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We prove theoretically that certain strongly correlated Kondo insulators are topological crystalline insulators with nontrivial topology protected by crystal symmetries. In particular, we find that SmB$_6$ is such a material. In addition to…

强关联电子 · 物理学 2013-07-30 Mengxing Ye , J. W. Allen , Kai Sun

Topological crystalline insulators define a new class of topological insulator phases with gapless surface states protected by crystalline symmetries. In this work, we present a general theory to classify topological crystalline insulator…

介观与纳米尺度物理 · 物理学 2016-01-29 Xiao-Yu Dong , Chao-Xing Liu

We study what kind of topological crystalline insulator phase emerges from nodal line semimetal phases in the face-centered cubic system which is not indicated by topological indices when spin-orbit coupling (SOC) is introduced. We…

介观与纳米尺度物理 · 物理学 2020-11-24 Ikuma Tateishi

The electronic structures of two mixed valence insulators YbB$_6$ and YbB$_12$ are studied by using the local density approximation (LDA) supplemented with the Gutzwiller method and dynamic mean field theory (DMFT). YbB$_6$ is found to be a…

强关联电子 · 物理学 2014-01-20 Hongming Weng , Jianzhou Zhao , Zhijun Wang , Zhong Fang , Xi Dai

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi$_{2n}$Te$_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological…

介观与纳米尺度物理 · 物理学 2025-09-17 Gabriele Naselli , Ion Cosma Fulga

SmB6 is a strongly correlated material that has been attributed as a topological insulator and a Kondo insulator. Recent studies have found the topological surface states and low temperature insulating character to be profoundly robust…

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

We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase…

量子气体 · 物理学 2025-05-29 Jing-Xin Liu , Jian-Te Wang , Shi-Liang Zhu

Topological insulators give rise to exquisite electronic properties due to their spin-momentum locked Dirac-cone-like band structure. Recently, it has been suggested that the required opposite parities between valence and conduction band…

强关联电子 · 物理学 2017-01-12 Lin Jiao , Sahana Rößler , D. J. Kim , L. H. Tjeng , Z. Fisk , F. Steglich , S. Wirth

We explore the 32 crystallographic point groups and identify topological phases of matter with robust surface modes. For n =3,4 and 6 of the C_{nv} groups, we find the first-known 3D topological insulators without spin-orbit coupling, and…

强关联电子 · 物理学 2014-09-17 A. Alexandradinata , Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

The concept of a topological Kondo insulator (TKI) has been brought forward as a new class of topological insulators in which non-trivial surface states reside in the bulk Kondo band gap at low temperature due to the strong spin-orbit…

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

We construct a lattice model for a cubic Kondo insulator consisting of one spin-degenerate $d$ and $f$ orbital at each lattice site. The odd-parity hybridization between the two orbitals permits us to obtain various trivial and topological…

强关联电子 · 物理学 2014-02-13 Markus Legner , Andreas Rüegg , Manfred Sigrist

Topological insulators are materials characterized by dissipationless, spin-polarized surface states resulting from non-trivial band topologies. Recent theoretical models and experiments suggest that SmB6 is the first topological Kondo…

We discuss the evolution of topological states and their orbital textures in the mixed valence compounds SmB6 and YbB6 within the framework of the generalized gradient approximation plus onsite Coulomb interaction (GGA+U) scheme for a wide…

Employing the $\mathbf{k}\cdot\mathbf{p}$ expansion for a family of tight-binding models for SmB$_6$, we analytically compute topological surface states on a generic $(lmn)$ surface. We show how the Dirac-cone spin structure depends on…

强关联电子 · 物理学 2016-05-12 Pier Paolo Baruselli , Matthias Vojta

Topological Kondo insulators are a new class of topological insulators in which metallic surface states protected by topological invariants reside in the bulk band gap at low temperatures. Unlike other three-dimensional topological…

强关联电子 · 物理学 2016-07-12 N. Xu , H. Ding , M. Shi

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

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…

介观与纳米尺度物理 · 物理学 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

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
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