Localization of magnon modes in a curved magnetic nanowire

Gaididei, Yuri; Kravchuk, Volodymyr P.; Mertens, Franz G.; Pylypovskyi, Oleksandr V.; Saxena, Avadh; Sheka, Denis D.; Volkov, Oleksii M.

doi:10.1063/1.5041428

Title: Localization of magnon modes in a curved magnetic nanowire

Abstract

Spin waves in magnetic nanowires can be bound by a local bending of the wire. The eigenfrequency of a truly local magnon mode is determined by the curvature: a general analytical expression is established for any infinitesimally weak localized curvature of the wire. In conclusion, the interaction of the local mode with spin waves, propagating through the bend, results in scattering features, which is well confirmed by spin-lattice simulations.

Authors:

Gaididei, Yuri ^[1]; Kravchuk, Volodymyr P. ^[2]; Mertens, Franz G. ^[3]; Pylypovskyi, Oleksandr V. ^[4];

^[5]; Sheka, Denis D. ^[4]; Volkov, Oleksii M. ^[6]

Bogolyubov Institute for Theoretical Physics, Kyiv (Ukraine)
Bogolyubov Institute for Theoretical Physics, Kyiv (Ukraine); IFW Dresden, Dresden (Germany)
Univ. of Bayreuth, Bayreuth (Germany)
Taras Shevchenko National Univ. of Kyiv, Kyiv (Ukraine)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Helmholtz-Zentrum Dresden-Rossendorf e. V., Dresden (Germany)

Publication Date:: 2018-07-06

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1481975

Report Number(s):: LA-UR-18-20270
Journal ID: ISSN 1063-777X

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Low Temperature Physics

Additional Journal Information:: Journal Volume: 44; Journal Issue: 7; Journal ID: ISSN 1063-777X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; Material Science

Citation Formats


                    Gaididei, Yuri, Kravchuk, Volodymyr P., Mertens, Franz G., Pylypovskyi, Oleksandr V., Saxena, Avadh, Sheka, Denis D., and Volkov, Oleksii M. Localization of magnon modes in a curved magnetic nanowire.  United States: N. p., 2018. 
        Web.  doi:10.1063/1.5041428.

Copy to clipboard


                    Gaididei, Yuri, Kravchuk, Volodymyr P., Mertens, Franz G., Pylypovskyi, Oleksandr V., Saxena, Avadh, Sheka, Denis D., & Volkov, Oleksii M. Localization of magnon modes in a curved magnetic nanowire.  United States.  doi:https://doi.org/10.1063/1.5041428

Copy to clipboard


                    Gaididei, Yuri, Kravchuk, Volodymyr P., Mertens, Franz G., Pylypovskyi, Oleksandr V., Saxena, Avadh, Sheka, Denis D., and Volkov, Oleksii M. Fri .  
        "Localization of magnon modes in a curved magnetic nanowire".  United States.  doi:https://doi.org/10.1063/1.5041428.  https://www.osti.gov/servlets/purl/1481975.

Copy to clipboard


                    
@article{osti_1481975,

  title        = {Localization of magnon modes in a curved magnetic nanowire},

  author       = {Gaididei, Yuri and Kravchuk, Volodymyr P. and Mertens, Franz G. and Pylypovskyi, Oleksandr V. and Saxena, Avadh and Sheka, Denis D. and Volkov, Oleksii M.},

  abstractNote = {Spin waves in magnetic nanowires can be bound by a local bending of the wire. The eigenfrequency of a truly local magnon mode is determined by the curvature: a general analytical expression is established for any infinitesimally weak localized curvature of the wire. In conclusion, the interaction of the local mode with spin waves, propagating through the bend, results in scattering features, which is well confirmed by spin-lattice simulations.},

  doi          = {10.1063/1.5041428},

  journal      = {Low Temperature Physics},

  number       = 7,

  volume       = 44,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: https://doi.org/10.1063/1.5041428

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Zur Theorie des Ferromagnetismus
journal, March 1930

Bloch, F.
Zeitschrift f�r Physik, Vol. 61, Issue 3-4
DOI: 10.1007/BF01339661

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940

Holstein, T.; Primakoff, H.
Physical Review, Vol. 58, Issue 12
DOI: 10.1103/PhysRev.58.1098

General Theory of Spin-Wave Interactions
journal, June 1956

Dyson, Freeman J.
Physical Review, Vol. 102, Issue 5
DOI: 10.1103/PhysRev.102.1217

