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Related papers: Skyrmions in quantum Hall systems are dynamical ob…

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Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma-model. The reference, classical, solutions depend upon the interaction between the electrons and exhibit completely different asymptotic profiles for the physical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , S. L. Sondhi

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

A moving magnetic skyrmion exhibits transverse deflection. This so-called skyrmion Hall effect has been explained by the Thiele equation. Here, we provide an alternative interpretation of the skyrmion Hall effect based on the dynamics of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Kyoung-Woong Moon , Jungbum Yoon , Changsoo Kim , Jae-Hun Sim , Se Kwon Kim , Soong-Geun Je , Chanyong Hwang

Magnetic skyrmions are nanoscale spin textures touted as next-generation computing elements. When subjected to lateral currents, skyrmions move at considerable speeds. Their topological charge results in an additional transverse deflection…

The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field. However, spin currents can also be present without transport of spins, for example, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Tianqi Chen , Tim Byrnes

Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimised for a periodic distribution of Skyrmions…

Condensed Matter · Physics 2019-08-15 A. G. Green , I. I. Kogan , A. M. Tsvelik

We study the quantum propagation of a Skyrmion in chiral magnetic insulators by generalizing the micromagnetic equations of motion to a finite-temperature path integral formalism, using field theoretic tools. Promoting the center of the…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Christina Psaroudaki , Silas Hoffman , Jelena Klinovaja , Daniel Loss

Skyrmions can be driven by spin-orbit torques as a result of the spin Hall effect. Here we model an additional contribution in ultra-thin multilayers, arising from the spin accumulation at heavy metal / ferromagnetic interfaces and observe…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 C. R. MacKinnon , S. Lepadatu , T. Mercer , P. Bissell

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

We determine the charge and statistical angle of skyrmions in quantum Hall ferromagnets by performing Berry phase calculations based on the microscopic variational wave functions for many-skyrmion states. We find, in contradiction to a…

Condensed Matter · Physics 2009-10-28 Kun Yang , S. L. Sondhi

Scaling properties of the quantum Hall metal-insulator transition are severely affected by finite size effects in small systems. Surprisingly, despite the narrow spatial range where probability structure functions exhibit multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Moriconi , Ana L. C. Pereira , P. A. Schulz

An improved composite-boson theory of quantum Hall ferromagnets is proposed. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa , K. Sasaki

Competing magnetic interactions may stabilize smooth magnetization textures that can be characterized by a topological winding number. Such textures, which are spatially localized within a two-dimensional plane, are commonly known as…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Alexander P. Petrović , Christina Psaroudaki , Peter Fischer , Markus Garst , Christos Panagopoulos

The non-monotonic behavior of the NMR signal linewidth in the 2D quantum Hall system is explained in terms of the interplay between skyrmions localization, due to the influence of disorder, and the non-trivial temperature dependent skyrmion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Villares Ferrer , R. L. Doretto , A. O. Caldeira

Magnetic skyrmions are topologically stable objects that are made with a bunch of spins tightly arranged in a smooth fashion. Their topological nature provides unusual and complex transport properties, such as the skyrmion Hall effect.…

Materials Science · Physics 2022-01-19 Bom Soo Kim

We carry out a throughout study of the topological Hall and topological spin Hall effects in disordered skyrmionic systems: the dimensionless (spin) Hall angles are evaluated across the energy band structure in the multiprobe…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 P. B. N'diaye , C. A. Akosa , A. Manchon

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

We apply the theory of elasticity to study the effects of skyrmion mass on lattice dynamics in quantum Hall systems. We find that massive Skyrme lattices behave like a Wigner crystal in the presence of a uniform perpendicular magnetic…

Condensed Matter · Physics 2014-10-13 M. Abolfath , Kieran Mullen , H. T. C. Stoof

By carefully considering a family of wave functions for Skyrmions in simple quantum Hall states, whose members are labelled by a non-negative integer and which properly generalizes the traditional Laughlin quasiparticle, we argue that the…

Condensed Matter · Physics 2007-05-23 Chetan Nayak , Frank Wilczek

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

Strongly Correlated Electrons · Physics 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske
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