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The topological invariants of a time-reversal-invariant band structure in two dimensions are multiple copies of the $\mathbb{Z}_2$ invariant found by Kane and Mele. Such invariants protect the topological insulator and give rise to a spin…

介观与纳米尺度物理 · 物理学 2013-05-29 J. E. Moore , L. Balents

Exponentially localized surface states are the most distinctive property of a crystal with non-trivial band topology. Such surface states play a key role in characterizing topological insulators (TIs), both in theory and experiments. TIs…

强关联电子 · 物理学 2021-10-29 Shouvik Sur , Pallab Goswami

In a topological crystalline insulator (TCI) the inversion of the bulk valence and conduction bands is a necessary condition to observe surface metallic states. Solid solutions of Pb$_{1-x}$Sn$_x$Te have been shown to be TCI, where band…

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

材料科学 · 物理学 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

Topological insulators are characterized by a nontrivial band topology driven by the spin-orbit coupling. To fully explore the fundamental science and application of topological insulators, material realization is indispensable. Here we…

材料科学 · 物理学 2011-12-30 Di Xiao , Wenguang Zhu , Ying Ran , Naoto Nagaosa , Satoshi Okamoto

We study equilibrium crystal shapes of a topological insulator (TI), a topological crystalline insulator (TCI) protected by mirror symmetry, and a second-order topological insulator (SOTI) protected by inversion symmetry. By adding magnetic…

介观与纳米尺度物理 · 物理学 2023-07-04 Yutaro Tanaka , Shuichi Murakami

We examine the effect of a spin-active interface on the symmetry of proximity-induced superconducting pairing amplitudes in topological insulators. We develop a model to investigate the leading order contribution to the pairing amplitude…

超导电性 · 物理学 2014-04-22 Christopher Triola , E. Rossi , Alexander V. Balatsky

Spin-orbit (SO) coupling -- the interaction between a quantum particle's spin and its momentum -- is ubiquitous in nature, from atoms to solids. In condensed matter systems, SO coupling is crucial for the spin-Hall effect and topological…

量子气体 · 物理学 2015-03-19 Y. -J. Lin , K. Jiménez-García , I. B. Spielman

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

介观与纳米尺度物理 · 物理学 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

Twisted bilayer structures have emerged as a fascinating arena in condensed matter thanks to their highly tunable physics. The role of spin-orbit coupling (SOC) in twisted bilayers has gained increasing attention due to its potential for…

介观与纳米尺度物理 · 物理学 2024-07-25 Ludovica Zullo , Domenico Ninno , Giovanni Cantele

The method of the space dependent basis is applied to study electronic spinors in a crystal. The crystal in the momentum space is described by the Brillouine zone which might contains obstructions or degeneracies for which requires…

介观与纳米尺度物理 · 物理学 2015-08-04 D. Schmeltzer

This article explore the behavior of singlet pairs in Inorganic crystals and take the Ti-Ti and Bi-Bi dimer for example, including the transition in critical temperture by directly or indirectly. Through the analysis, It is proposed that…

强关联电子 · 物理学 2017-07-31 Chen-Huan Wu

The proximity-induced spin-orbit coupling (SOC) in heterostructures of twisted graphene and topological insulators (TIs) Bi$_2$Se$_3$ and Bi$_2$Te$_3$ is investigated from first principles. To build commensurate supercells, we strain…

介观与纳米尺度物理 · 物理学 2023-06-07 Thomas Naimer , Jaroslav Fabian

We study the superconducting state of multi-orbital spin-orbit coupled systems in the presence of an orbitally driven inversion asymmetry assuming that the inter-orbital attraction is the dominant pairing channel. Although the inversion…

超导电性 · 物理学 2018-06-06 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

Monolayer transition metal dichalcogenides (TMDs) with strong spin-orbit coupling combined with broken inversion symmetry, leading to a coupling of spin and valley degrees of freedom, make these materials highly interesting for potential…

介观与纳米尺度物理 · 物理学 2020-09-23 Liang Xilong , Qin Chengbing , Gao Yan , Han Shuangping , Zhang Guofeng , Chen Ruiyun , Hu Jianyong , Xiao Liantuan , Jia Suotang

The current article investigated the band structure in the presence and absence of spin-orbit coupling (SOC), examined the Z2 invariants, and investigated the detailed angle-dependent magneto-transport of up to 10 T (Tesla) and down to 2 K…

材料科学 · 物理学 2024-07-10 N. K. Karn , Yogesh Kumar , Geet Awana , V. P. S. Awana

Topological insulator (TI) surface states exert strong spin-orbit torques. When the magnetization is in the plane its interaction with the TI conduction electrons is non-trivial, and is influenced by extrinsic spin-orbit scattering. This is…

介观与纳米尺度物理 · 物理学 2024-06-17 Mohsen Farokhnezhad , James H. Cullen , Dimitrie Culcer

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

介观与纳米尺度物理 · 物理学 2019-07-29 Robert-Jan Slager

The band inversion has led to rich physical effects in both topological insulators and topological semimetals. It has been found that the inverted band structure with the Mexican-hat dispersion could enhance the interband correlation…

介观与纳米尺度物理 · 物理学 2018-01-03 Furu Zhang , Jianhui Zhou , Di Xiao , Yugui Yao

The band structure of two-dimensional artificial superlattices in the presence of (Rashba-type) spin-orbit interaction (SOI) is presented. The position and shape of the energy bands in these spintronic crystals depend on the geometry as…

介观与纳米尺度物理 · 物理学 2015-06-24 Peter Foldi , Viktor Szaszko-Bogar , F. M. Peeters