Magnonics
journal, June 2010

Kruglyak, V. V.; Demokritov, S. O.; Grundler, D.
Journal of Physics D: Applied Physics, Vol. 43, Issue 26
DOI: 10.1088/0022-3727/43/26/264001

The building blocks of magnonics
journal, October 2011

Lenk, B.; Ulrichs, H.; Garbs, F.
Physics Reports, Vol. 507, Issue 4-5
DOI: 10.1016/j.physrep.2011.06.003

Magnon transistor for all-magnon data processing
journal, August 2014

Chumak, Andrii V.; Serga, Alexander A.; Hillebrands, Burkard
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5700

Magnon spintronics
journal, June 2015

Chumak, A. V.; Vasyuchka, V. I.; Serga, A. A.
Nature Physics, Vol. 11, Issue 6
DOI: 10.1038/nphys3347

Spin waves turning a corner
journal, July 2012

Vogt, K.; Schultheiss, H.; Jain, S.
Applied Physics Letters, Vol. 101, Issue 4
DOI: 10.1063/1.4738887

How do spin waves pass through a bend?
journal, October 2013

Xing, Xiangjun; Yu, Yongli; Li, Shuwei
Scientific Reports, Vol. 3, Issue 1
DOI: 10.1038/srep02958

A reconfigurable waveguide for energy-efficient transmission and local manipulation of information in a nanomagnetic device
journal, February 2016

Haldar, Arabinda; Kumar, Dheeraj; Adeyeye, Adekunle Olusola
Nature Nanotechnology, Vol. 11, Issue 5
DOI: 10.1038/nnano.2015.332

High-performance giant magnetoresistive sensorics on flexible Si membranes
journal, April 2015

Pérez, Nicolás; Melzer, Michael; Makarov, Denys
Applied Physics Letters, Vol. 106, Issue 15
DOI: 10.1063/1.4918652

Stretchable Magnetoelectronics
journal, June 2011

Melzer, Michael; Makarov, Denys; Calvimontes, Alfredo
Nano Letters, Vol. 11, Issue 6
DOI: 10.1021/nl201108b

Printable Magnetoelectronics
journal, April 2013

Makarov, Denys; Karnaushenko, Daniil; Schmidt, Oliver G.
ChemPhysChem, Vol. 14, Issue 9
DOI: 10.1002/cphc.201300162

Magnetism in curved geometries
journal, August 2016

Streubel, Robert; Fischer, Peter; Kronast, Florian
Journal of Physics D: Applied Physics, Vol. 49, Issue 36
DOI: 10.1088/0022-3727/49/36/363001

Curvature Effects in Thin Magnetic Shells
journal, June 2014

Gaididei, Yuri; Kravchuk, Volodymyr P.; Sheka, Denis D.
Physical Review Letters, Vol. 112, Issue 25
DOI: 10.1103/PhysRevLett.112.257203

Curvature effects in statics and dynamics of low dimensional magnets
journal, March 2015

Sheka, Denis D.; Kravchuk, Volodymyr P.; Gaididei, Yuri
Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 12
DOI: 10.1088/1751-8113/48/12/125202

Magnetization in narrow ribbons: curvature effects
journal, September 2017

Gaididei, Yuri; Goussev, Arseni; Kravchuk, Volodymyr P.
Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 38
DOI: 10.1088/1751-8121/aa8179

Curvature-Induced Magnetochirality
journal, September 2013

Hertel, Riccardo
SPIN, Vol. 03, Issue 03
DOI: 10.1142/S2010324713400092

Curvature-induced domain wall pinning
journal, September 2015

Yershov, Kostiantyn V.; Kravchuk, Volodymyr P.; Sheka, Denis D.
Physical Review B, Vol. 92, Issue 10
DOI: 10.1103/PhysRevB.92.104412

Coupling of Chiralities in Spin and Physical Spaces: The Möbius Ring as a Case Study
journal, May 2015

Pylypovskyi, Oleksandr V.; Kravchuk, Volodymyr P.; Sheka, Denis D.
Physical Review Letters, Vol. 114, Issue 19
DOI: 10.1103/PhysRevLett.114.197204

Torsion-induced effects in magnetic nanowires
journal, August 2015

Sheka, Denis D.; Kravchuk, Volodymyr P.; Yershov, Kostiantyn V.
Physical Review B, Vol. 92, Issue 5
DOI: 10.1103/PhysRevB.92.054417

Curvature and torsion effects in spin-current driven domain wall motion
journal, March 2016

