Universal magnetic domain wall dynamics in the presence of weak disorder

Jacques Ferré; Peter J. Metaxas; Alexandra Mougin; Jean-Pierre Jamet; Jon Gorchon; Vincent Jeudy

doi:10.1016/j.crhy.2013.08.001

Universal magnetic domain wall dynamics in the presence of weak disorder
[Universalité de la dynamique dʼune paroi de domaine magnétique en présence dʼun faible désordre]

Jacques Ferré ¹ ; Peter J. Metaxas ² ; Alexandra Mougin ¹ ; Jean-Pierre Jamet ¹ ; Jon Gorchon ¹ ; Vincent Jeudy ^1,³

¹ Laboratoire de physique des solides, UMR CNRS 8502, Université Paris-Sud, 91405 Orsay, France
² School of Physics, M013, University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
³ Université de Cergy-Pontoise, 95000 Cergy-Pontoise, France

Comptes Rendus. Physique, Volume 14 (2013) no. 8, pp. 651-666.

Résumé
Abstract

Le déplacement dʼinterfaces élastiques dans un milieu désordonné est un sujet qui sʼapplique à de nombreuses branches de la physique. Le mouvement dʼune paroi magnétique dans un film de Pt/Co/Pt ultra-mince a pu être interprété dans le cadre de théories sur la dynamique dʼune interface élastique se propageant dans un milieu faiblement désordonné. Les trois régimes dynamiques prévus théoriquement, cʼest-à-dire la reptation, le dépiégeage et le déplacement uniforme de la paroi, ont été directement mis en évidence dans ce système expérimental modèle. Nous discutons ici ces régimes et démontrons comment la reptation sous champ peut être contrôlée, non seulement par la température et le piégeage, mais aussi via une interaction avec des entités magnétiques situées à lʼintérieur ou à lʼextérieur de la couche magnétique. Les conséquences dʼeffets de confinement dans des dispositifs nanoscopiques sont brièvement discutées, comme certains résultats récents sur le mouvement de paroi provoqué par un courant ou assisté par un champ électrique. Finalement, de nouveaux développements théoriques et perspectives sont proposés.

The motion of elastic interfaces in disordered media is a broad topic relevant to many branches of physics. Field-driven magnetic domain wall motion in ultrathin ferromagnetic Pt/Co/Pt films can be well interpreted within the framework of theories developed to describe elastic interface dynamics in the presence of weak disorder. Indeed, the three theoretically predicted dynamic regimes of creep, depinning, and flow have all been directly evidenced in this model experimental system. We discuss these dynamic regimes and demonstrate how field-driven creep can be controlled not only by temperature and pinning, but also via interactions with magnetic entities located inside or outside the magnetic layer. Consequences of confinement effects in nano-devices are briefly reviewed, as some recent results on domain wall motion driven by an electric current or assisted by an electric field. Finally new theoretical developments and perspectives are discussed.

Publié le : 2013-08-27

DOI : 10.1016/j.crhy.2013.08.001

Keywords: Magnetic films, Wall dynamics, Creep, Depinning, Disorder
Mot clés : Films magnétiques, Dynamique de paroi, Reptation, Dépiégeage, Désordre

Affiliations des auteurs :

Jacques Ferré ¹ ; Peter J. Metaxas ² ; Alexandra Mougin ¹ ; Jean-Pierre Jamet ¹ ; Jon Gorchon ¹ ; Vincent Jeudy ^{1, 3}

¹ Laboratoire de physique des solides, UMR CNRS 8502, Université Paris-Sud, 91405 Orsay, France
² School of Physics, M013, University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
³ Université de Cergy-Pontoise, 95000 Cergy-Pontoise, France

@article{CRPHYS_2013__14_8_651_0,
     author = {Jacques Ferr\'e and Peter J. Metaxas and Alexandra Mougin and Jean-Pierre Jamet and Jon Gorchon and Vincent Jeudy},
     title = {Universal magnetic domain wall dynamics in the presence of weak disorder},
     journal = {Comptes Rendus. Physique},
     pages = {651--666},
     publisher = {Elsevier},
     volume = {14},
     number = {8},
     year = {2013},
     doi = {10.1016/j.crhy.2013.08.001},
     language = {en},
}

