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Topological crystalline phases in electronic structures can be generally classified using the spatial symmetry characters of the valence bands and mapping them onto appropriate symmetry indicators. These mappings have been recently applied…

介观与纳米尺度物理 · 物理学 2019-10-02 Sander H. Kooi , Guido van Miert , Carmine Ortix

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

介观与纳米尺度物理 · 物理学 2021-04-30 Titus Neupert , Frank Schindler

Two dimensional (2D) topological insulators (TIs) and topological superconductors (TSCs) have been intensively studied for recent years due to its great potential for dissipationless electron transportation and fault-tolerant quantum…

材料科学 · 物理学 2020-07-28 Chenxiao Zhao , Jinfeng Jia

Topological crystalline insulators (TCIs) are nontrivial quantum phases of matter protected by crystalline (and other) symmetries. They are originally predicted by band theories, so an important question is their stability under…

强关联电子 · 物理学 2018-01-17 Liujun Zou

Based on first-principles calculations and symmetry-based indicator analysis, we find a class of topological crystalline insulators (TCIs) with $C_2$ rotation anomaly in a family of Zintl compounds, including…

材料科学 · 物理学 2019-08-14 Tan Zhang , Changming Yue , Tiantian Zhang , Simin Nie , Zhijun Wang , Chen Fang , Hongming Weng , Zhong Fang

In condensed matter physics, symmetry profoundly governs the fundamentals of topological matter. The emergence of new topological phase is typically linked to the enrichment of symmetries. Different parity-time symmetry relations…

介观与纳米尺度物理 · 物理学 2022-09-15 Xiao Xiang , Feng Gao , Yugui Peng , Qili Sun , Jie Zhu , Xuefeng Zhu

Understanding crystal shapes is a fundamental subject in surface science. It is now well studied how chemical bondings determine crystal shapes via dependence of surface energies on surface orientations. Meanwhile, discoveries of…

介观与纳米尺度物理 · 物理学 2022-08-16 Yutaro Tanaka , Tiantian Zhang , Makio Uwaha , Shuichi Murakami

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

A second-order topological insulator (SOTI) in $d$ spatial dimensions features topologically protected gapless states at its $(d-2)$-dimensional boundary at the intersection of two crystal faces, but is gapped otherwise. As a novel…

介观与纳米尺度物理 · 物理学 2020-01-06 Xian-Lei Sheng , Cong Chen , Huiying Liu , Ziyu Chen , Zhi-Ming Yu , Y. X. Zhao , Shengyuan A. Yang

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

Topological classification in our previous paper [K. Shiozaki and M. Sato, Phys. Rev. B ${\bf 90}$, 165114 (2014)] is extended to nonsymmorphic crystalline insulators and superconductors. Using the twisted equivariant $K$-theory, we…

介观与纳米尺度物理 · 物理学 2016-05-12 Ken Shiozaki , Masatoshi Sato , Kiyonori Gomi

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

介观与纳米尺度物理 · 物理学 2009-12-16 Andrew M. Essin , J. E. Moore

Nonmagnetic topological insulators (TIs) are known for their robust metallic surface/edge states that are protected by time-reversal symmetry, making them promising candidates for next-generation spintronic and nanoelectronic devices.…

介观与纳米尺度物理 · 物理学 2025-11-14 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

Prototypical three-dimensional topological insulators of the Bi$_2$Se$_3$ family provide a beautiful example of the appearance of the surface states inside the bulk band gap caused by spin-orbit coupling-induced topology. The surface states…

介观与纳米尺度物理 · 物理学 2020-10-27 Klaus Zollner , Jaroslav Fabian

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

Atomic monolayers on semiconductor surfaces represent a new class of functional quantum materials at the ultimate two-dimensional limit, ranging from superconductors [1, 2] to Mott insulators [3, 4] and ferroelectrics [5] to quantum spin…

The two-dimensional electron systems in graphene and in topological insulators are described by massless Dirac equations. Although the two systems have similar Hamiltonians, they are polar opposites in terms of spin-orbit coupling strength.…

介观与纳米尺度物理 · 物理学 2013-08-16 D. A. Pesin , A. H. MacDonald

Further development of the field of all-electric spintronics requires the successful integration of spin transport channels with spin injector/generator elements. While with the advent of graphene and related 2D materials high performance…

介观与纳米尺度物理 · 物理学 2016-03-30 Kristina Vaklinova , Alexander Hoyer , Marko Burghard , Klaus Kern

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

A topological crystalline insulator (TCI) is a new phase of topological matter, which is predicted to exhibit distinct topological quantum phenomena, since space group symmetries replace the role of time-reversal symmetry in the…