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Monolayer WTe$_2$, a centrosymmetric transition metal dichacogenide, has recently been established as a quantum spin Hall insulator and found superconducting upon gating. Here we study the pairing symmetry and topological nature of…

Superconductivity · Physics 2020-09-07 Yi-Ting Hsu , William S. Cole , Rui-Xing Zhang , Jay D. Sau

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

We consider a system consisting of two tunnel-coupled two-dimensional topological insulators proximitized by a top and bottom superconductor with a phase difference of $\pi$ between them. We show that this system exhibits a time-reversal…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 Katharina Laubscher , Danial Chughtai , Daniel Loss , Jelena Klinovaja

Higher-order topological insulators in two dimensions have states that localize at their corners, called corner states. In this paper, we reveal characteristics of the penetration depth of their corner states by using the…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Nobuhiro Arai , Shuichi Murakami

We investigate bilayer and trilayer systems composed of topologically distinct, vertically stacked layers, forming topological heterostructures based on the Benalcazar-Bernevig-Hughes model. We find that a topological phase transition…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Natsuko Ishida , Motohiko Ezawa , Guangtai Lu , Wenbo Lin , Yasutomo Ota , Yasuhiko Arakawa , Satoshi Iwamoto

Recently, higher-order topological phases that do not obey the usual bulk-edge correspondence principle have been introduced in electronic insulators and brought into classical systems, featuring with in-gap corner/hinge states. So far,…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Xiao-Dong Chen , Wei-Min Deng , Fu-Long Shi , Fu-Li Zhao , Min Chen , Jian-Wen Dong

Higher-order topological insulators harbor unique corner modes that hold immense potential for applications in information storage. However, the practical manipulation of these states has been constrained by the fixed positions and energies…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Rui Chen , Bin Zhou , Dong-Hui Xu

The interplay between ferroelectricity and band topology can give rise to a wide range of both fundamental and applied research. Here, we map out the emergence of nontrivial corner states in two-dimensional ferroelectrics, and remarkably…

Materials Science · Physics 2023-02-01 Ning Mao , Runhan Li , Xiaorong Zou , Ying Dai , Baibiao Huang , Chengwang Niu

Second-order photonic topological insulators that host highly localized corner states resilient to defects, are opening new routes towards developing fascinating photonic devices. However, the existing works on second-order photonic…

Optics · Physics 2021-12-02 Yafeng Chen , Fei Meng , Zhihao Lan , Baohua Jia , Xiaodong Huang

Second-order topological insulator, which has (d-2)-dimensional topological hinge or corner states, has been observed in three-dimensional materials, but has yet not been observed in two-dimensional system. In this Letter, we theoretically…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Zheng Liu , Yafei Ren , Yulei Han , Qian Niu , Zhenhua Qiao

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

Different from the traditional bulk-edge correspondence principle, the discovery of higher-order topological states has generated widespread interest. In a second-order, two-dimensional elastic wave topological insulator, the fluctuation…

Applied Physics · Physics 2023-01-10 Ze Ma , Yang Liu , Yu-Xin Xie , Yue-Sheng Wang

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…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Zhiwei Yin , Haoshu Li , Zhongbo Yan , Shaolong Wan

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…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , J. E. Moore

We study the effects of periodic driving on a variant of the Bernevig-Hughes-Zhang (BHZ) model defined on a square lattice. In the absence of driving, the model has both topological and nontopological phases depending on the different…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Ranjani Seshadri , Anirban Dutta , Diptiman Sen

We propose a new type of instanton interference effect in two-dimensional higher-order topological insulators. The intercorner tunneling consists of the instanton and the anti-instanton pairs that travel through the boundary of the…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Moon Jip Park , Sunam Jeon , SungBin Lee , Hee Chul Park , Youngkuk Kim

Higher-order topological insulators, which support lower-dimensional topological boundary states than the first-order topological insulators, have been intensely investigated in the integer dimensional systems. Here, we provide a new…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Junkai Li , Qingyang Mo , Jian-Hua Jiang , Zhaoju Yang

We prove the existence of higher-order topological insulators with protected chiral hinge modes in quasi-two-dimensional systems made out of coupled layers stacked in an inversion-symmetric manner. In particular, we show that an external…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Sander H. Kooi , Guido van Miert , Carmine Ortix

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

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…

Mesoscale and Nanoscale Physics · Physics 2016-09-27 I. C. Fulga , N. Avraham , H. Beidenkopf , A. Stern