TY  - JOUR
AU  - Jacques Ferré
AU  - Peter J. Metaxas
AU  - Alexandra Mougin
AU  - Jean-Pierre Jamet
AU  - Jon Gorchon
AU  - Vincent Jeudy
TI  - Universal magnetic domain wall dynamics in the presence of weak disorder
JO  - Comptes Rendus. Physique
PY  - 2013
SP  - 651
EP  - 666
VL  - 14
IS  - 8
PB  - Elsevier
DO  - 10.1016/j.crhy.2013.08.001
LA  - en
ID  - CRPHYS_2013__14_8_651_0
ER  -

%0 Journal Article
%A Jacques Ferré
%A Peter J. Metaxas
%A Alexandra Mougin
%A Jean-Pierre Jamet
%A Jon Gorchon
%A Vincent Jeudy
%T Universal magnetic domain wall dynamics in the presence of weak disorder
%J Comptes Rendus. Physique
%D 2013
%P 651-666
%V 14
%N 8
%I Elsevier
%R 10.1016/j.crhy.2013.08.001
%G en
%F CRPHYS_2013__14_8_651_0

Jacques Ferré; Peter J. Metaxas; Alexandra Mougin; Jean-Pierre Jamet; Jon Gorchon; Vincent Jeudy. Universal magnetic domain wall dynamics in the presence of weak disorder. Comptes Rendus. Physique, Volume 14 (2013) no. 8, pp. 651-666. doi : 10.1016/j.crhy.2013.08.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.08.001/

Bibliographie
Cité par

[1] E. Agoritsas; V. Lecomte; T. Giamarchi Phys., B Condens. Matter, 407 (2012), p. 1725

[2] E.E. Ferrero; S. Bustingorry; A.B. Kolton; A. Rosso C. R. Physique (2013) (in this issue)

[3] S. Lemerle; J. Ferré; C. Chappert; V. Mathet; T. Giamarchi; P. Le Doussal Phys. Rev. Lett., 80 (1998), p. 849

[4] V. Repain; M. Bauer; J.-P. Jamet; J. Ferré; A. Mougin; C. Chappert; H. Bernas Europhys. Lett., 68 (2004), p. 460

[5] P.J. Metaxas; J.-P. Jamet; A. Mougin; M. Cormier; J. Ferré; V. Baltz; B. Rodmacq; B. Dieny; R.L. Stamps Phys. Rev. Lett., 99 (2007), p. 217208

[6] K.-J. Kim; J.-C. Lee; S.-M. Ahn; K.-S. Lee; C.-W. Lee; Y.-J. Cho; S. Seo; K.-H. Shin; S.-B. Choe; H.W. Lee Nature, 458 (2009), p. 740

[7] S. Zhang; Z. Li Phys. Rev. Lett., 93 (2004), p. 127204

[8] G. Tatara; H. Kohno Phys. Rev. Lett., 92 (2004), p. 086601

[9] A. Thiaville; Y. Nakatani; J. Miltat; Y. Suzuki Europhys. Lett., 69 (2005), p. 990

[10] E. Martinez Adv. Condens. Matter Phys., 2012 (2012), p. 954196

[11] G.S.D. Beach; M. Tsoi; J.L. Erskine J. Magn. Magn. Mater., 320 (2008), p. 1272

[12] M. Yamanouchi; J. Ieda; F. Matsukura; S.E. Barnes; S. Maekawa; H. Ohno Science, 317 (2007), p. 1726

[13] P.P.J. Haazen; E. Murè; J.H. Franken; R. Lavrijsen; H.J.M. Swagten; B. Koopmans Nat. Mater., 12 (2013), p. 299

