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Monolayer staggered materials of the graphene family present intrinsic spin-orbit coupling and can be driven through several topological phase transitions using external circularly polarized lasers, and static electric or magnetic fields.…

Materials Science · Physics 2018-04-25 P. Ledwith , W. J. M. Kort-Kamp , D. A. R. Dalvit

We consider quantum condensed matter systems without particle-number conservation. Since the particle number is not a good quantum number, states belonging to different particle-number sectors can hybridize, which causes topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Alexander Mook , Rhea Hoyer , Jelena Klinovaja , Daniel Loss

Topological phase in magnetic materials yields a quantized contribution to the Hall effect known as the topological Hall effect, which is often caused by skyrmions, with each skyrmion creating a magnetic flux quantum h/e. The control and…

Using the fiber bundle concept developed in geometry and topology, the fractionally quantized Hall conductivity is discussed in the relevant many--particle configuration space. Electron-magnetic field and electron-electron interactions…

Condensed Matter · Physics 2016-08-31 T. Asselmeyer , R. Keiper

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

Spintronics, an evolving interdisciplinary field at the intersection of magnetism and electronics, explores innovative applications of electron charge and spin properties for advanced electronic devices. The topological Hall effect, a key…

The $su(2)$ coherent-state path-integral technique is employed to study lattice electrons strongly coupled to a quantum spin background. In the large-spin limit it is replaced with its classical counterpart that breaks the time-reversal…

Strongly Correlated Electrons · Physics 2023-04-28 Kaushal K. Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

Hopfions are localized and topologically non-trivial magnetic configurations that have received considerable attention in recent years. Through a micromagnetic approach, we analyze the scattering of spin waves by magnetic hopfions. We show…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Carlos Saji , Roberto E. Troncoso , Vagson L. Carvalho-Santos , Dora Altbir , Alvaro S. Nunez

The spin-Hall effect underpins some of the most active topics in modern physics, including spin torques and the inverse spin-Hall effect, yet it lacks a proper theoretical description. This makes it difficult to differentiate the SHE from…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Hongyang Ma , James H. Cullen , Serajum Monir , Rajib Rahman , Dimitrie Culcer

Experimental and theoretical aspects of Hall-type transport of spins in magnetic insulators are reviewed, with emphasis on their spin chirality origin. A general formalism for linear response theory of thermal Hall transport in the spin…

Strongly Correlated Electrons · Physics 2016-12-22 Jung Hoon Han , Hyunyong Lee

Orbitronics has recently emerged as a very active research topic after several proposals aiming to exploit the orbital degree of freedom for charge-free electronics. In this communication, we investigate orbital transport in selected…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Armando Pezo , Diego García Ovalle , Aurélien Manchon

The topological Hall effect (THE), as one of the primary manifestations of non-trivial topology of chiral skyrmions, is traditionally used to detect the emergence of skyrmion lattices with locally ferromagnetic order. In this work we…

Materials Science · Physics 2017-05-18 Patrick M. Buhl , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Manipulation of magnetic ground states by effective control of competing magnetic interactions has led to the finding of many exotic magnetic states. In this direction, the tetragonal Heusler compounds consisting of multiple magnetic…

The incidence of topology on the band structure and physical properties of layered compounds has been extensively studied in semimetals. How those evolve in presence of electronic correlations has been less investigated so far. In the…

Strongly Correlated Electrons · Physics 2020-04-20 I. F. Gilmutdinov , I. R. Mukhamedshin , H. Alloul

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

The theory of weak localization is generalized for multilevel 2D systems taking into account intersubband scattering. It is shown that weak intersubband scattering which is negligible in a classical transport, affects strongly the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 N. S. Averkiev , L. E. Golub , S. A. Tarasenko , M. Willander

The chirality associated with broken time reversal symmetry in magnetically doped topological insulators has important implications to the quantum transport phenomena. Here we report the anomalous Hall effect studies in Mn- and Cr-doped…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 Chang Liu , Yunyi Zang , Yan Gong , Ke He , Xucun Ma , Qi-Kun Xue , Yayu Wang

When time-reversal symmetry is weakly broken and interactions are neglected, the surface of a $Z_{2}$ topological insulator supports a half-quantized Hall conductivity $\sigma_{S} = e^{2}/(2h)$. A surface Hall conductivity in an insulator…

Strongly Correlated Electrons · Physics 2015-12-16 Karin Everschor-Sitte , Matthias Sitte , Allan H. MacDonald

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

Mesoscale and Nanoscale Physics · Physics 2011-06-30 Dimitrie Culcer , S. Das Sarma

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to a quantum cavity field. As initially pointed out by Kohn, Galilean invariance for a homogeneous quantum Hall system implies that the electronic center…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Vasil Rokaj , Jie Wang , John Sous , Markus Penz , Michael Ruggenthaler , Angel Rubio