Thermal collapse of a skyrmion

Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A.

doi:10.1063/1.5109728

Title: Thermal collapse of a skyrmion

Abstract

Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice has been investigated. The method is based upon solution of the system of stochastic Landau-Lifshitz equations for up to 10⁴ spins. The recently developed pulse-noise algorithm has been used for the stochastic component of the equations. The collapse rate follows the Arrhenius law. Analytical formulas derived within a continuous spin-field model support numerically-obtained values of the energy barrier. The pre-exponential factor is independent of the phenomenological damping constant that implies that the skyrmion is overcoming the energy barrier due to the energy exchange with the rest of the spin system. Our findings agree with experiments, as well as with recent numerical results obtained by other methods.

Authors:

^[1];

^[1]; Garanin, Dmitry A. ^[1]

City Univ. of New York (CUNY), NY (United States)

Publication Date:: Thu Aug 22 00:00:00 EDT 2019

Research Org.:: City Univ. of New York (CUNY), NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1593707

Alternate Identifier(s):: OSTI ID: 1567934

Grant/Contract Number:: FG02-93ER45487; DEFG02-93ER45487

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Applied Physics

Additional Journal Information:: Journal Volume: 126; Journal Issue: 8; Journal ID: ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; skyrmion; thermal collapse; stochastic model

Citation Formats


                    Derras-Chouk, Amel, Chudnovsky, Eugene M., and Garanin, Dmitry A. Thermal collapse of a skyrmion.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5109728.

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                    Derras-Chouk, Amel, Chudnovsky, Eugene M., & Garanin, Dmitry A. Thermal collapse of a skyrmion.  United States.  https://doi.org/10.1063/1.5109728

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                    Derras-Chouk, Amel, Chudnovsky, Eugene M., and Garanin, Dmitry A. Thu .  
"Thermal collapse of a skyrmion".  United States.  https://doi.org/10.1063/1.5109728.  https://www.osti.gov/servlets/purl/1593707.

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@article{osti_1593707,

  title        = {Thermal collapse of a skyrmion},

  author       = {Derras-Chouk, Amel and Chudnovsky, Eugene M. and Garanin, Dmitry A.},

  abstractNote = {Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice has been investigated. The method is based upon solution of the system of stochastic Landau-Lifshitz equations for up to 104 spins. The recently developed pulse-noise algorithm has been used for the stochastic component of the equations. The collapse rate follows the Arrhenius law. Analytical formulas derived within a continuous spin-field model support numerically-obtained values of the energy barrier. The pre-exponential factor is independent of the phenomenological damping constant that implies that the skyrmion is overcoming the energy barrier due to the energy exchange with the rest of the spin system. Our findings agree with experiments, as well as with recent numerical results obtained by other methods.},

  doi          = {10.1063/1.5109728},

  journal      = {Journal of Applied Physics},

  number       = 8,

  volume       = 126,

  place        = {United States},

  year         = {Thu Aug 22 00:00:00 EDT 2019},

  month        = {Thu Aug 22 00:00:00 EDT 2019}

}

Copy to clipboard

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Similar Records

Title: Thermal collapse of a skyrmion

Abstract

Citation Formats

On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers journal, August 2019

Uniform and nonuniform thermal switching of magnetic particles journal, October 2018

Room-temperature chiral magnetic skyrmions in ultrathin magnetic nanostructures journal, January 2016

Path to collapse for an isolated Néel skyrmion journal, June 2016

Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature journal, January 2016

Field-Dependent Size and Shape of Single Magnetic Skyrmions journal, May 2015

Laser-Induced Skyrmion Writing and Erasing in an Ultrafast Cryo-Lorentz Transmission Electron Microscope journal, March 2018

The properties of isolated chiral skyrmions in thin magnetic films journal, May 2016

A strategy for the design of skyrmion racetrack memories journal, October 2014

Creation of skyrmions and antiskyrmions by local heating journal, October 2014

Theory of skyrmions in bilayer systems journal, February 2017

Paths to collapse for isolated skyrmions in few-monolayer ferromagnetic films journal, June 2017

Pulse-noise approach for classical spin systems journal, January 2017

Collapse of skyrmions in two-dimensional ferromagnets and antiferromagnets journal, July 2012

Quantum collapse of a magnetic skyrmion journal, July 2018

Skyrmions in magnetic multilayers journal, August 2017

Lifetime of racetrack skyrmions journal, February 2018

Writing and Deleting Single Magnetic Skyrmions journal, August 2013

Thermal stability and topological protection of skyrmions in nanotracks journal, June 2017

Stability of single skyrmionic bits journal, October 2015

Theory of isolated magnetic skyrmions: From fundamentals to room temperature applications journal, March 2018

Magnetic skyrmions: advances in physics and potential applications journal, June 2017

Entropy-limited topological protection of skyrmions journal, September 2017

Magnetic skyrmions: from fundamental to applications journal, September 2016

Minimal radius of magnetic skyrmions: statics and dynamics journal, April 2016

Kramers’s rate theory, broken symmetries, and magnetization reversal (invited) journal, November 1994

Writing skyrmions with a magnetic dipole journal, September 2018

Topological Solitons book, January 2010

Direct writing of room temperature and zero field skyrmion lattices by a scanning local magnetic field journal, March 2018

Topological properties and dynamics of magnetic skyrmions journal, December 2013

The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering book, May 2017

Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes journal, October 2018

Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions journal, March 2015

Brownian motion in a field of force and the diffusion model of chemical reactions journal, April 1940