Yershov, Kostiantyn V.; Kravchuk, Volodymyr P.; Sheka, Denis D.
Physical Review B, Vol. 93, Issue 9
DOI: 10.1103/PhysRevB.93.094418

Rashba Torque Driven Domain Wall Motion in Magnetic Helices
journal, March 2016

Pylypovskyi, Oleksandr V.; Sheka, Denis D.; Kravchuk, Volodymyr P.
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep23316

Mesoscale Dzyaloshinskii-Moriya interaction: geometrical tailoring of the magnetochirality
journal, January 2018

Volkov, Oleksii M.; Sheka, Denis D.; Gaididei, Yuri
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-017-18835-4

Topologically stable magnetization states on a spherical shell: Curvature-stabilized skyrmions
journal, October 2016

Kravchuk, Volodymyr P.; Rößler, Ulrich K.; Volkov, Oleksii M.
Physical Review B, Vol. 94, Issue 14
DOI: 10.1103/PhysRevB.94.144402

Multiplet of Skyrmion States on a Curvilinear Defect: Reconfigurable Skyrmion Lattices
journal, February 2018

Kravchuk, Volodymyr P.; Sheka, Denis D.; Kákay, Attila
Physical Review Letters, Vol. 120, Issue 6
DOI: 10.1103/PhysRevLett.120.067201

Reduced models for ferromagnetic nanowires
journal, April 2011

Slastikov, V. V.; Sonnenberg, C.
IMA Journal of Applied Mathematics, Vol. 77, Issue 2
DOI: 10.1093/imamat/hxr019

Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets
journal, February 2004

Sheka, Denis D.; Yastremsky, Ivan A.; Ivanov, Boris A.
Physical Review B, Vol. 69, Issue 5
DOI: 10.1103/PhysRevB.69.054429

Local magnon modes and the dynamics of a small-radius two-dimensional magnetic soliton in an easy-axis ferromagnet
journal, October 2005

Ivanov, B. A.; Sheka, D. D.
Journal of Experimental and Theoretical Physics Letters, Vol. 82, Issue 7
DOI: 10.1134/1.2142872

Spin eigenmodes of magnetic skyrmions and the problem of the effective skyrmion mass
journal, February 2018

Kravchuk, Volodymyr P.; Sheka, Denis D.; Rößler, Ulrich K.
Physical Review B, Vol. 97, Issue 6
DOI: 10.1103/PhysRevB.97.064403

The bound state of weakly coupled Schrödinger operators in one and two dimensions
journal, April 1976

Simon, Barry
Annals of Physics, Vol. 97, Issue 2
DOI: 10.1016/0003-4916(76)90038-5

Asymptotic phase-shifts and bound states for two-body central interactions
journal, July 1963

Swan, P.
Nuclear Physics, Vol. 46
DOI: 10.1016/0029-5582(63)90637-0

The Levinson theorem
journal, November 2006

Ma, Zhong-Qi
Journal of Physics A: Mathematical and General, Vol. 39, Issue 48
DOI: 10.1088/0305-4470/39/48/R01

Effects of surface anisotropy on magnetic vortex core
journal, June 2014

Pylypovskyi, Oleksandr V.; Sheka, Denis D.; Kravchuk, Volodymyr P.
Journal of Magnetism and Magnetic Materials, Vol. 361
DOI: 10.1016/j.jmmm.2014.02.094

Boundary conditions at the derivative of a delta function
journal, May 1993

Griffiths, D. J.
Journal of Physics A: Mathematical and General, Vol. 26, Issue 9
DOI: 10.1088/0305-4470/26/9/021

Similar Records in DOE PAGES and OSTI.GOV collections:

Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport

Journal Article Lin, Shi-Zeng ; Zhu, Jian-Xin ; Saxena, Avadh - Physical Review B

Magnetic skyrmions in bulk crystals are linelike topologically protected spin textures. They allow for the propagation of magnons along the skyrmion line but are localized inside the skyrmion line. Analogous to the vortex line, these propagating modes are the Kelvin modes of a skyrmion line. In crystals without an inversion center, it is known that the magnon dispersion in the ferromagnetic state is asymmetric in the wave vector. It is natural to expect that the dispersion of the Kelvin modes is also asymmetric with respect to the wave vector. We study the Kelvin modes of a skyrmion line in themore »« less
Cited by 3
DOI: https://doi.org/10.1103/PhysRevB.99.140408

Full Text Available
Selective Excitation of Localized Spin-Wave Modes by Optically Pumped Surface Acoustic Waves

