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The bulk-edge correspondence is a fundamental principle of topological wave physics, which states that the difference in gap Chern numbers between the interfaced materials is equal to the net number of topological edge modes. Although this…

光学 · 物理学 2022-02-09 Samaneh Pakniyat , S. Ali Hassani Gangaraj , George W Hanson

Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on…

材料科学 · 物理学 2013-09-04 Yoichi Ando

Photonic topological insulators (PTIs) exhibit robust photonic edge states protected by band topology, similar to electronic edge states in topological band insulators. Standard band theory does not apply to amorphous phases of matter,…

Topology, a mathematical concept, has recently become a popular and truly transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and materials science. Since there is a direct connection between real space,…

材料科学 · 物理学 2021-03-23 Nitesh Kumar , Satya N. Guin , Kaustuv Manna , Chandra Shekhar , Claudia Felser

Topological physics in photonic systems have attracted great attentions in recent years. In this work, we theoretically study the one and two dimensional photonic quasicrystal resonator lattices characterized by the first and second Chern…

介观与纳米尺度物理 · 物理学 2015-04-16 Xiao Zhang

We investigate surface plasmons at a planar interface between a normal dielectric and a topological insulator, where the Fermi-energy lies inside the bulk gap of the topological insulator and gives rise to a two-dimensional charge…

介观与纳米尺度物理 · 物理学 2015-06-17 Robert Schütky , Christian Ertler , Andreas Trügler , Ulrich Hohenester

Exhaustive study of topological semimetal phases of matter in equilibriated electonic systems and myriad extensions has built upon the foundations laid by earlier introduction and study of the Weyl semimetal, with broad applications in…

介观与纳米尺度物理 · 物理学 2024-01-23 Adipta Pal , Joe H. Winter , Ashley M. Cook

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

介观与纳米尺度物理 · 物理学 2015-03-13 M. Z. Hasan , C. L. Kane

Topological phases of matter is an exotic phenomena in modern condense matter physics, which has attracted much attention due to the unique boundary states and transport properties. Recently, this topological concept in electronic materials…

量子物理 · 物理学 2021-08-06 Zheng-Yuan Xue , Yong Hu

In topological photonics, artificial photonic structures are constructed for realizing nontrivial unidirectional propagation of photonic information. On the other hand, moir\'e superlattices are emerging as an important avenue for…

光学 · 物理学 2024-03-13 Weiwei Luo , Jiang Fan , Alexey B. Kuzmenko , Wei Cai , Jingjun Xu

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

材料科学 · 物理学 2010-07-29 M. Klintenberg

Phonons play a crucial role in many properties of solid state systems, such as thermal and electrical conductivity, neutron scattering and associated effects or superconductivity. Hence, it is expected that topological phonons will also…

We study the properties of the quantum states in the one-dimensional system with a shifted periodic potential in both the discrete model and the continuous model. With open boundary conditions, the edge states appear in the energy gaps…

介观与纳米尺度物理 · 物理学 2015-06-23 Yi Zheng , Shi-Jie Yang

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

其他凝聚态物理 · 物理学 2026-04-30 Yu. B. Kudasov

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts,…

材料科学 · 物理学 2016-01-12 Yoichi Ando , Liang Fu

For many materials, a precise knowledge of their dispersion spectra is insufficient to predict their ordered phases and physical responses. Instead, these materials are classified by the geometrical and topological properties of their…

材料科学 · 物理学 2021-06-16 Qiong Ma , Adolfo G. Grushin , Kenneth S. Burch

Topological photonic insulators show promise for applications in compact integrated photonic circuits due to their ability to transport light robustly through sharp bendings. The number of topological edge states relies on the difference…

应用物理 · 物理学 2024-01-19 Weiyuan Tang , Mudi Wang , Shaojie Ma , C. T. Chan , Shuang Zhang

In the research of the topological band phases, the conventional wisdom is to start from the crystalline translational symmetry systems. Nevertheless, the translational symmetry is not always a necessary condition for the energy bands. Here…

无序系统与神经网络 · 物理学 2025-12-03 Shuo Wang , Jing-Run Lin , Zheng-Wei Zuo

We present a pedagogical review of the physics of fractional Chern insulators with a particular focus on the connection to the fractional quantum Hall effect. While the latter conventionally arises in semiconductor heterostructures at low…

强关联电子 · 物理学 2015-10-05 S. A. Parameswaran , R. Roy , S. L. Sondhi

We propose a two-dimensional plasmonic platform - periodically patterned monolayer graphene - which hosts topological one-way edge states operable up to infrared frequencies. We classify the band topology of this plasmonic system under…

介观与纳米尺度物理 · 物理学 2017-06-21 Dafei Jin , Thomas Christensen , Marin Soljačić , Nicholas X. Fang , Ling Lu , Xiang Zhang