

介观与纳米尺度物理 · 物理学 2015-03-13 M. Z. Hasan , C. L. Kane

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

介观与纳米尺度物理 · 物理学 2017-10-03 Adhip Agarwala , Vijay B. Shenoy