Journal Article Chang, Chia Lin ; Tamming, Ronnie R. ; Broomhall, Thomas J. ; ... - Physical Review Applied

We explore the feasibility of exciting localized spin-wave modes in ferromagnetic nanostructures using surface acoustic waves. The time-resolved Faraday effect is used to probe the magnetization dynamics of an array of nickel nanowires. The optical-pump pulse excites both spin-wave modes of the nanowires and acoustic modes of the substrate and we observe that, when the frequencies of these modes coincide, the amplitude of magnetization dynamics is substantially enhanced due to magnetoelastic coupling between the two. Notably, by tuning the magnitude of an externally applied magnetic field, optically excited surface acoustic waves can selectively excite either the upper or lower branchesmore »« less
Cited by 2
DOI: https://doi.org/10.1103/PhysRevApplied.10.034068

Full Text Available
Unusual magnetic excitations in the weakly ordered spin- $\frac{1}{2}$ chain antiferromagnet ${Sr}_{2} {CuO}_{3}$ : Possible evidence for Goldstone magnon coupled with the amplitude mode

Journal Article Sergeicheva, E. G. ; Sosin, S. S. ; Prozorova, L. A. ; ... - Physical Review B

We report on an electron spin resonance (ESR) study of a nearly one-dimensional (1D) spin-1/2 chain antiferromagnet, Sr₂CuO₃, with extremely weak magnetic ordering. The ESR spectra at T > T_N, in the disordered Luttinger-spin-liquid phase, reveal nearly ideal Heisenberg-chain behavior with only a very small, field-independent linewidth, ~1/T. In the ordered state, below T_N, we identify field-dependent antiferromagnetic resonance modes, which are well described by pseudo-Goldstone magnons in the model of a collinear biaxial antiferromagnet. Additionally, we observe a major resonant mode with unusual and strongly anisotropic properties, which is not anticipated by the conventional theory of Goldstone spin waves.more »« less
Cited by 3
DOI: https://doi.org/10.1103/PhysRevB.95.020411

Full Text Available
Controlled interconversion of quantized spin wave modes via local magnetic fields

Journal Article Zhang, Zhizhi ; Vogel, Michael ; Holanda, Jose ; ... - Physical Review, B: Condensed Matter

In the emerging field of magnonics, spin waves are considered for information processing and transmission at high frequencies. Moreover, the manipulation of propagating spin waves in nanostructured waveguides for novel functionality has attracted increased attention. Excitations with uniform magnetic fields in such waveguides favor symmetric spin-wave modes with odd quantization numbers. Interference between multiple odd spin-wave modes leads to a periodic self-focusing effect of the propagating spin waves. Here we demonstrate how antisymmetric spin-wave modes with even quantization numbers can be induced by local magnetic fields in a well-controlled fashion. The concluding interference patterns are discussed within an analytical modelmore »« less
Cited by 3
DOI: https://doi.org/10.1103/PhysRevB.100.014429

Full Text Available
Magnetism in curved geometries

Journal Article Streubel, Robert ; Fischer, Peter ; Kronast, Florian ; ... - Journal of Physics. D, Applied Physics

Extending planar two-dimensional structures into the three-dimensional space has become a general trend in multiple disciplines, including electronics, photonics, plasmonics and magnetics. This approach provides means to modify conventional or to launch novel functionalities by tailoring the geometry of an object, e.g. its local curvature. In a generic electronic system, curvature results in the appearance of scalar and vector geometric potentials inducing anisotropic and chiral effects. In the specific case of magnetism, even in the simplest case of a curved anisotropic Heisenberg magnet, the curvilinear geometry manifests two exchange-driven interactions, namely effective anisotropy and antisymmetric exchange, i.e. Dzyaloshinskii-Moriya-like interaction. Asmore »« less
Cited by 29
DOI: https://doi.org/10.1088/0022-3727/49/36/363001

Full Text Available

Similar Records

Title: Localization of magnon modes in a curved magnetic nanowire

Abstract

Citation Formats

Zur Theorie des Ferromagnetismus journal, March 1930

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet journal, December 1940

General Theory of Spin-Wave Interactions journal, June 1956

Magnonics journal, June 2010

The building blocks of magnonics journal, October 2011

Magnon transistor for all-magnon data processing journal, August 2014

Magnon spintronics journal, June 2015

Spin waves turning a corner journal, July 2012

How do spin waves pass through a bend? journal, October 2013

A reconfigurable waveguide for energy-efficient transmission and local manipulation of information in a nanomagnetic device journal, February 2016

