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We unveil novel spin-orbit torque mechanisms driven by topological edge states in magnetic graphene-based devices. Within the energy gap, a damping-like torque plateau emerges within the quantum anomalous Hall phase upon breaking…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 Joaquín Medina Dueñas , José H. García , Stephan Roche

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

Scattering of a 2D Dirac electrons on a rectangular matrix potential barrier is considered using the formalism of spinor transfer matrices. It is shown, in particular, that in the absence of the mass term, the Klein tunneling is not…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mikhail Erementchouk , Pinaki Mazumder , M. A. Khan , Michael N. Leuenberger

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

We present a series of models of three-dimensional rotation-symmetric fragile topological insulators in class AI (time-reversal symmetric and spin-orbit-free systems), which have gapless surface states protected by time-reversal ($T$) and…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Shingo Kobayashi , Akira Furusaki

A variety of distinct anisotropic exchange interactions commonly exist in one magnetic material due to complex crystal, magnetic and orbital symmetries. Here we investigate the effects of multiple anisotropic exchange interactions on…

Strongly Correlated Electrons · Physics 2025-12-29 Jin-Yu Ni , Xia-Ming Zheng , Peng-Tao Wei , Da-Yong Liu , Liang-Jian Zou

Symmetries play a major role in identifying topological phases of matter and in establishing a direct connection between protected edge states and topological bulk invariants via the bulk-boundary correspondence. One-dimensional lattices…

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…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without…

Optics · Physics 2017-08-02 Gleb Siroki , Paloma Arroyo Huidobro , Vincenzo Giannini

Topological spin liquids are robust quantum states of matter with long-range entanglement and possess many exotic properties such as the fractional statistics of the elementary excitations. Yet these states, short of local parameters like…

Strongly Correlated Electrons · Physics 2017-08-28 Yan-Cheng Wang , Chen Fang , Meng Cheng , Yang Qi , Zi Yang Meng

Macroscopic two-dimensional sonic crystals with inversion symmetry are studied to reveal higher-order topological physics in classical wave systems. By tuning a single geometry parameter, the band topology of the bulk and the edges can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zhan Xiong , Zhi-Kang Lin , Hai-Xiao Wang , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Systems that exhibit topologically protected edge states are interesting both from a fundamental point of view as well as for potential applications, the latter because of the absence of back-scattering and robustness to perturbations. It…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Ezio Iacocca , Olle Heinonen

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

The ever-growing demand for device miniaturization and energy efficiency in data storage and computing technology has prompted a shift towards antiferromagnetic (AFM) topological spin textures as information carriers, owing to their…

In non-magnetic bulk materials, inversion symmetry protects the spin degeneracy. If the bulk crystal structure lacks a centre of inversion, however, spin-orbit interactions lift the spin degeneracy, leading to a Rashba metal whose Fermi…

After the classification of topological states of matter has been clarified for non-interacting electron systems, the theoretical connection between gapless boundary modes and nontrivial bulk topological structures, and their evolutions as…

Strongly Correlated Electrons · Physics 2018-08-15 M. Sasaki , A. Ohnishi , Nabyendu Das , K. -S. Kim , Heon-Jung Kim

Photonic topological phases offering unprecedented manipulation of electromagnetic waves have attracted much research interest which, however, have been mostly restricted to a single band gap. Here, we report on the experimental discovery…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Yanan Wang , Hai-Xiao Wang , Li Liang , Longzhen Fan , Zhi-Kang Lin , Feifei Li , Xiao Zhang , Pi-Gang Luan , Yin Poo , Jian-Hua Jiang , Guang-Yu Guo

Motivated by the emerging control of Berry-curvature textures in altermagnets, we explore a two-terminal configuration where a topological-insulator film is interfaced with two altermagnetic electrodes whose crystalline phases can be…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Carlos Caro , Francisco Gamez

The Dirac equation is a paradigmatic model that describes a range of intriguing properties of relativistic spin-1/2 particles, from the existence of antiparticles to Klein tunneling. However, the Dirac-like equations have found application…

Topological insulators (TIs) are a new class of matter characterized by the unique electronic properties of an insulating bulk and metallic boundaries arising from non-trivial bulk band topology. While the surfaces of TIs have been well…

Materials Science · Physics 2014-10-09 L. Seixas , D. West , A. Fazzio , S. B. Zhang