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We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

介观与纳米尺度物理 · 物理学 2018-09-19 Motohiko Ezawa

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

介观与纳米尺度物理 · 物理学 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

介观与纳米尺度物理 · 物理学 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

Topology in quantum systems is typically considered in infinite crystals in one, two, or higher integer dimensions. Here, we show that one can continuously transform a system between a topological phase associated with one dimension and a…

介观与纳米尺度物理 · 物理学 2026-02-25 Frode Balling-Ansø , Adipta Pal , Ashley M. Cook , Anne E. B. Nielsen

The onset of the topological phase transition in a two-dimensional model for a Chern Insulator, namely the Qi-Wu-Zhang(QWZ) model, is illustrated, with particular emphasis on the appearance of chiral edge-modes. The edge-modes are studied…

介观与纳米尺度物理 · 物理学 2023-11-16 Arjo Dasgupta , Indra Dasgupta

Higher-dimensional topological phases play a key role in understanding the lower-dimensional topological phases and the related topological responses through a dimensional reduction procedure. In this work, we present a Dirac-type model of…

介观与纳米尺度物理 · 物理学 2022-11-11 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

We expand the concept of two-dimensional topological insulators to encompass a novel category known as topological dipole insulators (TDIs), characterized by conserved dipole moments along the $x$-direction in addition to charge…

介观与纳米尺度物理 · 物理学 2024-11-20 Ho Tat Lam , Jung Hoon Han , Yizhi You

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

介观与纳米尺度物理 · 物理学 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

Chern insulators exhibit fascinating properties which originate from the topologically nontrivial state characterized by the Chern number. How these properties change if the system is quenched between topologically distinct phases has…

介观与纳米尺度物理 · 物理学 2017-10-25 Michael Schüler , Philipp Werner

Topological insulator (TI) is an exciting discovery because of its robustness against disorder and interactions. Recently, higher-order TIs have been attracting increasing attention, because they host 1D topologically-protected hinge states…

介观与纳米尺度物理 · 物理学 2021-10-27 Peng-Lu Zhao , Xiao-Bin Qiang , Hai-Zhou Lu , X. C. Xie

Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the…

量子物理 · 物理学 2022-11-23 Xin Shen , Yan-Qing Zhu , Zhi Li

Dynamics induced by a change of boundary conditions reveals rate-dependent signatures associated with topological properties in one-dimensional Kitaev chain and SSH model. While the perturbation from a change of the boundary propagates into…

介观与纳米尺度物理 · 物理学 2016-08-02 Yan He , Chih-Chun Chien

Recent theoretical studies have extended the Berry phase framework to account for higher electric multipole moments, quadrupole and octupole topological phases have been proposed. Although the two-dimensional quantized quadrupole insulators…

介观与纳米尺度物理 · 物理学 2020-01-08 Jiacheng Bao , Deyuan Zou , Weixuan Zhang , Wenjing He , Houjun Sun , Xiangdong Zhang

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

无序系统与神经网络 · 物理学 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We consider two-dimensional Chern insulators and time-reversal invariant topological insulators and discuss the effect of perturbations breaking either particle-number conservation or time-reversal symmetry. The appearance of trivial mass…

强关联电子 · 物理学 2016-08-18 Stephan Rachel

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

介观与纳米尺度物理 · 物理学 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Interaction-induced topological systems have attracted a growing interest for their exotic properties going beyond the single-particle picture of topological insulators. In particular, the interplay between strong correlations and finite…

Three-dimensional (3D) topological insulators (TIs) are known to carry 2D Dirac-like topological surface states in which spin-momentum locking prohibits backscattering. When thinned down to a few nanometers, the hybridization between the…

Within a relativistic quantum formalism we examine the role of second-order corrections caused by the application of magnetic fields in two-dimensional topological and Chern insulators. This allows to reach analytical expressions for the…

介观与纳米尺度物理 · 物理学 2021-11-01 Daniel Faílde , Daniel Baldomir

Topological insulators (TIs) are a new quantum state of matter discovered recently, which are characterized by unconventional bulk topological invariants. Proposals for practical applications of the TIs are mostly based upon their metallic…

介观与纳米尺度物理 · 物理学 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing
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