[14] D. Chiba; M. Sawicki; Y. Nishitani; Y. Nakatani; F. Matsukura; H. Ohno Nature, 455 (2008), p. 515

[15] A.J. Schellekens; A. van den Brink; J.H. Franken; H.J.M. Swagten; B. Koopmans Nat. Comm., 3 (2012), p. 847

[16] U. Bauer; S. Emori; G.S.D. Beach Appl. Phys. Lett., 101 (2012), p. 172403

[17] P. Gaunt Philos. Mag. B, 48 (1983), p. 261

[18] P.W. Anderson; Y.B. Kim Rev. Mod. Phys., 36 (1964), p. 39

[19] T. Nattermann; Y. Shapir; I. Vilfan Phys. Rev. B, 42 (1990), p. 8577

[20] P. Chauve; T. Giamarchi; P. Le Doussal Phys. Rev. B, 62 (2000), p. 6341

[21] P. Paruch et al. C. R. Physique (2013) (in this issue)

[22] P. Cizeau; S. Zapperi; G. Durin; E. Stanley Phys. Rev. Lett., 79 (1997), p. 4669

[23] G. Durin; S. Zapperi Phys. Rev. Lett., 84 (2000), p. 4705

[24] D.-H. Kim; S.-B. Choe; S.-C. Shin Phys. Rev. Lett., 90 (2003), p. 087203

[25] E. Puppin Phys. Rev. Lett., 84 (2000), p. 5415

[26] J.S. Urbach; R.C. Madison; J.T. Markert Phys. Rev. Lett., 75 (1995), p. 276

[27] G. Bertotti Hysteresis in Magnetism, Academic Press, San Diego, CA, 1998

[28] G. Durin; S. Zapperi The Science of Hysteresis (G. Bertotti; I. Mayergoyz, eds.), Academic Press, Amsterdam, 2006, pp. 181-267

[29] S. Brazovskii; T. Nattermann Adv. Phys., 53 (2004), p. 177

[30] J.C. Slonczewski Int. J. Magn., 2 (1972), p. 85

[31] N.L. Schryer; L.R. Walker J. Appl. Phys., 45 (1974), p. 5406

[32] A.P. Malozemoff; J.C. Slonczewski Magnetic Domain Walls in Bubble Materials, Academic Press, New York, 1979

[33] G.S.D. Beach; C. Nistor; C. Knutson; M. Tsoi; J.L. Erskine Nat. Mater., 4 (2005), p. 741

[34] A. Dourlat; V. Jeudy; A. Lemaître; C. Gourdon Phys. Rev. B, 78 (2008), p. 161303

[35] A. Mougin; M. Cormier; J.-P. Adam; P.J. Metaxas; J. Ferré Europhys. Lett., 78 (2007), p. 57007

[36] D.G. Porter; M.J. Donahue J. Appl. Phys., 95 (2004), p. 6720

[37] P.J. Metaxas Solid State Phys., 62 (2011), p. 76

[38] L. Thevenard; C. Gourdon; S. Haghgoo; J.-P. Adam; H.J. von Bardeleben; A. Lemaire; W. Schoch; A. Thiaville Phys. Rev. B, 83 (2011), p. 245211

[39] K. Yamada; J.-P. Jamet; Y. Nakatani; A. Mougin; A. Thiaville; T. Ono; J. Ferré Appl. Phys. Express, 4 (2011), p. 113001

[40] B. Van de Viel; L. Laurson; G. Durin Phys. Rev. B, 86 (2012), p. 144415

[41] J. Ferré Spin Dynamics in Confined Magnetic Structures I (B. Hillebrands; K. Ounadjela, eds.), Topics in Applied Physics, vol. 83, Springer-Verlag, Berlin, Heidelberg, 2002, pp. 127-165

[42] A. Kirilyuk; J. Ferré; J. Pommier; D. Renard J. Magn. Magn. Mater., 121 (1993), p. 536

