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The bulk-edge correspondence characterizes topological insulators and superconductors. We generalize this concept to the bulk-corner correspondence and the edge-corner correspondence in two dimensions. In the bulk-corner (edge-corner)…

介观与纳米尺度物理 · 物理学 2020-09-23 Motohiko Ezawa

Topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap. So far, most of the study on topological insulator surfaces has been limited to…

介观与纳米尺度物理 · 物理学 2012-06-04 L. A. Wray , Y. Xia , S. -Y. Xu , Y. S. Hor , R. J. Cava , A. Bansil , H. Lin , M. Z. Hasan

We consider the energy spectrum and the spin-parity structure of the eigenstates for a quantum dot made of a strong topological insulator. Using the effective low-energy theory in a finite-length cylinder geometry, numerical calculations…

介观与纳米尺度物理 · 物理学 2015-05-27 A. Kundu , A. Zazunov , A. Levy Yeyati , T. Martin , R. Egger

Excitation of a topological insulator by a high-frequency electric field of a laser radiation leads to a dc electric current in the helical edge channel whose direction and magnitude are sensitive to the radiation polarization and depend on…

介观与纳米尺度物理 · 物理学 2019-04-01 M. V. Durnev , S. A. Tarasenko

We discuss optical absorption in topological insulators and study possible photoelectric effects theoretically. We found that absorption of circularly polarized electromagnetic waves in two-dimensional topological insulators results in…

介观与纳米尺度物理 · 物理学 2016-10-18 S. N. Artemenko , V. O. Kaladzhyan

Step edges of topological crystalline insulators can be viewed as predecessors of higher-order topology, as they embody one-dimensional edge channels embedded in an effective three-dimensional electronic vacuum emanating from the…

Two-dimensional second-order topological insulators are characterized by the presence of topologically protected zero-energy bound states localized at the corners of a flake. In this paper we theoretically study the occurrence and features…

介观与纳米尺度物理 · 物理学 2023-10-30 Joseph Poata , Fabio Taddei , Michele Governale

Topological insulators host topology-linked boundary states, whose spin and charge degrees of freedom could be exploited to design topological devices with enhanced functionality. We experimentally observe that dissipationless chiral edge…

量子物理 · 物理学 2022-07-26 Chao Chen , Xing Ding , Jian Qin , Jizhou Wu , Yu He , Chao-Yang Lu , Li Li , Xiong-Jun Liu , Barry C. Sanders , Jian-Wei Pan

We present the exact wave functions and energy levels of electron in a two-dimensional circular quantum dot in the presence of the Rashba spin-orbit interaction. The confinement is described by the realistic potential well of finite depth.

数学物理 · 物理学 2009-11-17 V. V. Kudryashov

Three-dimensional strong topological insulators (TIs) guarantee the existence of a 2-D conducting surface state which completely covers the surface of the TI. The TI surface state necessarily wraps around the TI's top, bottom, and two…

介观与纳米尺度物理 · 物理学 2015-06-17 Vincent E. Sacksteder , Kristin Bjorg Arnardottir , Stefan Kettemann , Ivan A. Shelykh

The two-body t-matrix is calculated directly as function of two vector momenta for different Malfliet-Tjon type potentials. At a few hundred MeV projectile energy the total amplitude is quite a smooth function showing only a strong peak in…

核理论 · 物理学 2019-08-17 Ch. Elster , J. H. Thomas , W. Gloeckle

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…

应用物理 · 物理学 2023-01-10 Ze Ma , Yang Liu , Yu-Xin Xie , Yue-Sheng Wang

The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

介观与纳米尺度物理 · 物理学 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt

Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary correspondence then links the topological properties of the bulk…

介观与纳米尺度物理 · 物理学 2024-12-24 Gengming Liu , Violet Workman , Jiho Noh , Yuhao Ma , Taylor L. Hughes , Wladimir A. Benalcazar , Gaurav Bahl

Interface states at a boundary between regions with different spin-orbit interactions (SOIs) in two-dimensional (2D) electron systems are investigated within the one-band effective mass method with generalized boundary conditions for…

介观与纳米尺度物理 · 物理学 2011-09-21 Aleksei A. Sukhanov , Vladimir A. Sablikov

The study of topological band insulators has revealed fascinating phases characterized by band topology indices and anomalous boundary modes protected by global symmetries. In strongly correlated systems, where the traditional notion of…

强关联电子 · 物理学 2025-06-12 Chao Xu , Yixin Ma , Shenghan Jiang

Topologically protected edge states are the highlight feature of an interface between non-equivalent insulators. The robustness/sensitivity of these states to local single-particle perturbations is well understood, while their stability in…

强关联电子 · 物理学 2025-03-18 Jan Skolimowski , Wojciech Brzezicki

Unidirectional and backscattering-free propagation of sound waves is of fundamental interest in physics, and highly sought-after in engineering. Current strategies utilize topologically protected chiral edge modes in bandgaps, or complex…

软凝聚态物质 · 物理学 2023-06-14 Wenting Cheng , Kai Qian , Nan Cheng , Nicholas Boechler , Xiaoming Mao , Kai Sun

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

The scientific interest in two-dimensional topological insulators (2D TIs) is currently shifting from a more fundamental perspective to the exploration and design of novel functionalities. Key concepts for the use of 2D TIs in spintronics…

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