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20002026
most citedStability of magnetic vortex in soft magnetic nano-sized circular cylinder

164 citations · 742 across the 35 of their papers we have counts for

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31 papers · 1 filter

cond-mat.mes-hall2026

Magnetic small-angle neutron scattering by a nanocrystalline ferromagnet with anisotropic exchange interaction

Konstantin L. Metlov, Vladislav D. Zaporozhets

A micromagnetic framework for magnetic small-angle neutron scattering (SANS) is presented that accounts for weak symmetric anisotropic exchange in centrosymmetric nanocrystalline f…

cond-mat.mes-hall2026

Spatial decay of isolated magnetic hopfions in chiral helimagnets

Konstantin L. Metlov, Maksim M. Gordei

Magnetic hopfions in chiral magnets are topological solitons, localized in three dimensions. But is their localization strong? To address this question we derive an asymptotic expa…

cond-mat.mes-hall2025

Three-dimensional magnetization textures as quaternionic functions

Konstantin L. Metlov, Andrei B. Bogatyrëv

Thanks to the recent progress in bulk full three-dimensional nanoscale magnetization distribution imaging, there is a growing interest to three-dimensional (3D) magnetization textu…

cond-mat.mes-hall2025

Switching of a closed mobile vacancy based memristor, whose specific resistance linearly depends on local vacancy concentration

Irina V. Boylo, Konstantin L. Metlov

The linear (proportional to local vacancy concentration) term in specific resistance of the material does not directly contribute to the change of memristor's total resistance when…

cond-mat.mes-hall2024★ 1 cited

Small-angle neutron scattering signatures of magnetic hopfions

Konstantin L. Metlov, Andreas Michels

Magnetic hopfions are three-dimensional localized magnetic topological solitons which can exist in the bulk of magnetic materials. Based on a Ritz model for magnetic hopfions in a…

cond-mat.mes-hall2024★ 3 cited

Magnetostatic bounds on stability of hopfions in bulk helimagnets

Konstantin L. Metlov

Magnetic hopfions are three-dimensional localized topological solitons in the volume of a magnet. In this work, starting with a classical free energy density of a helimagnet, an ap…

cond-mat.mes-hall2023★ 7 cited

Fingerprint of vortex-like flux closure in isotropic Nd-Fe-B bulk magnet

Mathias Bersweiler, Yojiro Oba, Evelyn Pratami Sinaga +5

Taking advantage of recent progress in neutron instrumentation and in the understanding of magnetic-field-dependent small-angle neutron scattering, here, we study the three-dimensi…

cond-mat.mes-hall2023★ 3 cited

Topological magnetic memory with multiply-connected planar magnetic nanoelements

Konstantin L. Metlov

A coding scheme is introduced, allowing to store a set of linked bit strings in planar magnetic nanoelements with holes. Analytical expressions for the corresponding magnetization…

cond-mat.mes-hall2022★ 4 cited

Two types of metastable magnetic hopfions

Konstantin L. Metlov

Localized magnetic topological solitons with Hopf index of 1 in an unbounded bulk magnet are studied theoretically, starting with the classical micromagnetic Hamiltonian. It is sho…

cond-mat.mes-hall2022★ 9 cited

Small-angle neutron scattering by spatially inhomogeneous ferromagnets with a nonzero average uniaxial anisotropy

V. D. Zaporozhets, Y. Oba, A. Michels +1

Micromagnetic small-angle neutron scattering theory is well established for analyzing spin-misalignment scattering data of bulk ferromagnets. Here, this theory is extended to allow…

cond-mat.mes-hall2020★ 101 cited

Experimental Observation of Vortex Rings in a Bulk Magnet

Claire Donnelly, Konstantin L. Metlov, Valerio Scagnoli +7

Vortex rings are remarkably stable structures occurring in numerous systems: for example in turbulent gases, where they are at the origin of weather phenomena [1]; in fluids with i…

cond-mat.mes-hall2018★ 4 cited

Metastable states of sub-micron scale ferromagnetic periodic antidot arrays

Andrei B. Bogatyrëv, Konstantin L. Metlov

The magnetic textures on nanoscale possess topological features due to the continuity of the magnetization vector field and its boundary conditions. In thin planar nanoelements, wh…

cond-mat.mes-hall2017★ 10 cited

What makes magnetic skyrmions different from magnetic bubbles ?

