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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

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

Quantum spin Hall insulators with a pair of helical edge states and proximity-induced superconductivity have been shown to support second-order topological superconductors with Majorana corner modes. As the Majorana corner modes are…

介观与纳米尺度物理 · 物理学 2024-10-10 Zhiwei Yin , Haoshu Li , Zhongbo Yan , Shaolong Wan

We propose a new method to numerically compute the $\mathbb{Z}_2$ indices for disordered topological insulators in Kitaev's periodic table. All of the $\mathbb{Z}_2$ indices are known to be derived from the index formulae which are…

介观与纳米尺度物理 · 物理学 2017-12-13 Yutaka Akagi , Hosho Katsura , Tohru Koma

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

介观与纳米尺度物理 · 物理学 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

In two-dimensional time-reversal symmetric topological insulators described by Dirac models, the ${\mathbb Z}_{2}$ topological invariant can be described by the spin Chern number. We present a linear response theory for the spin Berry…

强关联电子 · 物理学 2023-03-07 Wei Chen

The Chern number, as a topological invariant, characterizes the topological features of a 2D system and can be experimentally detected through Hall conductivity. In this work, we investigate the connection between the Chern number and the…

量子物理 · 物理学 2024-10-29 D. K. He , Y. B. Shi , Z. Song

Spin-orbit coupling has proven indispensable in realizing topological materials and more recently Ising pairing in two-dimensional superconductors. This pairing mechanism relies on inversion symmetry breaking and sustains anomalously large…

Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a finite band gap in the bulk and gapless, topologically…

介观与纳米尺度物理 · 物理学 2023-09-18 Davide Grassano , Davide Campi , Antimo Marrazzo , Nicola Marzari

Topology plays a crucial role in many physical systems, leading to interesting states at the surface. The paradigmatic example is the Chern number defined in the Brillouin zone that leads to the robust gapless edge states. Here we introduce…

介观与纳米尺度物理 · 物理学 2024-04-01 Yun-Chung Chen , Yu-Ping Lin , Ying-Jer Kao

The high-Chern number phases with a Chern number C>1 have been observed in a recent experiment that performed on the topological insulator (TI) multilayer structures, consisting of the alternating magnetic-doped and undoped TI layers. In…

介观与纳米尺度物理 · 物理学 2021-07-13 Yi-Xiang Wang , Fuxiang Li

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the…

超导电性 · 物理学 2015-01-29 Mathias S. Scheurer , Jörg Schmalian

We develop a theory of quantum spin Hall insulators with arbitrary spin $J$. Our analysis demonstrates that such systems support $J+\tfrac{1}{2}$ pairs of helical edge modes protected by nontrivial mirror Chern numbers. We establish that…

介观与纳米尺度物理 · 物理学 2026-04-21 Takuto Kawakami , Igor Kuzmenko , Yshai Avishai , Yigal Meir , Masatoshi Sato

We propose a universal theory for tunable second-order topological corner states induced by interlayer coupling in bilayer Chern insulators with opposite Chern numbers. We demonstrate that the existence of the topological corner state is…

介观与纳米尺度物理 · 物理学 2024-10-01 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

Lattice geometry continues providing exotic topological phases in condensed matter physics. Exciting recent examples are the higher-order topological phases, manifesting via localized lower-dimensional boundary states. Moreover, flat…

超导电性 · 物理学 2023-10-12 Narayan Mohanta , Rahul Soni , Satoshi Okamoto , Elbio Dagotto

The main focus of this paper is to analyze the behavior of a numerical solution of the Timoshenko system coupled with Thermoelasticity and incorporating second sound effects. In order to address this target, we employ the Physics-Informed…

数值分析 · 数学 2024-09-25 Sabrine Chebbi , Joseph Muthui Wacira , Makram Hamouda , Bubacarr Bah

Topological quantum phases of matter have been a topic of intense interest in contemporary condensed matter physics. Extensive efforts are devoted to investigate various exotic properties of topological matters including topological…

强关联电子 · 物理学 2015-11-25 Woo-Ram Lee , Kwon Park

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

应用物理 · 物理学 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

The Chern number has been widely used to describe the topological properties of periodic structures in the momentum space. Here, we introduce a real-space spin Chern number for the optical near fields of finite-sized structures. This new…

光学 · 物理学 2024-05-03 Tong Fu , Ruo-Yang Zhang , Shiqi Jia , C. T. Chan , Shubo Wang

Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

强关联电子 · 物理学 2011-06-01 K. -S. Park , H. Han
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