[43] A. Kirilyuk; J. Ferré; D. Renard IEEE Trans. Magn., 29 (1993), p. 2518

[44] M. Müller; D.A. Gorochov; G. Blatter Phys. Rev. B, 63 (2001), p. 184305

[45] T. Giamarchi; A.B. Kolton; A. Rosso Lect. Notes Phys., 688 (2006), p. 91

[46] S. Bustingorry; A.B. Kolton; T. Giamarchi Europhys. Lett., 81 (2008), p. 26005

[47] A.B. Kolton; A. Rosso; T. Giamarchi; W. Krauth Phys. Rev. B, 79 (2009), p. 184207

[48] J.-C. Lee; K.-J. Kim; J. Ryu; K.-W. Moon; S.-J. Yun; G.-H. Gim; K.-S. Lee; K.-H. Shin; H.-W. Lee; S.-B. Choe Phys. Rev. Lett., 107 (2011), p. 067201

[49] S. Bustingorry; A.B. Kolton; T. Giamarchi Phys. Rev. B, 85 (2012), p. 214416

[50] W. Kleemann; J. Rheusius; O. Petrovic; J. Ferré; J.-P. Jamet; H. Bernas Phys. Rev. Lett., 99 (2007), p. 097203

[51] J. Ferré Magnetic Storage Systems Beyond 2000 (G.C. Hadjipanayis, ed.), Kluwer Academic Publishers, Dordrecht, The Netherlands, 2001, p. 181

[52] J.P. Attané; M. Tissier; A. Marty; L. Vila Phys. Rev. B, 82 (2010), p. 024408

[53] T. Nattermann; V. Pokrovsky; V.M. Vinokur Phys. Rev. Lett., 87 (2001), p. 197005

[54] A.B. Kolton; A. Rosso; T. Giamarchi; W. Krauth Phys. Rev. Lett., 97 (2006), p. 057001

[55] J. Gorchon, S. Bustingorry, J. Ferré, V. Jeudy, A.B. Kolton, T. Giamarchi, submitted for publication.

[56] E. Agoritsas; V. Lecomte; T. Giamarchi Phys. Rev. B, 82 (2010), p. 184207

[57] S. Emori; G.S.D. Beach J. Phys. Condens. Matter, 24 (2012), p. 024214

[58] G. Rodriguez-Rodriguez; J.L. Menendez; A. Hierro-Rodriguez; A. Pérez-Junquera; N. Montenegro; D. Ravelosona; J.M. Alameda; M. Vélez J. Phys. D, Appl. Phys., 43 (2010), p. 305002

[59] A. Kirilyuk; J. Ferré; D. Renard Europhys. Lett., 24 (1993), p. 403

[60] J. Ferré; V. Repain; J.-P. Jamet; A. Mougin; V. Mathet; C. Chappert; H. Bernas Phys. Status Solidi A, 201 (2004), p. 1386

[61] J. Ferré; J.-P. Jamet Handbook of Magnetism and Advanced Magnetic Materials, vol. 3, Novel Techniques for Characterizing and Preparing Samples (H. Kronmüller; S. Parkin, eds.), John Wiley & Sons, 2007, p. 1710

[62] F. Cayssol; J.L. Menendez; D. Ravelosona; C. Chappert; J.-P. Jamet; J. Ferré; H. Bernas Appl. Phys. Lett., 86 (2005), p. 022503

[63] J.H. Franken; H.J.M. Swagten; B. Koopmans Nat. Nanotechnol., 7 (2012), p. 499

[64] L. Krusin-Elbaum; T. Shibauchi; B. Argyle; L. Gignac; D. Weller Nature, 410 (2001), p. 444

[65] M. Bauer; A. Mougin; J.-P. Jamet; V. Repain; J. Ferré; R.L. Stamps; H. Bernas; C. Chappert Phys. Rev. Lett., 94 (2005), p. 207211

[66] T. Shibauchi; L. Krusin-Elbaum; V.M. Vinokur; B. Argyle; D. Weller; B.D. Terris Phys. Rev. Lett., 87 (2001), p. 267201