Thermal Fluctuations of a Single-Domain Particle journal, June 1963

Interplay between size and stability of magnetic skyrmions journal, June 2018

Lifetime of metastable states in resonant tunneling structures journal, February 2003

Creation of a thermally assisted skyrmion lattice in Pt/Co/Ta multilayer films journal, November 2018

Stochastic current switching in bistable resonant tunneling systems journal, April 2005

Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations journal, January 2016

Enhanced skyrmion stability due to exchange frustration journal, September 2017

Deriving the skyrmion Hall angle from skyrmion lattice dynamics journal, May 2021

Topological solitons journal, December 2012

Entropy-limited topological protection of skyrmions text, January 2017

The Langevin equation journal, November 2017

Field-Dependent Size and Shape of Single Magnetic Skyrmions text, January 2015

Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations text, January 2015

Minimal Radius of Magnetic Skyrmions: Statics and Dynamics preprint, January 2016

Pulse-noise approach for classical spin systems text, January 2016

Skyrmions in Magnetic Multilayers text, January 2017

Laser-Induced Skyrmion Writing and Erasing in an Ultrafast Cryo-Lorentz Transmission Electron Microscopy text, January 2017

Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes text, January 2018

Uniform and non-uniform thermal switching of magnetic particles text, January 2018

On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers text, January 2019

Lifetime of metastable states in resonant tunneling structures text, January 2002

Stochastic current switching in bistable resonant tunneling systems text, January 2004

Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets text, January 2019

On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers
journal, August 2019

Uniform and nonuniform thermal switching of magnetic particles
journal, October 2018

Room-temperature chiral magnetic skyrmions in ultrathin magnetic nanostructures
journal, January 2016

Path to collapse for an isolated Néel skyrmion
journal, June 2016

Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmions at room temperature
journal, January 2016

Field-Dependent Size and Shape of Single Magnetic Skyrmions
journal, May 2015

Laser-Induced Skyrmion Writing and Erasing in an Ultrafast Cryo-Lorentz Transmission Electron Microscope
journal, March 2018

The properties of isolated chiral skyrmions in thin magnetic films
journal, May 2016

A strategy for the design of skyrmion racetrack memories
journal, October 2014

Creation of skyrmions and antiskyrmions by local heating
journal, October 2014

Theory of skyrmions in bilayer systems
journal, February 2017

Paths to collapse for isolated skyrmions in few-monolayer ferromagnetic films
journal, June 2017

Pulse-noise approach for classical spin systems
journal, January 2017

Collapse of skyrmions in two-dimensional ferromagnets and antiferromagnets
journal, July 2012

Quantum collapse of a magnetic skyrmion
journal, July 2018

Skyrmions in magnetic multilayers
journal, August 2017

Lifetime of racetrack skyrmions
journal, February 2018

Writing and Deleting Single Magnetic Skyrmions
journal, August 2013

Thermal stability and topological protection of skyrmions in nanotracks
journal, June 2017

Stability of single skyrmionic bits
journal, October 2015

Theory of isolated magnetic skyrmions: From fundamentals to room temperature applications
journal, March 2018

Magnetic skyrmions: advances in physics and potential applications
journal, June 2017

Entropy-limited topological protection of skyrmions
journal, September 2017

Magnetic skyrmions: from fundamental to applications
journal, September 2016

Minimal radius of magnetic skyrmions: statics and dynamics
journal, April 2016

Kramers’s rate theory, broken symmetries, and magnetization reversal (invited)
journal, November 1994

Writing skyrmions with a magnetic dipole
journal, September 2018

Topological Solitons
book, January 2010

Direct writing of room temperature and zero field skyrmion lattices by a scanning local magnetic field
journal, March 2018

Topological properties and dynamics of magnetic skyrmions
journal, December 2013

The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering
book, May 2017

Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes
journal, October 2018

Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
journal, March 2015

Brownian motion in a field of force and the diffusion model of chemical reactions
journal, April 1940

Thermal Fluctuations of a Single-Domain Particle
journal, June 1963

Interplay between size and stability of magnetic skyrmions
journal, June 2018

Lifetime of metastable states in resonant tunneling structures
journal, February 2003

Creation of a thermally assisted skyrmion lattice in Pt/Co/Ta multilayer films
journal, November 2018

Stochastic current switching in bistable resonant tunneling systems
journal, April 2005

Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations
journal, January 2016

Enhanced skyrmion stability due to exchange frustration
journal, September 2017

Deriving the skyrmion Hall angle from skyrmion lattice dynamics
journal, May 2021

Topological solitons
journal, December 2012

Entropy-limited topological protection of skyrmions
text, January 2017

The Langevin equation
journal, November 2017

Field-Dependent Size and Shape of Single Magnetic Skyrmions
text, January 2015

Complex magnetic phase diagram and skyrmion lifetime in an ultrathin film from atomistic simulations
text, January 2015

Minimal Radius of Magnetic Skyrmions: Statics and Dynamics
preprint, January 2016

Pulse-noise approach for classical spin systems
text, January 2016

Skyrmions in Magnetic Multilayers
text, January 2017

Laser-Induced Skyrmion Writing and Erasing in an Ultrafast Cryo-Lorentz Transmission Electron Microscopy
text, January 2017

Thermal stability of metastable magnetic skyrmions: Entropic narrowing and significance of internal eigenmodes
text, January 2018

Uniform and non-uniform thermal switching of magnetic particles
text, January 2018

On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers
text, January 2019

Lifetime of metastable states in resonant tunneling structures
text, January 2002

Stochastic current switching in bistable resonant tunneling systems
text, January 2004

Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets
text, January 2019