Skip to main content

Spin Glasses: Experimental Signatures and Salient Outcomes

  • Chapter
  • First Online:
Frustrated Materials and Ferroic Glasses

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 275))

Abstract

Within the wide class of disordered materials, spin glasses occupy a special place because of their conceptually simple definition of randomly interacting spins. Their modelling has triggered spectacular developments of out-of-equilibrium statistical physics, as well analytically as numerically, opening the way to a new vision of glasses in general. “Real” spin glasses are disordered magnetic materials which can be very diverse from the chemist’s point of view, but all share a number of common properties, laying down the definition of generic spin glass behavior. This paper aims at giving to nonspecialist readers an idea of what spin glasses are from an experimentalist’s point of view, describing as simply as possible their main features as they can be observed in the laboratory, referring to numerous detailed publications for more substantial discussions and for all theoretical developments, which are hardly sketched here. We strived to provide the readers who are interested in other glassy materials with some clues about the potential of spin glasses for improving their understanding of disordered matter. At least, arousing their curiosity for this fascinating subject will be considered a success.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    See numerous references in “Spin glasses and random fields”, A.P. Young Editor, Series on Directions in Condensed Matter Physics Vol. 12, World Scientific (1998).

  2. 2.

    In structural glasses, it has been found that T 0 from the Vogel-Fulcher law is close to the Kauzman temperature T K, at which the measured configurational entropy extrapolates to zero. And, in the “Random First Order Transition” scenario, T K is the critical point at which the size of the glassy ordered domains diverges [18].

References

  1. M. Mezard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987)

    MATH  Google Scholar 

  2. M. Baity-Jesi, E. Calore, A. Cruz, L.A. Fernandez, J.M. Gil-Narvion, A. Gordillo-Guerrero, D. Iñiguez, A. Maiorano, E. Marinari, V. Martin-Mayor, J. Monforte-Garcia, A. Muñoz-Sudupe, D. Navarro, G. Parisi, S. Perez-Gaviro, F. Ricci-Tersenghi, J.J. Ruiz-Lorenzo, S.F. Schifano, B. Seoane, A. Tarancon, R. Tripiccione, D. Yllanes, Phys. Rev. Lett. 118, 157202 (2017)

    Article  ADS  Google Scholar 

  3. X. Ren, in Disorder and Strain-Induced Complexity in Functional Materials, Springer Series in Materials Science, ed. by T. Kakeshita et al.. Strain glass and strain glass transition, vol 148 (Springer, New York, 2012)

    Chapter  Google Scholar 

  4. D. Wang, Y. Wang, Z. Zhang, X. Ren, Phys. Rev. Lett. 105, 205702 (2010)

    Article  ADS  Google Scholar 

  5. Y. Zhou, D. Xue, T. Ya, X. Ding, S. Guo, K. Otsuka, J. Sun, X. Ren, Phys. Rev. Lett. 112, 025701 (2014)

    Article  ADS  Google Scholar 

  6. D. Sherrington, in Disorder and Strain-Induced Complexity in Functional Materials, Springer Series in Materials Science, ed. by T. Kakeshita et al.. Understanding glassy phenomena in materials, vol 148 (Springer, New York, 2012)

    Chapter  Google Scholar 

  7. D. Sherrington, Phys. Rev. Lett. 111, 227601 (2013)

    Article  ADS  Google Scholar 

  8. D. Sherrington, Phys. Status Solidi B 1, 1–15 (2014)

    Google Scholar 

  9. V. Cannella, J.A. Mydosh, Phys. Rev. B 6, 4220 (1972)

    Article  ADS  Google Scholar 

  10. J.A. Mydosh, Spin Glasses, an Experimental Introduction (Taylor & Francis, London, 1993)

    Google Scholar 

  11. J.A. Mydosh, Rep. Prog. Phys. 78, 052501 (2015)

    Article  ADS  Google Scholar 

  12. H. Maletta, W. Felsch, Phys. Rev. B 20, 1245 (1979)

    Article  ADS  Google Scholar 

  13. H. Kawamura, T. Taniguchi, in Handb. Magn. Mater, ed. by K. H. J. Bischow. Spin glasses, vol 24 (Elsevier, Amsterdam, 2015)

