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We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface…

强关联电子 · 物理学 2012-06-29 Lei Wang , Hua Jiang , Xi Dai , X. C. Xie

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

介观与纳米尺度物理 · 物理学 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

States of matter with nontrivial topology have been classified by their bulk symmetry properties. However, by cutting the topological insulator into ribbons, the symmetry of the system is reduced. By constructing effective Hamiltonians…

介观与纳米尺度物理 · 物理学 2016-04-13 Augusto L. Araújo , Ernesto O. Wrasse , Gerson J. Ferreira , Tome M. Schmidt

Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are gapped, which induces a topological…

材料科学 · 物理学 2015-03-20 Weidong Luo , Xiao-Liang Qi

The surface states in three-dimensional (3D) topological insulators (TIs) can be described by a two-dimensional (2D) continuous Dirac Hamiltonian. However, there exists the Fermion doubling problem when putting the continuous 2D Dirac…

介观与纳米尺度物理 · 物理学 2017-07-05 Yan-Feng Zhou , Hua Jiang , X. C. Xie , Qing-Feng Sun

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

经典物理 · 物理学 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

We propose a nonlocal manipulation method to build topological devices through emerging robust helical surface states in Z_2=0 topological systems. Specifically, in a ribbon of Z_2=0 Bernevig- Hughes-Zhang (BHZ) model with finite-size…

介观与纳米尺度物理 · 物理学 2015-11-20 Zibo Wang , Juntao Song , Haiwen Liu , Hua Jiang , X. C. Xie

We theoretically study subgap states appearing at the interface between two three-dimensional topological insulators which have different configurations in the spin-orbit interactions from each other. The coupling of spin…

介观与纳米尺度物理 · 物理学 2013-11-12 Tetsuro Habe , Yasuhiro Asano

Magnetic topological states refer to a class of exotic phases in magnetic materials with their non-trivial topological property determined by magnetic spin configurations. An example of such states is the quantum anomalous Hall (QAH) state,…

We use the method of invariants to derive one- and two-band effective Hamiltonians of a noncentrosymmetric two-dimensional electron gas, in the presence of magnetic field. A complete classification of the antisymmetric spin-orbit and…

介观与纳米尺度物理 · 物理学 2021-12-24 K. V. Samokhin

The paired top and bottom Dirac surface states, each associated with a half-integer quantum Hall (QH) effect, and a resultant integer QH conductance ({\nu}e2/h), are hallmarks of a three-dimensional (3D) topological insulator (TI). In a…

介观与纳米尺度物理 · 物理学 2020-01-07 Su Kong Chong , Kyu Bum Han , Taylor D. Sparks , Vikram V. Deshpande

In this work, we predict a hinged quantum spin-Hall (HQSH) effect featured by a pair of helical hinge modes in antiferromagnetic (AFM) topological insulator (TI) multilayers. This pair of helical hinge modes are localized on the hinges of…

介观与纳米尺度物理 · 物理学 2020-01-22 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen , X. C. Xie

Bi$_{2}$Te$_{3}$ and Bi$_{2}$Se$_{3}$ are well known 3D-topological insulators. Films made of these materials exhibit metal-like surface states with a Dirac dispersion and possess high mobility. The high mobility metal-like surface states…

介观与纳米尺度物理 · 物理学 2015-06-22 Parijat Sengupta , Tillmann Kubis , Yaohua Tan , Gerhard Klimeck

Three-dimensional topological insulators or axion insulators exhibit the topological magnetoelectric effect, which is isotropic with a universal coefficient of proportionality quantized in units of $e^2/2h$. Here we study the finite-size…

介观与纳米尺度物理 · 物理学 2020-05-20 Zhaochen Liu , Jing Wang

Using three-dimensional (3D) sonic crystals as acoustic higher-order topological insulators (HOTIs), we discover two-dimensional (2D) surface states described by spin-1 Dirac equations at the interfaces between the two sonic crystals with…

介观与纳米尺度物理 · 物理学 2022-12-02 Fei Meng , Zhi-Kang Lin , Weibai Li , Peiguang Yan , Yun Zheng , Jian-Hua Jiang , Baohua Jia , Xiaodong Huang

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

强关联电子 · 物理学 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

We study a topological phase of interacting bosons in (3+1) dimensions which is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model which realizes this phase and which can be studied in…

统计力学 · 物理学 2014-12-31 Scott Geraedts , Olexei Motrunich

We theoretically demonstrate that the second-order topological insulator with robust corner states can be realized in two-dimensional $\mathbb{Z}_2$ topological insulators by applying an in-plane Zeeman field. Zeeman field breaks the…

介观与纳米尺度物理 · 物理学 2020-04-29 Yafei Ren , Zhenhua Qiao , Qian Niu

The highly efficient torques generated by 3D topological insulators make them a favourable platform for faster and more efficient magnetic memory devices. Recently, research into harnessing orbital angular momentum in orbital torques has…

介观与纳米尺度物理 · 物理学 2025-06-18 James H. Cullen , Hong Liu , Dimitrie Culcer

Topological properties of quantum materials are intimately related to symmetry. Here, we tune the magnetic order of the axion insulator candidate EuIn$_2$As$_2$ from its broken-helix ground state to the field-polarized phase by applying an…