[67] P.J. Metaxas; R.L. Stamps; J.-P. Jamet; J. Ferré; V. Baltz; B. Rodmacq J. Phys. Condens. Matter, 24 (2012), p. 024212

[68] J. Moritz; F. Garcia; J.C. Toussaint; B. Dieny; J.P. Nozières Europhys. Lett., 65 (2004), p. 123

[69] V. Grolier; D. Renard; B. Bartenlian; P. Beauvillain; C. Chappert; C. Dupas; J. Ferré; M. Galtier; E. Kolb; M. Mulloy; J.P. Renard; P. Veillet Phys. Rev. Lett., 71 (1993), p. 3023

[70] P.J. Metaxas; J.-P. Jamet; J. Ferré; B. Rodmacq; B. Dieny; R.L. Stamps J. Magn. Magn. Mater., 320 (2008), p. 2571

[71] P.J. Metaxas; R.L. Stamps; J.-P. Jamet; J. Ferré; V. Baltz; B. Rodmacq; P. Politi Phys. Rev. Lett., 104 (2010), p. 237206

[72] P. Politi; P.J. Metaxas; J.-P. Jamet; R.L. Stamps; J. Ferré Phys. Rev. B, 84 (2011), p. 054431

[73] S. Fukami; T. Suzuki; K. Nagahara; N. Ohshima; Y. Ozaki; S. Saito; R. Nebashi; N. Sakimura; H. Honjo; K. Mori; C. Igarashi; S. Miura; N. Ishiwata; T. Sugibayashi Low-current perpendicular domain wall motion cell for scalable high-speed MRAM, Symposium on VLSI Technology, 2009

[74] S.S.P. Parkin; M. Hayashi; L. Thomas Science, 320 (2008), p. 190

[75] F. Cayssol; D. Ravelosona; C. Chappert; J. Ferré; J.-P. Jamet Phys. Rev. Lett., 92 (2004), p. 107202

[76] B. Derrida J. Stat. Phys., 31 (1983), p. 433

[77] D.A. Allwood; G. Xiong; D. Cooke; C.C. Faulkner; D. Atkinson; N. Vernier; R.P. Cowburn Science, 296 (2002), p. 2003

[78] D.A. Allwood; G. Xiong; C.C. Faulkner; D. Atkinson; D. Petit; R.P. Cowburn Science, 309 (2005), p. 1688

[79] J. Grollier; A. Chathboula; R. Matsumoto; A. Anane; V. Cros; F. Nguyen van Dau; A. Fert C. R. Physique, 12 (2011), p. 309

[80] G. Malinovski; O. Boulle; M. Käui J. Phys. D, Appl. Phys., 44 (2011), p. 384005

[81] I.M. Miron; T. Moore; H. Szambolics; L.D. Buda-Prejbeanu; S. Auffret; B. Rodmacq; S. Pizzini; J. Vogel; M. Bonfim; A. Schuhl; G. Gaudin Nat. Mater., 10 (2011), p. 419

[82] G.S.D. Beach; C. Knutson; C. Nistor; M. Tsoi; J.L. Erskine Phys. Rev. Lett., 97 (2006), p. 057203

[83] S.-W. Jung; W. Kim; T.-D. Lee; K.-J. Lee; H.-W. Lee Appl. Phys. Lett., 92 (2008), p. 202508

[84] S. Fukami; T. Suzuki; N. Ohshima; K. Nagahara; N. Ishiwata J. Appl. Phys., 103 (2008), p. 07E718

[85] K.-J. Kim; J.-C. Lee; K.-H. Shin; H.-W. Lee; S.-B. Choe Curr. Appl. Phys., 13 (2013), p. 228

[86] Yamanouchi; D. Chiba; F. Matsukura; H. Ohno Nature, 428 (2004), p. 539

[87] J.P. Adam; N. Vernier; J. Ferré; A. Thiaville; V. Jeudy; A. Lemaitre; L. Thevenard; G. Faini Phys. Rev. B, 80 (2009), p. 193204