    Google Scholar 

  14. M. Alba, J. Hammann, M. Noguès, J. Phys. C 15, 5441 (1982)

    Article  ADS  Google Scholar 

  15. V. Dupuis, E. Vincent, M. Alba, J. Hammann, Eur. Phys. J. B. 29, 19 (2002)

    Article  ADS  Google Scholar 

  16. J.L. Dormann, A. Saifi, V. Cagan, M. Noguès, Phys. Status Solidi (b) 131, 573 (1985)

    Article  ADS  Google Scholar 

  17. M.D. Ediger, P. Harrowell, J. Chem. Phys. 137, 080901 (2012)

    Article  ADS  Google Scholar 

  18. A. Cavagna, Phys. Rep. 476, 51 (2009)

    Article  ADS  Google Scholar 

  19. L. Berthier, G. Biroli, Rev. Mod. Phys. 83, 587 (2011)

    Article  ADS  Google Scholar 

  20. J. Souletie, D. Bertrand, J. Phys. I (France) 1, 1627 (1991)

    Article  Google Scholar 

  21. C. Crauste-Thibierge, C. Brun, F. Ladieu, D. L’Hôte, G. Biroli, J.-P. Bouchaud, Phys. Rev. Lett. 165703, 104 (2010)

    Google Scholar 

  22. C. Brun, F. Ladieu, D. L'Hôte, G. Biroli, J.-P. Bouchaud, Phys. Rev. Lett. 109, 175702 (2012)

    Article  ADS  Google Scholar 

  23. S. Albert, T. Bauer, M. Michl, G. Biroli, J.-P. Bouchaud, A. Loidl, P. Lunkenheimer, R. Tourbot, C. Wiertel-Gasquet, F. Ladieu, Science 352, 1308 (2016)