Andrei B. Bogatyrëv, Konstantin L. Metlov

A large enough piece of ferromagnet is usually not magnetized uniformly, but develops a magnetization texture. In thin films these textures can be doubly-periodic. Such are the wel…

cond-mat.mes-hall2016★ 7 cited

Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements

Andrei B. Bogatyrëv, Konstantin L. Metlov

Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of…

cond-mat.mes-hall2016★ 25 cited

Effect of Dzyaloshinski-Moriya interaction on spin-polarized neutron scattering

Andreas Michels, Denis Mettus, Dirk Honecker +1

For magnetic materials containing many lattice imperfections (e.g., nanocrystalline magnets), the relativistic Dzyaloshinski-Moriya (DM) interaction may result in nonuniform spin t…

cond-mat.mes-hall2015★ 14 cited

Magnetic neutron scattering by magnetic vortices in thin submicron-sized soft ferromagnetic cylinders

Konstantin L. Metlov, Andreas Michels

Using analytical expressions for the magnetization textures of thin submicron-sized magnetic cylinders in vortex state, we derive closed-form algebraic expressions for the ensuing…

cond-mat.mes-hall2015★ 1 cited

Magnetic states in multiply-connected flat nano-elements

Andrei B. Bogatyrev, Konstantin L. Metlov

Flat magnetic nano-elements are an essential component of current and future spintronic devices. By shaping an element it is possible to select and stabilize chosen metastable magn…

cond-mat.mes-hall2013★ 10 cited

Vortex precession frequency and its amplitude-dependent shift in cylindrical nanomagnets

Konstantin L. Metlov

Frequency of free magnetic vortex precession in circular soft ferromagnetic nano-cylinders (magnetic dots) of various sizes is an important parameter, used in design of spintronic…

cond-mat.mes-hall2013★ 21 cited

Vortex mechanics in planar nano-magnets

Konstantin L. Metlov

A collective-variable approach for the study of non-linear dynamics of magnetic textures in planar nano-magnets is proposed. The variables are just arbitrary parameters (complex or…

cond-mat.mes-hall2012★ 14 cited

Large vortex state in ferromagnetic disks

Konstantin L. Metlov

Magnetic vortices in soft ferromagnetic nano-disks have been extensively studied for at least several decades both for their fundamental (as a "live" macroscopic realization of a f…

cond-mat.mes-hall2012★ 5 cited

Analytical approximations to the core radius and energy of magnetic vortex in thin ferromagnetic disks

Konstantin L. Metlov

The energy of magnetic vortex core and its equilibrium radius in thin circular cylinder were first presented by N.A. Usov and S.E. Peschany in 1994. Yet, the magnetostatic function…

cond-mat.mes-hall2010★ 38 cited

Magnetization patterns in ferromagnetic nano-elements as functions of complex variable

Konstantin L. Metlov

Assumption of certain hierarchy of soft ferromagnet energy terms, realized in small enough flat nano-elements, allows to obtain explicit expressions for their magnetization distrib…

cond-mat.mes-hall2009★ 4 cited

A model for flexural phonon dispersion in graphite and graphene

Konstantin L. Metlov

A simple model for flexural phonons in graphite (and graphene, corresponding to the limiting case of infinite distance between carbon planes) is proposed, in which the local dipola…

cond-mat.mes-hall2007★ 63 cited

Map of metastable states for thin circular magnetic nano-cylinders

Konstantin L. Metlov, Young Pak Lee

Nano-magnetic systems of artificially shaped ferromagnetic islands, recently became a popular subject due to their current and potential applications in spintronics, magneto-photon…