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Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Momchil Minkov , Vincenzo Savona

Theoretically, the helical edge states of two-dimensional topological insulators are protected from coherent backscattering due to nonmagnetic disorder provided electron interactions are not too strong. Experimentally, the edges typically…

Mesoscale and Nanoscale Physics · Physics 2021-11-08 A. V. Bubis , N. N. Mikhailov , S. A. Dvoretsky , A. G. Nasibulin , E. S. Tikhonov

We analyze collective excitations in models of two-dimensional topological insulators using the random phase approximation. In a two-dimensional extension of the Su-Schrieffer-Heeger model, edge plasmonic excitations with induced…

Mesoscale and Nanoscale Physics · Physics 2021-03-11 Henning Schlömer , Zhihao Jiang , Stephan Haas

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

The topological Haldane model (THM) on a honeycomb lattice is a prototype of systems hosting topological phases of matter without external fields. It is the simplest model exhibiting the quantum Hall effect without Landau levels, which…

Strongly Correlated Electrons · Physics 2017-04-12 Heung-Sik Kim , Hae-Young Kee

Recently discovered materials called three-dimensional topological insulators constitute examples of symmetry protected topological states in the absence of applied magnetic fields and cryogenic temperatures. A hallmark characteristic of…

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

Optics · Physics 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

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…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

In this paper, we investigate the band properties of 2D honeycomb plasmonic lattices consisting of metallic nanoparticles. By means of the coupled dipole method and quasi-static approximation, we theoretically analyze the band structures…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 Li Wang , Ruo-Yang Zhang , Meng Xiao , Dezhuan Han , C. T. Chan , Weijia Wen

Topological insulators are a class of electronic materials exhibiting robust edge states immune to perturbations and disorder. This concept has been successfully adapted in photonics, where topologically nontrivial waveguides and…

Bismuth-chalchogenides are model examples of three-dimensional topological insulators. Their ideal bulk-truncated surface hosts a single spin-helical surface state, which is the simplest possible surface electronic structure allowed by…

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Takashi Arita , Yositake Takane

Photonic topological insulators exhibit bulk-boundary correspondence, which requires that boundary-localized states appear at the interface formed between topologically distinct insulating materials. However, many topological photonic…

Optics · Physics 2023-11-30 Kahlil Y. Dixon , Terry A. Loring , Alexander Cerjan

Tuning the interaction between the bulk and edge states of topological materials is a powerful tool for manipulating edge transport behavior, opening up exciting opportunities for novel electronic and spintronic applications. This approach…

Mesoscale and Nanoscale Physics · Physics 2023-07-20 Yuefeng Yin , Chutian Wang , Michael S. Fuhrer , Nikhil V. Medhekar

The emerging field of topology has brought device effects to a new level. Higher-order topological insulators (HOTIs) go beyond traditional descriptions of bulk-edge correspondence, broadening the understanding of topologically insulating…

Optics · Physics 2024-04-03 Hui Chang Li , Xiang Zhou , Hai Lin Chi , Wen Wen Wang , Yun Shen , Xiao Hua Deng

We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region acts on the entanglement degrees of freedom at the boundary,…

Strongly Correlated Electrons · Physics 2014-01-28 S. Yang , L. Lehman , D. Poilblanc , K. Van Acoleyen , F. Verstraete , J. I. Cirac , N. Schuch

Topological phases, including the conventional first-order and higher-order topological insulators and semimetals, have emerged as a thriving topic in the fields of condensed-matter physics and material science. Usually, a topological…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Yating Yang , Jiuyang Lu , Mou Yan , Xueqin Huang , Weiyin Deng , Zhengyou Liu

We theoretically investigated the topological-protected edge states (TESs) in an anisotropic honeycomb lattice with mirror and chiral symmetries, characterized by an alternative topological invariant - fractional polarization (FP), rather…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Wei Jie Chan , Peihao Fu , L. K. Ang , Yee Sin Ang

Efficient control of phonons is crucial to energy-information technology, but limited by the lacking of tunable degrees of freedom like charge or spin. Here we suggest to utilize crystalline symmetry-protected pseudospins as new quantum…

Mesoscale and Nanoscale Physics · Physics 2019-09-12 Yizhou Liu , Yong Xu , Wenhui Duan
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