[88] J. Heinen; O. Boulle; K. Rousseau; G. Malinovski; M. Kläui; H.J.M. Swagten; B. Koopmans; C. Ulysse; G. Faini Appl. Phys. Lett., 96 (2010), p. 202510

[89] R. Lavrijsen; P.P.J. Haazen; E. Murè; J.H. Franken; J.T. Kohlhepp; H.J.M. Swagten; B. Koopmans Appl. Phys. Lett., 100 (2012), p. 262408

[90] M. Cormier; A. Mougin; J. Ferré; A. Thiaville; N. Charpentier; F. Piéchon; R. Weil; V. Baltz; B. Rodmacq Phys. Rev. B, 81 (2010), p. 024407

[91] D. Ravelosona; D. Lacour; J.A. Katine; B.D. Terris; C. Chappert Phys. Rev. Lett., 95 (2005), p. 117203

[92] D. Ravelosona; S. Mangin; J.A. Katine; E.E. Fullerton; B.D. Terris Appl. Phys. Lett., 90 (2007), p. 072508

[93] C. Burrowes; A.P. Mihai; D. Ravelosona; J.-V. Kim; C. Chappert; L. Vila; A. Marty; Y. Samson; F. Garcia-Sanchez; L.D. Buda-Prejbeanu; I. Tudosa; E.E. Fullerton; J.-P. Attané Nat. Phys., 6 (2010), p. 17

[94] L. Liu; O.J. Lee; T.J. Gudmundsen; D.C. Ralph; R.A. Buhrman Phys. Rev. Lett., 109 (2012), p. 096602

[95] A. Thiaville; S. Rohart; E. Jué; V. Cros; A. Fert Europhys. Lett., 100 (2012), p. 57002

[96] L. San Emeterio Alvarez; K.-Y. Wang; S. Lepadatu; S. Landi; S.J. Bending; C.H. Marrows Phys. Rev. Lett., 104 (2010), p. 137205

[97] M. Yamanouchi; D. Chiba; F. Matsukura; T. Dietl Phys. Rev. Lett., 96 (2006), p. 096601

[98] K.-W. Moon; D.-H. Kim; S.-C. Yoo; C. -Gu Cho; S. Hwang; B. Kahng; B.-C. Min; K.-H. Shin; S.-B. Choe Phys. Rev. Lett., 110 (2013), p. 107203

[99] J. Ryu; S.-B. Choe; H.-W. Lee Phys. Rev. B, 84 (2011), p. 075469

[100] V. Lecomte; S.E. Barnes; J.-P. Eckmann; T. Giamarchi Phys. Rev. B, 80 (2009), p. 054413

[101] P.J. Metaxas; P.-J. Zermatten; J.-P. Jamet; J. Ferré; G. Gaudin; B. Rodmacq; A. Schuhl; R.L. Stamps Appl. Phys. Lett., 94 (2009), p. 132504

[102] P.J. Metaxas; P.-J. Zermatten; R.L. Novak; S. Rohart; J.-P. Jamet; R. Weil; J. Ferré; A. Mougin; R.L. Stamps; G. Gaudin; V. Baltz; B. Rodmacq J. Appl. Phys., 113 (2013), p. 073906

[103] A. Pérez-Junquera; V.I. Marconi; A.B. Kolton; L.M. Alvarez-Prado; Y. Souche; A. Alija; M. Vélez; J.V. Anguita; J.M. Alameda; J.I. Martin; J.M.R. Parrondo Phys. Rev. Lett., 100 (2008), p. 037203

[104] E.B. Kolomeisky; T. Curcic; J.P. Stralev Phys. Rev. Lett., 75 (1995), p. 1775

[105] A.M. Ettouhami; L. Radzihovsky Phys. Rev. B, 67 (2003), p. 115412

[106] S. Bustingorry; A.B. Kolton; T. Giamarchi Phys. Rev. B, 82 (2010), p. 094202

Cité par Sources :

Commentaires - Politique