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Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

We elucidate that the diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Tsuneya Yoshida , Yasuhiro Hatsugai

Quantum spin Hall insulators are characterized by topologically protected counterpropagating edge states. Here we study the dynamical response of these helical edge states under a time-dependent flux biasing, in the presence of a heat bath.…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Doru Sticlet , Jérôme Cayssol

Quantum spin Hall insulators, or synonymously known as 2D topological insulators, are crucial 2D systems hosting topologically protected edge states. The working temperature of this topological quantum phase is dictated by the inverted…

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

We evidence the possibility for coherent electrical manipulation of the spin orientation of topologically protected edge states in a low-symmetry quantum spin Hall insulator. By using a combination of ab-initio simulations, symmetry-based…

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

Topological insulating phases are usually found in periodic lattices stemming from collective resonant effects, and it may thus be expected that similar features may be prohibited in thermal diffusion, given its purely dissipative and…

Applied Physics · Physics 2021-07-16 Guoqiang Xu , Yihao Yang , Xue Zhou , Hongsheng Chen , Andrea Alu , Cheng-Wei Qiu

Discovery of novel topological orders of condensed matters is of a significant interest in both fundamental and applied physics due to the associated quantum conductance behaviors and unique symmetry-protected backscattering-immune…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Cheng He , Xu Ni , Hao Ge , Xiao-Chen Sun , Yan-Bin Chen , Ming-Hui Lu , Xiao-Ping Liu , Liang Feng , Yan-Feng Chen

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

In this paper, the photonic quantum spin Hall effect (PQSHE) is realized in dielectric two-dimensional (2D) honeycomb lattice photonic crystal (PC) by stretching and shrinking the honeycomb unit cell. Combining two honeycomb lattice PCs…

Optics · Physics 2021-02-26 Yuchen Peng , Bei Yan , Jianlan Xie , Exian Liu , Hang Li , Rui Ge , Feng Gao , Jianjun Liu

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface)waves are…

Applied Physics · Physics 2021-04-28 Weijian Zhou , Weiqiu Chen , Michel Destrade , C. W. Lim

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

Three-dimensional topological insulators are a class of Dirac materials, wherein strong spin-orbit coupling leads to two-dimensional surface states. The latter feature spin-momentum locking, i.e., each momentum vector is associated with a…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Paul Seifert , Kristina Vaklinova , Sergey Ganichev , Klaus Kern , Marko Burghard , Alexander W. Holleitner

This work extends the theory of topological protection to dispersive systems. This theory has emerged from the field of topological insulators and has been established for continuum models in both classical and quantum settings. It predicts…

Analysis of PDEs · Mathematics 2023-11-13 Konstantinos Alexopoulos , Bryn Davies

Quantum spin-Hall effect, a manifestation of topological properties that govern the behavior of surface states, was studied intensively in condensed matter physics resulting in the discovery of topological insulators. The quantum spin-Hall…

Optics · Physics 2021-12-14 Peng Shi , Luping Du , Congcong Li , Anatoly V. Zayats , Xiaocong Yuan

Thermoelectric transport of two-dimensional quantum spin Hall systems are theoretically studied in narrow ribbon geometry. We find that at high temperature electrons in the bulk states dominate. By lowering temperature, the "perfectly…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 Ryuji Takahashi , Shuichi Murakami

We prove the existence of higher-order topological insulators with protected chiral hinge modes in quasi-two-dimensional systems made out of coupled layers stacked in an inversion-symmetric manner. In particular, we show that an external…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Sander H. Kooi , Guido van Miert , Carmine Ortix

A topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: While the bulk has a non-zero energy gap, the edges are forced to sustain excitations traversing these gaps. Originally proposed…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Roman Süsstrunk , Sebastian D. Huber
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