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Solitonic magnetic excitations such as domain walls and, specifically, skyrmionics enable the possibility of compact, high density, ultrafast,all-electronic, low-energy devices, which is the basis for the emerging area of skyrmionics. The…

Magnetic skyrmions are topologically protected whirling spin textures that can be stabilized in magnetic materials in which a chiral interaction is present. Their limited size together with their robustness against the external…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Davide Maccariello , William Legrand , Nicolas Reyren , Karin Garcia , Karim Bouzehouane , Sophie Collin , Vincent Cros , Albert Fert

A large set of recent experiments has been exploring topological transport in bosonic systems, e.g. of photons or phonons. In the vast majority, time-reversal symmetry is preserved, and band structures are engineered by a suitable choice of…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Tirth Shah , Florian Marquardt , Vittorio Peano

Topological transport phenomena in magnetic materials are a major topic of current condensed matter research. One of the most widely studied phenomena is the ``topological Hall effect'' (THE), which is generated via spin-orbit interactions…

It is well known that in two spatial dimensions the fractional quantum Hall effect (FQHE) deals with point-like anyons that carry fractional electric charge and statistics. Moreover, in presence of a SO(3) order parameter, point-like…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 Giandomenico Palumbo

Magnetic skyrmions are small swirling topological defects in the magnetization texture stabilized by the protection due to their topology. In most cases they are induced by chiral interactions between atomic spins existing in…

Materials Science · Physics 2017-12-21 Albert Fert , Nicolas Reyren , Vincent Cros

When magnetic skyrmions are moved via currents, they do not strictly travel along the path of the current, instead their motion also gains a transverse component. This so-called skyrmion Hall effect can be detrimental in potential skyrmion…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 Jonas Spethmann , Elena Y. Vedmedenko , Roland Wiesendanger , André Kubetzka , Kirsten von Bergmann

A hybrid chiral skyrmion tube is a well-known example of a 3D topological spin texture, exhibiting an intriguing chirality transition along the thickness direction. This transition progresses from left-handed to right-handed N\'eel-type…

We present a microscopic theory of skyrmions in the monolayer quantum Hall ferromagnet. It is a peculiar feature of the system that the number density and the spin density are entangled intrinsically as dictated by the W$%_{\infty}$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Tsitsishvili , Z. F. Ezawa

Recent experiments in moir\'e quantum materials exhibit quantized Hall states without an external magnetic field, motivating continuum mechanisms based on smooth moir\'e-periodic pseudospin textures. We present a controlled theory of…

Strongly Correlated Electrons · Physics 2026-02-17 Yi-Hsien Du

Magnetic skyrmions are mesmerizing spin textures with peculiar topological and dynamical properties, typically the product of competing interactions in ferromagnets, and with great technological potential [1-5]. Researchers have long…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

Magnetic skyrmions are textures behaving as quasiparticles which are topologically different from other states. Their discovery in systems with broken inversion symmetry sparked the search for materials containing such magnetic phase at…

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

Optical skyrmions are members of the emerging topological branch of solid-state physics and photonics, allowing for control over topological light textures through light-matter interactions. However, in nanophotonics their practical…

Skyrmionic patterns of optical fields have recently emerged across diverse photonic platforms. Here, we show that such textures also arise in the polarization eigenstates of light propagation through flat dielectric devices with an…

Optics · Physics 2025-10-13 Francesco Di Colandrea , Lorenzo Marrucci , Filippo Cardano

Materials hosting magnetic skyrmions at room temperature could enable new computing architectures as well as compact and energetically efficient magnetic storage such as racetrack memories. In a racetrack device, information is coded by the…

Topological properties of a certain class of spinless three-band Hamiltonians are shown to be summed up by the Skyrmion number in momentum space, analogous to the case of two-band Hamiltonian. Topological tight-binding Hamiltonian on a…

Strongly Correlated Electrons · Physics 2015-06-12 Gyungchoon Go , Jin-Hong Park , Jung Hoon Han

Antiferromagnetic (AFM) spintronics provides a route towards energy-efficient and ultrafast device applications. Achieving anomalous valley Hall effect (AVHE) in AFM monolayers is thus of considerable interest for both fundamental condensed…

Mesoscale and Nanoscale Physics · Physics 2023-11-22 San-Dong Guo , Wei Xu , Yang Xue , Gangqiang Zhu , Yee Sin Ang
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