High-performance giant magnetoresistive sensorics on flexible Si membranes journal, April 2015

Stretchable Magnetoelectronics journal, June 2011

Printable Magnetoelectronics journal, April 2013

Magnetism in curved geometries journal, August 2016

Curvature Effects in Thin Magnetic Shells journal, June 2014

Curvature effects in statics and dynamics of low dimensional magnets journal, March 2015

Magnetization in narrow ribbons: curvature effects journal, September 2017

Curvature-Induced Magnetochirality journal, September 2013

Curvature-induced domain wall pinning journal, September 2015

Coupling of Chiralities in Spin and Physical Spaces: The Möbius Ring as a Case Study journal, May 2015

Torsion-induced effects in magnetic nanowires journal, August 2015

Curvature and torsion effects in spin-current driven domain wall motion journal, March 2016

Rashba Torque Driven Domain Wall Motion in Magnetic Helices journal, March 2016

Mesoscale Dzyaloshinskii-Moriya interaction: geometrical tailoring of the magnetochirality journal, January 2018

Topologically stable magnetization states on a spherical shell: Curvature-stabilized skyrmions journal, October 2016

Multiplet of Skyrmion States on a Curvilinear Defect: Reconfigurable Skyrmion Lattices journal, February 2018

Reduced models for ferromagnetic nanowires journal, April 2011

Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets journal, February 2004

Local magnon modes and the dynamics of a small-radius two-dimensional magnetic soliton in an easy-axis ferromagnet journal, October 2005

Spin eigenmodes of magnetic skyrmions and the problem of the effective skyrmion mass journal, February 2018

The bound state of weakly coupled Schrödinger operators in one and two dimensions journal, April 1976

Asymptotic phase-shifts and bound states for two-body central interactions journal, July 1963

The Levinson theorem journal, November 2006

Effects of surface anisotropy on magnetic vortex core journal, June 2014

Boundary conditions at the derivative of a delta function journal, May 1993

Zur Theorie des Ferromagnetismus
journal, March 1930

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940

General Theory of Spin-Wave Interactions
journal, June 1956

Magnonics
journal, June 2010

The building blocks of magnonics
journal, October 2011

Magnon transistor for all-magnon data processing
journal, August 2014

Magnon spintronics
journal, June 2015

Spin waves turning a corner
journal, July 2012

How do spin waves pass through a bend?
journal, October 2013

A reconfigurable waveguide for energy-efficient transmission and local manipulation of information in a nanomagnetic device
journal, February 2016

High-performance giant magnetoresistive sensorics on flexible Si membranes
journal, April 2015

Stretchable Magnetoelectronics
journal, June 2011

Printable Magnetoelectronics
journal, April 2013

Magnetism in curved geometries
journal, August 2016

Curvature Effects in Thin Magnetic Shells
journal, June 2014

Curvature effects in statics and dynamics of low dimensional magnets
journal, March 2015

Magnetization in narrow ribbons: curvature effects
journal, September 2017

Curvature-Induced Magnetochirality
journal, September 2013

Curvature-induced domain wall pinning
journal, September 2015

Coupling of Chiralities in Spin and Physical Spaces: The Möbius Ring as a Case Study
journal, May 2015

Torsion-induced effects in magnetic nanowires
journal, August 2015

Curvature and torsion effects in spin-current driven domain wall motion
journal, March 2016

Rashba Torque Driven Domain Wall Motion in Magnetic Helices
journal, March 2016

Mesoscale Dzyaloshinskii-Moriya interaction: geometrical tailoring of the magnetochirality
journal, January 2018

Topologically stable magnetization states on a spherical shell: Curvature-stabilized skyrmions
journal, October 2016

Multiplet of Skyrmion States on a Curvilinear Defect: Reconfigurable Skyrmion Lattices
journal, February 2018

Reduced models for ferromagnetic nanowires
journal, April 2011

Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets
journal, February 2004

Local magnon modes and the dynamics of a small-radius two-dimensional magnetic soliton in an easy-axis ferromagnet
journal, October 2005

Spin eigenmodes of magnetic skyrmions and the problem of the effective skyrmion mass
journal, February 2018

The bound state of weakly coupled Schrödinger operators in one and two dimensions
journal, April 1976

Asymptotic phase-shifts and bound states for two-body central interactions
journal, July 1963

The Levinson theorem
journal, November 2006

Effects of surface anisotropy on magnetic vortex core
journal, June 2014

Boundary conditions at the derivative of a delta function
journal, May 1993