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The edge states of a two-dimensional quantum spin Hall (QSH) insulator form a one-dimensional helical metal which is responsible for the transport property of the QSH insulator. Conceptually, such a one-dimensional helical metal can be…

介观与纳米尺度物理 · 物理学 2011-12-06 Yongjin Jiang , Feng Lu , Feng Zhai , Tony Low , Jiangping Hu

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

介观与纳米尺度物理 · 物理学 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

We study an interacting composite $(1+1/n)$ Abelian helical edge state made of a regular helical liquid carrying charge $e$ and a (fractionalized) helical liquid carrying charge $e/n$. A systematic framework is developed for these composite…

强关联电子 · 物理学 2024-10-10 Yang-Zhi Chou , Sankar Das Sarma

Two-dimensional (2D) topological insulator (TI) have been recognized as a new class of quantum state of matter. They are distinguished from normal 2D insulators with their nontrivial band-structure topology identified by the $Z_2$ number as…

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

介观与纳米尺度物理 · 物理学 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

介观与纳米尺度物理 · 物理学 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

We prove that the Kane-Mele-Hubbard model with purely imaginary next-nearest-neighbor hoppings has a particle-hole symmetry at half-filling. Such a symmetry has interesting consequences including the absence of charge and spin currents…

强关联电子 · 物理学 2015-03-17 Dong Zheng , Guang-Ming Zhang , Congjun Wu

We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (TI). Based on the topology of the underlying spatial…

斑图形成与孤子 · 物理学 2021-12-28 Y. -P. Ma , H. Susanto

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of…

介观与纳米尺度物理 · 物理学 2021-01-14 M. M. Mahmoodian , M. V. Entin

The quantum spin Hall (QSH) effect is the property of a new state of matter which preserves time-reversal, has an energy gap in the bulk, but has topologically robust gapless states at the edge. Recently, it has been shown that HgTe quantum…

介观与纳米尺度物理 · 物理学 2009-11-13 Xi Dai , Taylor L. Hughes , Xiao-Liang Qi , Zhong Fang , Shou-Cheng Zhang

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

介观与纳米尺度物理 · 物理学 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

介观与纳米尺度物理 · 物理学 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

We theoretically investigate the Coulomb drag between the edge states of two quantum spin Hall systems. Using an interacting theory of the one-dimensional helical edge modes, we show that the drag vanishes at second order in the inter-edge…

强关联电子 · 物理学 2010-09-29 Vladimir A. Zyuzin , Gregory A. Fiete

Topological insulators (TIs) represent a new quantum state of matter characterized by robust gapless states inside the insulating bulk gap. The metallic edge states of a two-dimensional (2D) TI, known as quantum spin Hall (QSH) effect, are…

介观与纳米尺度物理 · 物理学 2015-06-17 Liangzhi Kou , Binghai Yan , Feiming Hu , Shu-Chun Wu , Tim O. Wehling , Claudia Felser , Changfeng Chen , Thomas Frauenheim

We investigate the emergence of anti-ferromagnetic ordering and its effect on the helical edge states in a quantum spin Hall insulator, in the presence of strong Coulomb interaction. Using dynamical mean-field theory, we show that the…

强关联电子 · 物理学 2018-08-01 A. Amaricci , A. Valli , G. Sangiovanni , B. Trauzettel , M. Capone

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

The presence of edges locally breaks the inversion symmetry of heterostructures and gives rise to lateral (edge) spin-orbit coupling (SOC), which, under some conditions, can lead to the formation of helical edge states. If the edge SOC is…

介观与纳米尺度物理 · 物理学 2015-11-11 A. Matos-Abiague

Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

We study the suppression of the conductance quantization in quantum spin Hall systems by a combined effect of electronic interactions and edge disorder, that is ubiquitous in exfoliated and CVD grown 2D materials. We show that the interplay…

介观与纳米尺度物理 · 物理学 2024-04-16 Leandro R. F. Lima , Caio Lewenkopf

The scientific interest in two-dimensional topological insulators (2D TIs) is currently shifting from a more fundamental perspective to the exploration and design of novel functionalities. Key concepts for the use of 2D TIs in spintronics…