skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on August 22, 2020

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 10 4 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:
ORCiD logo [1]; ORCiD logo [1];  [1]
  1. City Univ. of New York (CUNY), NY (United States)
Publication Date:
Research Org.:
City Univ. of New York (CUNY), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
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.
Derras-Chouk, Amel, Chudnovsky, Eugene M., & Garanin, Dmitry A. Thermal collapse of a skyrmion. United States. doi:10.1063/1.5109728.
Derras-Chouk, Amel, Chudnovsky, Eugene M., and Garanin, Dmitry A. Thu . "Thermal collapse of a skyrmion". United States. doi:10.1063/1.5109728.
@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 = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on August 22, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Byrne, D. J.; Coffey, W. T.; Kalmykov, Yu. P.
  • Physica A: Statistical Mechanics and its Applications, Vol. 527
  • DOI: 10.1016/j.physa.2019.121195

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


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

  • Boulle, Olivier; Vogel, Jan; Yang, Hongxin
  • Nature Nanotechnology, Vol. 11, Issue 5
  • DOI: 10.1038/nnano.2015.315

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

  • Moreau-Luchaire, C.; Moutafis, C.; Reyren, N.
  • Nature Nanotechnology, Vol. 11, Issue 5
  • DOI: 10.1038/nnano.2015.313

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

  • Tomasello, R.; Martinez, E.; Zivieri, R.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep06784

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

  • Koshibae, Wataru; Nagaosa, Naoto
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6148

Theory of skyrmions in bilayer systems
journal, February 2017

  • Koshibae, Wataru; Nagaosa, Naoto
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep42645

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

  • Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A.
  • Physical Review B, Vol. 98, Issue 2
  • DOI: 10.1103/PhysRevB.98.024423

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

  • Hagemeister, J.; Romming, N.; von Bergmann, K.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9455

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

  • Wild, Johannes; Meier, Thomas N. G.; Pöllath, Simon
  • Science Advances, Vol. 3, Issue 9
  • DOI: 10.1126/sciadv.1701704

Magnetic skyrmions: from fundamental to applications
journal, September 2016

  • Finocchio, Giovanni; Büttner, Felix; Tomasello, Riccardo
  • Journal of Physics D: Applied Physics, Vol. 49, Issue 42
  • DOI: 10.1088/0022-3727/49/42/423001

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


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

  • Braun, Hans‐Benjamin
  • Journal of Applied Physics, Vol. 76, Issue 10
  • DOI: 10.1063/1.358279

Writing skyrmions with a magnetic dipole
journal, September 2018

  • Garanin, Dmitry A.; Capic, Daniel; Zhang, Senfu
  • Journal of Applied Physics, Vol. 124, Issue 11
  • DOI: 10.1063/1.5044273

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

  • Zhang, Senfu; Zhang, Junwei; Zhang, Qiang
  • Applied Physics Letters, Vol. 112, Issue 13
  • DOI: 10.1063/1.5021172

Topological properties and dynamics of magnetic skyrmions
journal, December 2013


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

  • Zhang, Xichao; Ezawa, Motohiko; Zhou, Yan
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep09400

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

  • Zhang, Senfu; Zhang, Junwei; Wen, Yan
  • Applied Physics Letters, Vol. 113, Issue 19
  • DOI: 10.1063/1.5053983

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