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Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely…

强关联电子 · 物理学 2023-05-25 Devendra Singh Bhakuni , Amrita Ghosh , Eytan Grosfeld

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…

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 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 demonstrate the existence of topological insulators in one dimension protected by mirror and time-reversal symmetries. They are characterized by a nontrivial $\mathbb{Z}_2$ topological invariant defined in terms of the "partial"…

介观与纳米尺度物理 · 物理学 2016-10-27 Alexander Lau , Jeroen van den Brink , Carmine Ortix

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 (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this letter, we consider a model for a three-dimensional (3D)…

介观与纳米尺度物理 · 物理学 2017-04-12 Srinidhi T. Ramamurthy , Yuxuan Wang , Taylor L. Hughes

Topological crystalline insulators are a class of materials with a bulk energy gap and edge or surface modes, which are protected by crystalline symmetry, at their boundaries. They have been realized in electronic systems: in particular, in…

介观与纳米尺度物理 · 物理学 2016-10-25 Jian-Xiao Zhang , Mikael C. Rechtsman , Chao-Xing Liu

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

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

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

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) 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 insulators represent a new class of quantum phase defined by invariant symmetries and spin-orbit coupling that guarantees metallic Dirac excitations at its surface. The discoveries of these states have sparked the hope of…

介观与纳米尺度物理 · 物理学 2013-06-10 Tanmoy Das , A. V. Balatsky

Three-dimensional topological insulators protected by both the time reversal (TR) and mirror symmetries were recently predicted and observed. Two-dimensional materials featuring this property and their potential for device applications have…

介观与纳米尺度物理 · 物理学 2019-01-30 Carlos Mera Acosta , Adalberto Fazzio

We consider an interface between two strong time-reversal invariant topological insulators having surface states with opposite spin chirality, or equivalently, opposite mirror Chern number. We show that such an interface supports gapless…

介观与纳米尺度物理 · 物理学 2019-06-26 Christophe De Beule , Rolando Saniz , Bart Partoens

Correlated topological materials often maintain a delicate balance among physical symmetries: many topological orders are symmetry protected, while most correlated phenomena arise from spontaneous symmetry breaking. It is rare to find cases…

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 model of three-dimensional topological insulators consisting of weakly coupled electron- and hole-gas layers with Rashba spin-orbit interaction stacked along a given axis. We show that in the presence of strong…

介观与纳米尺度物理 · 物理学 2017-08-23 Yanick Volpez , Daniel Loss , Jelena Klinovaja

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
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