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The hallmark of a skyrmion crystal (SkX) is the topological Hall effect (THE). In this Article, we predict and explain an unconventional behavior of the topological Hall conductivity in SkXs. In simple terms, the spin texture of the…

Strongly Correlated Electrons · Physics 2017-03-14 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

The commonly believed absence of skyrmion Hall effect for topologically trivial magnetic skyrmions is reconsidered for bilayer skyrmions in synthetic antiferromagnets driven by spin-transfer and spin-orbit torques. Using a general…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 Mu-Kun Lee , Javier A. Vélez , Rubén M. Otxoa , Masahito Mochizuki

The Hall conductivity $\sigma_{xy}$ of many condensed matter systems presents a step structure when a uniform perpendicular magnetic field is applied. We report the quantum Hall effect in buckled AB-bottom-top bilayer silicene and its…

Computational Physics · Physics 2019-10-23 Thi-Nga Do , Godfrey Gumbs , Po-Hsin Shih , Danhong Huang , Ming-Fa Lin

The topological valley Hall effect was predicted as a consequence of the bulk topology of electronic systems. Now it has been observed in photonic crystals, showing that both topology and valley are innate to classical as well as quantum…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Fan Zhang

Long-range magnetic textures, such as magnetic skyrmion, give rise to rich transport properties in magnetic metals, such as the anomalous Hall effect related to spin chirality, a.k.a. topological Hall effect. In addition to the topological…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Ryunosuke Terasawa , Hiroaki Ishizuka

Scalar spin chirality is expected to induce a finite contribution to the Hall response at low temperatures. We study this spin-chirality-driven Hall effect, known as the topological Hall effect, at the manganite side of the interface…

Strongly Correlated Electrons · Physics 2019-09-04 Narayan Mohanta , Elbio Dagotto , Satoshi Okamoto

We present a theoretical realization of quantum spin and quantum valley Hall effects in silicene. We show that combination of an electric field and intrinsic spin-orbit interaction leads to quantum phase transitions at the charge neutrality…

Mesoscale and Nanoscale Physics · Physics 2013-05-17 M. Tahir , A. Manchon , K. Sabeeh , U. Schwingenschlogl

Magnetic skyrmions are of considerable interest for low-power memory and logic devices because of high speed at low current and high stability due to topological protection. We propose a skyrmion field-effect transistor based on a…

Mesoscale and Nanoscale Physics · Physics 2019-08-15 Ik-Sun Hong , Kyung-Jin Lee

Structured light offers a promising solution for the increasing data demands of modern optical networks, opening up new degrees of freedom that can be leveraged for greater channel capacity and more bits per photon. However, its…

Magnetic skyrmions are believed to be the promising candidate of information carriers in spintronics. However, the skyrmion Hall effect due to the nontrivial topology of skyrmions can induce a skyrmion accumulation or even annihilation at…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xiaofan Wang , X. S. Wang , C. Wang , Huanhuan Yang , Yunshan Cao , Peng Yan

Magnetic hopfions are non-collinear spin textures that are characterized by an integer topological invariant, called Hopf index. The three-dimensional magnetic solitons can be thought of as a tube with a twisted magnetization that has been…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Börge Göbel , Samir Lounis

In this work, we synthesized single crystal of EuCd$_2$As$_2$, which exhibits A-type antiferromagnetic (AFM) order with in-plane spin orientation below $T_N$ = 9.5~K.Optical spectroscopy and transport measurements suggest its topological…

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

Introducing topologically protected skyrmions in graphene holds significant importance for developing high-speed, low-energy spintronic devices. Here, we present a centrosymmetric ferromagnetic graphene/trilayer Cr2Ge2Te6/graphene…

Magnetic skyrmions are topological magnetic spin structures exhibiting particle-like behaviour. They are of strong interest from a fundamental viewpoint and for application, where they have potential to act as information carriers in future…

We predict the coexistence of tunneling spin and valley Hall effects when electrons in graphene coherently transmit through a barrier with the broken inversion symmetry and proximity-induced spin-orbit coupling. Due to the rotation of the…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 W. Zeng

The creation and manipulation of photonic skyrmions provide a novel degree of freedom for light-matter interactions, optical communication and nanometrology. Since the localized vortex within skyrmions arises from the twist and curl of the…

Topological Hall effect (THE) is a hallmark of scalar spin chirality, which is found in static skyrmion lattices. Recent theoretical works have shown that scalar spin chirality could also emerge dynamically from thermal spin fluctuations.…

Magnetic skyrmionium is a skyrmion-like spin texture with nanoscale size and high mobility. It is a topologically trivial but dynamically stable structure, which can be used as a non-volatile information carrier for next-generation…

Mesoscale and Nanoscale Physics · Physics 2021-11-25 Xue Liang , Xichao Zhang , Laichuan Shen , Jing Xia , Motohiko Ezawa , Xiaoxi Liu , Yan Zhou

Symmetry breaking together with strong spin-orbit interaction give rise to many exciting phenomena within condensed matter physics. A recent example is the existence of chiral spin textures, which are observed in magnetic systems lacking…

Mesoscale and Nanoscale Physics · Physics 2017-09-26 Wanjun Jiang , Gong Chen , Kai Liu , Jiadong Zang , Suzanne G. E. te Velthuis , Axel Hoffmann