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Related papers: Skyrmion dynamics in quantum Hall ferromagnets

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We present a path integral formalism for the intrinsic quantum dynamics of magnetic skyrmions coupled to a thermal background of magnetic fluctuations. Upon promoting the skyrmion's collective coordinate $\boldsymbol{R}$ to a dynamic…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 Sergey A. Nikolaev , Akihiro Tanaka

Skyrmions are particle-like topological textures that hold great promise for low-power electronics and wave-based functionalities. Yet their utility is hindered by the lack of robust and controllable transport. Here, we show that band…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

We study the nonrelativistic nonlinear sigma model with Hopf term in this paper. This is an important issue beacuse of its relation to the currently interesting studies in skyrmions in quantum Hall systems. We perform the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 B. Chakraborty , T. R. Govindarajan

We theoretically investigate the interaction between magnons and a Skyrmion-textured domain wall in a two-dimensional antiferromagnet and elucidate the resultant properties of magnon transport. Using supersymmetric quantum mechanics, we…

Mesoscale and Nanoscale Physics · Physics 2024-07-10 Seungho Lee , Kouki Nakata , Oleg Tchernyshyov , Se Kwon Kim

Near to filling fraction $\nu=1$, the quantum Hall ferromagnet contains multiple Skyrmion spin excitations. This multi-Skyrmion system has a tremendously rich quantum-critical structure. This is simplified when Skyrmions are pinned by…

Condensed Matter · Physics 2009-10-31 A. G. Green

We theoretically study the thermal Hall effect by magnons in skyrmion crystal phases of ferrimagnets in the vicinity of the angular momentum compensation point (CP). To this end, we start by deriving the equation of motion for magnons in…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 Se Kwon Kim , Kouki Nakata , Daniel Loss , Yaroslav Tserkovnyak

A self-consistent field theory is introduced and used to investigate the thermodynamics and spin dynamics of an $S = 1$ quantum spin system with a magnetic Skyrmion. The temperature dependence of the Skyrmion profile as well as the phase…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 R. Wieser

It is shown that the collective spin rotation of a single Skyrmion in quantum Hall ferromagnet can be regarded as precession of the entire spin texture in the external magnetic field, with an effective moment of inertia which becomes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Maniv , Yu. A. Bychkov , I. D. Vagner

Magnetic skyrmionium is a novel magnetization configuration with zero skyrmion number, which is composed by two skyrmions with opposite skyrmion number. Here, we study the dynamics of skyrmionium under an anisotropy gradient. We find that…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Chengkun Song , Chendong Jin , Yunxu Ma , Jinshuai Wang , Haiyan Xia , Jianbo Wang , Qingfang Liu

We argue that the dissipative transport in ferromagnetic quantum Hall effect liquids at $\nu=2N+1$ is dominated by the thermal activation of pairs consisting of an electron and an antiskyrmion (topological texture which represents a hole…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vladimir I. Fal'ko , S. V. Iordanski

We investigate thermal Hall transport in magnetic systems, using semiclassical spin dynamics simulations. Building on a linear response framework, we discuss the intricacies of computing the thermal Hall conductivity from real-time energy…

Strongly Correlated Electrons · Physics 2026-03-11 Ignacio Salgado-Linares , Alexander Mook , Léo Mangeolle , Johannes Knolle

Reliable transport of magnetic skyrmions is required for any future skyrmion-based information processing devices. Here we present a micromagnetic study of the in-plane current-driven motion of a skyrmion in a ferromagnetic nanotrack with…

Mesoscale and Nanoscale Physics · Physics 2017-02-21 Xichao Zhang , Jing Xia , G. P. Zhao , Xiaoxi Liu , Yan Zhou

It is well known that the Fractional Quantum Hall Effect (FQHE) may be effectively represented by a Chern-Simons theory. In order to incorporate QH Skyrmions, we couple this theory to the topological spin current, and include the Hopf term.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Baez , A. P. Balachandran , A. Stern , A. Travesset

Recently, an O(3) type of effective action was proposed for the quantum Hall ferromagnet, which accounts for bag formation observed in microscopic Hartree- Fock calculations. We apply this action in the soliton sector and compare with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Teufel , H. Walliser

We report on a study of the classical field theory description of charged skyrmions in quantum Hall ferromagnets. The appropriate field theory is a non-linear $\sigma$ model generalized to include Coulomb and Zeeman interaction terms. We…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 M. Abolfath , J. J. Palacios , H. A. Fertig , S. M. Girvin , A. H. MacDonald

We systematically derive the quantum kinetic equation in full phase space for any quadratic hamiltonian of bosonic fields, including in the absence of translational invariance. This enables the treatment of boundaries, inhomogeneous systems…

Strongly Correlated Electrons · Physics 2025-04-22 Léo Mangeolle , Lucile Savary , Leon Balents

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

We use the coherent state approximation for the skyrmion in the isotropic quantum Heisenberg ferromagnet to obtain analytical expression for skyrmion hopping integral as a function of distance. It appears the skyrmion hopping is restricted…

Condensed Matter · Physics 2007-05-23 R. A. Istomin , A. S. Moskvin

Searching for low-power-consuming and high-efficient methods for well controllable driving of skyrmion motion is one of the most concerned issues for future spintronic applications, raising high concern with an appreciated choice of…

Applied Physics · Physics 2022-09-13 Y. Liu , Z. Jin , T. T. Liu , Z. P. Hou , D. Y. Chen , Z. Fan , M. Zeng , X. B. Lu , X. S. Gao , M. H. Qin , J. M. Liu

We outline a theory describing the quasi-classical dynamics of composite fermions in the fractional quantum Hall regime in the potentials of arbitrary nanostructures. By an appropriate parametrization of time we show that their trajectories…

Condensed Matter · Physics 2009-10-28 R. Fleischmann , T. Geisel , C. Holzknecht , R. Ketzmerick