Quantum states of a skyrmion in a two-dimensional antiferromagnet

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

doi:10.1103/physrevb.103.224423

Title: Quantum states of a skyrmion in a two-dimensional antiferromagnet

Abstract

Quantum states of a skyrmion in a two-dimensional antiferromagnetic lattice are obtained by quantizing the scaling parameter of Belavin-Polyakov model. Skyrmion classical collapse due to violation of the translational invariance of the continuous spin-field model by the lattice is replaced in quantum mechanics by transitions between discrete energy levels of the skyrmion. Here, the rates of transitions due to emission of magnons are computed. Ways of detecting quantization of skyrmion states are discussed.

Authors:

^[1];

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

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

Publication Date:: Mon Jun 21 00:00:00 EDT 2021

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

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

OSTI Identifier:: 1797709

Grant/Contract Number:: FG02-93ER45487

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 103; Journal Issue: 22; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Magnons; Skyrmions; Spin dynamics; Antiferromagnets

Citation Formats


                    Derras-Chouk, Amel, Chudnovsky, Eugene M., and Garanin, Dmitry A. Quantum states of a skyrmion in a two-dimensional antiferromagnet.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevb.103.224423.

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                    Derras-Chouk, Amel, Chudnovsky, Eugene M., & Garanin, Dmitry A. Quantum states of a skyrmion in a two-dimensional antiferromagnet.  United States.  https://doi.org/10.1103/physrevb.103.224423

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                    Derras-Chouk, Amel, Chudnovsky, Eugene M., and Garanin, Dmitry A. Mon .  
"Quantum states of a skyrmion in a two-dimensional antiferromagnet".  United States.  https://doi.org/10.1103/physrevb.103.224423.  https://www.osti.gov/servlets/purl/1797709.

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@article{osti_1797709,

  title        = {Quantum states of a skyrmion in a two-dimensional antiferromagnet},

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

  abstractNote = {Quantum states of a skyrmion in a two-dimensional antiferromagnetic lattice are obtained by quantizing the scaling parameter of Belavin-Polyakov model. Skyrmion classical collapse due to violation of the translational invariance of the continuous spin-field model by the lattice is replaced in quantum mechanics by transitions between discrete energy levels of the skyrmion. Here, the rates of transitions due to emission of magnons are computed. Ways of detecting quantization of skyrmion states are discussed.},

  doi          = {10.1103/physrevb.103.224423},

  journal      = {Physical Review B},

  number       = 22,

  volume       = 103,

  place        = {United States},

  year         = {Mon Jun 21 00:00:00 EDT 2021},

  month        = {Mon Jun 21 00:00:00 EDT 2021}

}

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Title: Quantum states of a skyrmion in a two-dimensional antiferromagnet

Abstract

Citation Formats

Magnetic skyrmion annihilation by quantum mechanical tunneling journal, August 2020

Quantum motion and level quantization of a skyrmion in a pinning potential in chiral magnets journal, August 2013

Size and Shape of Strings journal, August 1988

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

Quantum skyrmions in two-dimensional chiral magnets journal, October 2016

Quantum fluctuations stabilize skyrmion textures journal, December 2015

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

Quantum collapse of a magnetic skyrmion journal, July 2018

Probing the topology of the quantum analog of a classical skyrmion journal, February 2021

Quantum Skyrmions in Frustrated Ferromagnets journal, December 2019

Dynamics of magnon fluid in Dzyaloshinskii-Moriya magnet and its manifestation in magnon-Skyrmion scattering journal, March 2015

Magnon-skyrmion scattering in chiral magnets journal, September 2014

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

Solitons with Internal Degrees of Freedom in 1D Heisenberg Antiferromagnets journal, March 1995

Skyrmions in a Doped Antiferromagnet journal, June 2011

Physical foundations and basic properties of magnetic skyrmions journal, July 2020

O(3) Nonlinear σ Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions journal, August 1988

Topological Solitons book, January 2010

The 2020 skyrmionics roadmap journal, June 2020

Imaging non-collinear antiferromagnetic textures via single spin relaxometry journal, February 2021

Experimental identification of two distinct skyrmion collapse mechanisms journal, January 2021

Stabilty of biskyrmions in centrosymmetric magnetic films journal, July 2019

Magnetic skyrmion annihilation by quantum mechanical tunneling
journal, August 2020

Quantum motion and level quantization of a skyrmion in a pinning potential in chiral magnets
journal, August 2013

Size and Shape of Strings
journal, August 1988

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

Quantum skyrmions in two-dimensional chiral magnets
journal, October 2016

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journal, December 2015

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journal, July 2012

Quantum collapse of a magnetic skyrmion
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journal, December 2019

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Magnon-skyrmion scattering in chiral magnets
journal, September 2014

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

Solitons with Internal Degrees of Freedom in 1D Heisenberg Antiferromagnets
journal, March 1995

Skyrmions in a Doped Antiferromagnet
journal, June 2011

Physical foundations and basic properties of magnetic skyrmions
journal, July 2020

O(3) Nonlinear $σ$ Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions
journal, August 1988

Topological Solitons
book, January 2010

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journal, June 2020

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journal, February 2021

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journal, January 2021

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journal, July 2019