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Some Kondo insulators are expected to possess topologically protected surface states with linear Dirac spectrum, the topological Kondo insulators. Because the bulk states of these systems typically have heavy effective electron masses, the…

介观与纳米尺度物理 · 物理学 2015-08-14 Christopher Triola , Jian-Xin Zhu , Albert Migliori , Alexander V. Balatsky

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

应用物理 · 物理学 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

Conventional Chern insulators are two-dimensional periodic structures that support unidirectional edge states at the boundary, while the wave propagation in the bulk regions is forbidden. The number of unidirectional edge states is governed…

光学 · 物理学 2024-11-22 João C. Serra , Mário G. Silveirinha

Topological insulators exhibit boundary states protected by bulk band topology, a principle first established in quantum systems and later extended to classical waves, including phononics. Conventionally, an $n$-dimensional bulk with…

介观与纳米尺度物理 · 物理学 2025-11-26 Joel R. Pyfrom , Kai Sun , Jihong A. Ma

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy…

强关联电子 · 物理学 2009-11-13 Dung-Hai Lee , Guang-Ming Zhang , Tao Xiang

We study in-gap electronic states induced by a nonmagnetic defect with short-range potential in two-dimensional topological insulators and trace their evolution as the distance between the defect and the boundary changes. The defect located…

介观与纳米尺度物理 · 物理学 2015-02-13 Vladimir A. Sablikov , Aleksei A. Sukhanov

Topological edge states in Chern insulators are typically characterized by a linear dispersion relation inherited from the Dirac structure of the bulk Hamiltonian. Here we show that this paradigm can be fundamentally altered in systems with…

介观与纳米尺度物理 · 物理学 2026-05-06 Marta García Olmos , David Martín Tejedor , Mario Amado , Yuriko Baba , Rafael A. Molina

The dynamics of the magnetic field in a superconducting phase is described by an effective massive bosonic field theory. If the superconductor is confined in a domain M with boundary \partial M, the boundary conditions of the…

材料科学 · 物理学 2015-06-17 M. Asorey , A. P. Balachandran , J. M. Perez-Pardo

Semi-Dirac materials in 2D present an anisotropic dispersion relation, linear along one direction and quadratic along the perpendicular one. This study explores the topological properties and the influence of disorder in a 2D semi-Dirac…

介观与纳米尺度物理 · 物理学 2024-06-13 Marta García Olmos , Yuriko Baba , Mario Amado , Rafael A. Molina

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

介观与纳米尺度物理 · 物理学 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

For a disordered two-dimensional model of a topological insulator (such as a Kane-Mele model with disordered potential) with small coupling of spin invariance breaking term (such as the Rashba coupling), it is proved that the spin edge…

数学物理 · 物理学 2016-10-27 Hermann Schulz-Baldes

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

材料科学 · 物理学 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

介观与纳米尺度物理 · 物理学 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

In this work, we study the disorder effects on the bulk-boundary correspondence of two-dimensional higher-order topological insulators (HOTIs). We concentrate on two cases: (i) bulk-corner correspondence, (ii) edge-corner correspondence.…

无序系统与神经网络 · 物理学 2021-09-13 Yu-Song Hu , Yue-Ran Ding , Jie Zhang , Zhi-Qiang Zhang , Chui-Zhen Chen

(Bi$_{1-x}$Sb$_x$)$_2$Te$_3$ alloys are non-degenerate topological insulators (TIs) whose Dirac point (DP) can be tuned within the bulk bandgap by varying the composition, effectively reducing bulk conduction while allowing surface carrier…

Topological insulators (TIs) are predicted to be composed of an insulating bulk state along with conducting channels on the boundary of the material. In Bi2Se3, however, the Fermi level naturally resides in the conduction band due to…

材料科学 · 物理学 2011-08-03 Matthew Brahlek , Yong Seung Kim , Namrata Bansal , Eliav Edrey , Seongshik Oh

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

材料科学 · 物理学 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

介观与纳米尺度物理 · 物理学 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states…

介观与纳米尺度物理 · 物理学 2012-05-24 Pierre Adroguer , David Carpentier , Jérôme Cayssol , Edmond Orignac

We calculate the local density of states of two prototypical topological insulators (Bi$_2$Se$_3$ and Bi$_2$Te$_2$Se) as a function of distance from the surface within density functional theory. We find that, in the absence of disorder or…

介观与纳米尺度物理 · 物理学 2015-10-08 Benjamin M. Fregoso , Sinisa Coh