    Article  ADS  Google Scholar 

  24. P. Svedlindh, P. Granberg, P. Nordblad, L. Lundgren, H.S. Chen, Phys. Rev. B 35, 268 (1987)

    Article  ADS  Google Scholar 

  25. J.L. Tholence, Physica 108B, 1287 (1981)

    Google Scholar 

  26. J. Souletie, J.L. Tholence, Phys. Rev. B 32, 516 (1985)

    Article  ADS  Google Scholar 

  27. J.-P. Bouchaud, G. Biroli, Phys. Rev. B 72, 064204 (2005)

    Article  ADS  Google Scholar 

  28. K. Binder, A.P. Young, Phys. Rev. B 29, 2864 (1984)

    Article  ADS  Google Scholar 

  29. N. Bontemps, J. Rajchenbach, R.V. Chamberlin, R. Orbach, Phys. Rev. B 30, 6514 (1984)

    Article  ADS  Google Scholar 

  30. E. Vincent, J. Hammann, Solid State Comm. 58, 57–62 (1986)

    Article  ADS  Google Scholar 

  31. S.F. Edwards, P.W. Anderson, J. Phys. F 5, 965 (1975)

    Article  ADS  Google Scholar 

  32. M. Suzuki, Prog. Theor. Phys. 58, 1151 (1977)

    Article  ADS  Google Scholar 

  33. J. Chalupa, Solid State Comm. 22, 315 (1977)

    Article  ADS  Google Scholar 

  34. M. Suzuki, S. Miyashita, Physica 106A, 344 (1981)

    Article  ADS  Google Scholar 

  35. H. Bouchiat, J. Phys. (France) 47, 71 (1986)

    Article  Google Scholar 

  36. E. Vincent, J. Hammann, J. Phys. C 20, 2759 (1987)

    Article  Google Scholar 

  37. L.P. Lévy, Phys. Rev. B 38, 4963 (1988)

    Article  ADS  Google Scholar 

  38. D. Petit, L. Fruchter, I.A. Campbell, Phys. Rev. Lett. 88, 207206 (2002)

    Article  ADS  Google Scholar 

  39. D. Sherrington And S. Kirkpatrick, Phys. Rev. Lett. 35, 1972 (1975)

    Article  Google Scholar 

  40. J.R.L. de Almeida, J.R.L and D.J. Thouless. J. Phys. A 11, 983 (1978)

    Article  ADS  Google Scholar 

  41. M. Gabay, G. Toulouse, Phys. Rev. Lett. 47, 201 (1981)

    Article  ADS  Google Scholar 

  42. H. Kawamura, Phys. Rev. Lett. 68, 3785 (1992)

    Article  ADS  Google Scholar 

  43. D.X. Viet, H. Kawamura, Phys. Rev. Lett. 102, 027202 (2009)

    Article  ADS  Google Scholar 

  44. H. Kawamura, J. Phys. Soc. Jpn. 79, 011007 (2010)

    Article  ADS  Google Scholar 

  45. T. Taniguchi, K. Yamanaka, H. Sumioka, T. Yamazaki, Y. Tabata, S. Kawarazaki, Phys. Rev. Lett. 93, 246605 (2004)

    Article  ADS  Google Scholar 

  46. P. Pureur, F. Wolff Fabris, J. Schaf, I.A. Campbell, Europhys. Lett. 67, 123 (2004)

    Article  ADS  Google Scholar 

  47. T. Taniguchi, J. Phys. Condens. Matter 19, 145213 (2007)

    Article  ADS  Google Scholar 

  48. S. Guchhait, R.L. Orbach, Phys. Rev. B 92, 214418 (2015)

    Article  ADS  Google Scholar 

  49. Q. Zhai, D.C. Harrison, D. Tennant, E. Dan Dalhberg, G.G. Kenning, R.L. Orbach, Phys. Rev. B 95, 054304 (2017)

    Article  ADS  Google Scholar 

  50. D.S. Fisher, D.A. Huse, Phys. Rev. B 38, 373 (1988)

    Article  ADS  Google Scholar 

  51. G.J.M. Koper, H.J. Hilhorst, J. Phys. (Paris) 49, 429 (1988)

    Article  Google Scholar 

  52. D.S. Fisher, D.A. Huse, Phys. Rev. B 38, 386 (1988)

    Article  ADS  Google Scholar 

  53. D. Carpentier, E. Orignac, Phys. Rev. Lett. 100, 057207 (2008)

    Article  ADS  Google Scholar 

  54. T. Capron, G. Forestier, A. Perrat-Mabilon, C. Peaucelle, T. Meunier, C. Baüerle, L.P. Lévy, D. Carpentier, L. Saminadayar, Phys. Rev. Lett. 111, 187203 (2013)

    Article  ADS  Google Scholar 

  55. J. Mattsson, T. Jonsson, P. Nordblad, H. Aruga Katori, A. Ito, Phys. Rev. Lett. 74, 4305 (1995)

    Article  ADS  Google Scholar 

  56. H. Aruga Katori, A. Ito, J. Phys. Soc. Jpn. 63, 3122 (1994)

    Article  ADS  Google Scholar 

  57. Y. Tabata, T. Waki, H. Nakamura. Phys. Rev. B 96, 184406 (2017)

    Google Scholar 

  58. E. Vincent, Lect. Notes Phys. 716, 7 (2007)

    Article  ADS  Google Scholar 

  59. V. Dupuis, PhD Thesis, Orsay University (France) (2002), https://tel.archives-ouvertes.fr/tel-00002623/document

  60. J.L. Dormann, D. Fiorani, E. Tronc, in Adv. Chem. Phys., ed. by I. Prigogine, A. Rice, vol XCVIII (J. Wiley & Sons, Inc, Hoboken, 1997)

