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Recently a type of robust exceptional points was found that is insensitive to the coupling disorder in the bulk. Here we show that a disparity emerges when the number of coupled cavities in this one-dimensional array changes from even to…

介观与纳米尺度物理 · 物理学 2020-07-01 Jose D. H. Rivero , Li Ge

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator…

介观与纳米尺度物理 · 物理学 2019-04-10 Yan-Qi Wang , Joel E. Moore

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

We develop a theory of edge state transport in separately contacted double-layer quantum Hall systems which are tuned close to the resonance condition for tunneling between the layers. When applied to the case where contact is made to only…

凝聚态物理 · 物理学 2009-10-28 D. Yoshioka , A. H. MacDonald

Based on probing electronic transport properties we propose an experimental test for the recently discovered rich topological phase diagram of one-dimensional Floquet topological insulators with Rashba spin-orbit interaction [Kennes…

介观与纳米尺度物理 · 物理学 2020-04-22 Niclas Müller , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

In recent years, the study of topologically non-trivial structures in one-dimensional models has been dominated by the Su--Schrieffer--Heeger model due to its simplicity in design and its ability to support edge states with robustness to…

介观与纳米尺度物理 · 物理学 2024-05-01 Valerii Kachin , Juan Camilo López Carreño , Magdalena Stobińska

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

Ballistically propagating topologically protected states harbor exotic transport phenomena of wide interest. Here we describe a nontopological mechanism that produces such states at the surfaces of generic Dirac materials, giving rise to…

介观与纳米尺度物理 · 物理学 2018-05-25 Oles Shtanko , Leonid Levitov

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

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

量子物理 · 物理学 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

We show that 1D electron states confined at twin-grain-boundaries in MoSe$_{2}$ can be modeled by a three-orbital tight binding model including a minimum set of phenomenological hopping terms. The confined states are robust to the details…

介观与纳米尺度物理 · 物理学 2019-04-10 Tilen Cadez , Linhu Li , Eduardo V. Castro , Jose M. P. Carmelo

Topological states emerge at the boundary of solids as a consequence of the nontrivial topology of the bulk. Recently, theory predicts a topological edge state on single layer transition metal dichalcogenides with 1T' structure. However,…

介观与纳米尺度物理 · 物理学 2019-12-10 Lang Peng , Yuan Yuan , Gang Li , Xing Yang , Jing-Jing Xian , Chang-Jiang Yi , You-Guo Shi , Ying-Shuang Fu

We investigate electronic and transport properties of bismuth (111) bilayer in the context of stability of its topological properties against different perturbations. The effects of spin-orbit coupling variations, geometry relaxation and an…

介观与纳米尺度物理 · 物理学 2023-05-05 M. Bieniek , T. Wozniak , P. Potasz

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

We investigate topological edge states in one-dimensional off-diagonal mosaic lattices, where nearest-neighbor hopping amplitudes are modulated periodically with period $\kappa>1$. Analytically, we demonstrate that discrete edge states…

光学 · 物理学 2025-10-17 Ba Phi Nguyen , Kihong Kim

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

材料科学 · 物理学 2012-02-01 D. J. Priour

The possibility of obtaining robust edge state of light by mimicking the topological properties of solid state system, have brought a profound impact on optical sciences. With the advent of high-brilliance, accelerator-driven light sources…

Topological phases support edge states that can be robust to material deformations and other perturbations. While well-studied in quantum systems, topological phases have also been observed in stochastic and biochemical systems, yet it…

统计力学 · 物理学 2026-04-06 Ziyin Xiong , Aleksandra Nelson , Evelyn Tang

We describe the possibility for topologically robust edge states existing on interfaces of triangular lattices which are supported by rotational symmetries that are sensitive to boundary conditions. Such states are trivial from the…

介观与纳米尺度物理 · 物理学 2022-10-19 Robert J. Davis , Yun Zhou , Dia'aaldin J. Bisharat , Prabhakar R. Bandaru , Daniel F. Sievenpiper