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We study the possibility of realizing robust helical surface states in $Z_2=0$ systems. We find that the combination of anisotropy and finite-size confinement leads to the emergence of robust helical edge states in both 2D and 3D $Z_2=0$…

介观与纳米尺度物理 · 物理学 2017-11-30 Hua Jiang , Haiwen Liu , Ji Feng , Qingfeng Sun , X. C. Xie

We theoretically investigate the engineering of two-dimensional second-order topological insulators with corner states by coupling two first-order topological insulators. We find that the interlayer coupling between two topological…

介观与纳米尺度物理 · 物理学 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

介观与纳米尺度物理 · 物理学 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

介观与纳米尺度物理 · 物理学 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

Topological metamaterials have invaded the mechanical world, demonstrating acoustic cloaking and waveguiding at finite frequencies and variable, tunable elastic response at zero frequency. Zero frequency topological states have previously…

软凝聚态物质 · 物理学 2018-12-05 Adrien Saremi , D. Zeb Rocklin

We study the Kane-Mele-Hubbard model with an additional inversion-symmetry-breaking term. Using the topological Hamiltonian approach, we calculate the $\mathbb{Z}_2$ invariant of the system as function of spin-orbit coupling, Hubbard…

强关联电子 · 物理学 2016-12-14 Robert Triebl , Markus Aichhorn

We derived analytical results for the gapless edge states of two-dimensional topological insulators in the presence of electron-surface optical (SO) phonon interaction due to substrates. We followed an analytical algorithm, called…

介观与纳米尺度物理 · 物理学 2019-12-18 B. S. Kandemir , S. Atag

The Bernevig-Hughes-Zhang (BHZ) model, which serves as a cornerstone in the study of the quantum spin Hall insulators, showcases robust spin-filtered helical edge states in a nanoribbon geometry. In the presence of an in-plane magnetic…

介观与纳米尺度物理 · 物理学 2024-09-18 Dipendu Halder , Srijata Lahiri , Saurabh Basu

In a blueprint for topological electronics, edge state transport in a topological insulator material can be controlled by employing a gate-induced topological quantum phase transition. Here, by studying the width dependence of electronic…

介观与纳米尺度物理 · 物理学 2022-03-08 Muhammad Nadeem , Chao Zhang , Dimitrie Culcer , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

The two-dimensional topological insulating phase has been experimentally discovered in HgTe quantum wells (QWs). The low-energy physics of two-dimensional topological insulators (TIs) is described by the Bernevig-Hughes-Zhang (BHZ) model,…

介观与纳米尺度物理 · 物理学 2012-11-26 P. Michetti , P. H. Penteado , J. C. Egues , P. Recher

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

强关联电子 · 物理学 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

介观与纳米尺度物理 · 物理学 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems…

强关联电子 · 物理学 2024-09-17 Rahul Soni , Harini Radhakrishnan , Bernd Rosenow , Gonzalo Alvarez , Adrian Del Maestro

Recent angle-resolved photoemission experiments have observed a proximity-induced superconducting gap in the helical surface states of a thin film of the 3D topological insulator Bi$_2$Se$_3$ grown on a superconducting NbSe$_2$ substrate.…

超导电性 · 物理学 2016-12-21 Isil Ozfidan , Jinsen Han , Joseph Maciejko

It was known that for non-Hermitian topological systems due to the non-Hermitian skin effect, the bulk-edge correspondence is broken down. In this paper, by using one-dimensional Su-SchriefferHeeger model and two-dimensional (deformed)…

介观与纳米尺度物理 · 物理学 2020-05-20 Can Wang , Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

The effect of surface disorder on electronic systems is particularly interesting for topological phases with surface and edge states. Using exact diagonalization, it has been demonstrated that the surface states of a 3D topological…

无序系统与神经网络 · 物理学 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

光学 · 物理学 2022-12-16 Boquan Ren , Yaroslav V. Kartashov , Hongguang Wang , Yongdong Li , Yiqi Zhang

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

介观与纳米尺度物理 · 物理学 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

The existence of chiral edge states, corresponding to the nontrivial bulk-band topology characterized by a non-vanishing topological invariant, and the manipulation of topological transport via chiral edge states promise topological…

介观与纳米尺度物理 · 物理学 2023-07-25 Muhammad Nadeem , Xiaolin Wang

We demonstrate a new method of designing 2D functional magnetic topological heterostructure (HS) by exploiting the vdw heterostructure (vdw-HS) through combining 2D magnet CrI$_3$ and 2D materials (Ge/Sb) to realize new 2D topological…

材料科学 · 物理学 2020-03-13 Anh Pham , Panchapakesan Ganesh
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