    Google Scholar 

  61. G. Parisi, PNAS 103, 7948 (2006)

    Article  ADS  Google Scholar 

  62. P. Refregier, M. Ocio, J. Hammann, E. Vincent, J. Appl. Phys. 63, 4343 (1988)

    Article  ADS  Google Scholar 

  63. L. Lundgren, P. Svedlindh, O. Beckman, Phys. Rev. B 26, 3990 (1982)

    Article  ADS  Google Scholar 

  64. M. Alba, J. Hammann, M. Ocio, P. Refregier, H. Bouchiat, J. Appl. Phys. 61, 3683 (1987)

    Article  ADS  Google Scholar 

  65. P. Nordblad, L. Lundgren, L. Sandlund, J. Magn. Magn. Mater. 92, 228 (1990)

    Article  ADS  Google Scholar 

  66. E. Vincent, J. Hammann, M. Ocio, J.-P. Bouchaud, L.F. Cugliandolo, in Complex Behavior of Glassy Systems, Lecture Notes in Physics, ed. by M. Rubi, vol 492 (Springer, Berlin, 1997), p. 184 (preprint available as arXiv:cond-mat/9607224)

    Chapter  Google Scholar 

  67. D. Parker, F. Ladieu, J. Hammann, E. Vincent, Phys. Rev. B 74, 184432 (2006)

    Article  ADS  Google Scholar 

  68. L.C.E. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Houston, 1978)

    Google Scholar 

  69. W.K. Waldron Jr., G.B. McKenna, M.M. Santore, J. Rheol. 39, 471 (1995)

    Article  ADS  Google Scholar 

  70. J. Hammann, E. Vincent, V. Dupuis, M. Alba, M. Ocio, J.-P. Bouchaud, J. Phys. Soc. Jpn. 69(Suppl.A), 206 (2000)

    Google Scholar 

  71. M. Cloitre, R. Borrega, L. Leibler, Phys. Rev. Lett. 85, 4819 (2000)

    Article  ADS  Google Scholar 

  72. H. Tanaka, S. Jabbari-Farouji, J. Meunier, D. Bonn, Phys. Rev. E 71, 021402 (2005)

    Article  ADS  Google Scholar 

  73. Y. Jin, H. Yoshino, Nat. Commun. 8, 14935 (2016)

    Article  ADS  Google Scholar 

  74. R.L. Leheny, S.R. Nagel, Phys. Rev. B 57, 5154 (1998)

    Article  ADS  Google Scholar 

  75. D. Hérisson, M. Ocio, Phys. Rev. Lett. 88, 257202 (2002)

    Article  ADS  Google Scholar 

  76. D. Hérisson, M. Ocio, Eur. Phys. J. B. 40, 283 (2004)

    Article  ADS  Google Scholar 

  77. L.F. Cugliandolo, J. Kurchan, J. Physics A 27, 5749 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  78. L.F. Cugliandolo, J. Kurchan, L. Peliti, Phys. Rev. E 55, 3898 (1997)

    Article  ADS  Google Scholar 

  79. S.L. Simon, G.B. McKenna, J. Chem. Phys. 107, 8678 (1997)

    Article  ADS  Google Scholar 

  80. P. Refregier, E. Vincent, J. Hammann, M. Ocio, J. Phys. (France) 48, 1533 (1987)

    Article  Google Scholar 

  81. F. Lefloch, J. Hammann, M. Ocio, E. Vincent, Europhys. Lett. 18, 647 (1992)

    Article  ADS  Google Scholar 

  82. M. Sasaki, V. Dupuis, J.-P. Bouchaud, E. Vincent, Eur. Phys. J. B. 29, 469 (2002)

    Article  ADS  Google Scholar 

  83. M. Sasaki, K. Nemoto, J. Phys. Soc. Jpn. 70, 1099 (2001)

    Article  ADS  Google Scholar 

  84. P.E. Jönsson, H. Yoshino, P. Nordblad, Phys. Rev. Lett. 89, 097201 (2002)

    Article  ADS  Google Scholar 

  85. K. Jonason, E. Vincent, J.P. Bouchaud, P. Nordblad, Phys. Rev. Lett. 81, 3243 (1998)

    Article  ADS  Google Scholar 

  86. K. Jonason, P. Nordblad, E. Vincent, J. Hammann, J.-P. Bouchaud, Eur. Phys. J. B. 13, 99 (2000)

    Article  ADS  Google Scholar 

  87. J.-P. Bouchaud, V. Dupuis, J. Hammann, E. Vincent, Phys. Rev. B 65, 024439 (2001)

    Article  ADS  Google Scholar 

  88. S. Miyashita, E. Vincent, Eur. Phys. J. B. 22, 203 (2001)

    Article  ADS  Google Scholar 

  89. A.J. Bray, M.A. Moore, Phys. Rev. Lett. 58, 57 (1987)

    Article  ADS  Google Scholar 

  90. H. Yoshino, A. Lemaître, J.-P. Bouchaud, Eur. Phys. J. B. 20, 367–395 (2001)

    Article  ADS  Google Scholar 

  91. P.E. Jönsson, R. Mathieu, P. Nordblad, H. Yoshino, H. Aruga Katori, A. Ito, Phys. Rev. B 70, 174402 (2004)

    Article  ADS  Google Scholar 

  92. R. Mathieu, P. Jönsson, D.N.H. Nam, P. Nordblad, Phys. Rev. B 63, 092401 (2001)

    Article  ADS  Google Scholar 

  93. L. Bellon, S. Ciliberto, C. Laroche, Europhys. Lett. 51, 551 (2000)

    Article  ADS  Google Scholar 

  94. K. Fukao, A. Sakamoto, Phys. Rev. E 71, 041803 (2005)

    Article  ADS  Google Scholar 

  95. L. Bellon, S. Ciliberto, C. Laroche, Eur. Phys. J. B 25, 223 (2002)

    Article  ADS  Google Scholar 

  96. A. Parker, V. Normand, Soft Matter 6, 4916 (2010)

    Article  ADS  Google Scholar 

  97. O. Ronsin, C. Caroli, T. Baumberger, Phys. Rev. Lett. 103, 138302 (2009)

    Article  ADS  Google Scholar 

  98. P. Jop, J. Ruben Gomez-Solano, A. Petrosyan, S. Ciliberto, J. Stat. Mech., 2009, P04012 (2009)

    Article  Google Scholar 

  99. S. Jabbari-Farouji, D. Mizuno, M. Atakhorrami, F.C. MacKintosh, C.F. Schmidt, E. Eiser, G.H. Wegdam, D. Bonn, Phys. Rev. Lett. 98, 108302 (2007)

    Article  ADS  Google Scholar 

  100. J. Palacci, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Phys. Rev. Lett. 105, 088304 (2010)

    Article  ADS  Google Scholar 

  101. Y. Sumino, K.H. Nagai, Y. Shitaka, D. Tanaka, K. Yoshikawa, H. Chaté, K. Oiwa, Nature 483, 448 (2012)

    Article  ADS  Google Scholar 

  102. T. Mano, J.-B. Delfau, J. Iwasawa, M. Sano, PNAS 114, E2580 (2017)

    Article  Google Scholar 

  103. V.S. Dotsenko, M.V. Feigel’man, L.B. Ioffe, Sov. Sci. Rev. A. Phys. 15, 1–250 (1990)

    Google Scholar 

  104. J.P. Bouchaud, J. Phys. I (France) 2, 1705 (1992)

    Article  Google Scholar 

  105. J.P. Bouchaud, D.S. Dean, J. Phys. I (France) 5, 265 (1995)

    Article  Google Scholar 

  106. B. Derrida, Phys. Rev. B 24, 2613 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  107. B. Derrida, E. Gardner, J. Phys. C 19, 2253 (1986)

    Article  ADS  Google Scholar 

  108. L.F. Cugliandolo, J. Kurchan, Phys. Rev. B 60, 922 (1999)

    Article  ADS  Google Scholar 

  109. J. Hammann, M. Lederman, M. Ocio, R. Orbach, E. Vincent, Physica A 185, 278 (1992)

    Article  ADS  Google Scholar 

  110. S. Miyashita, Progr. Theor. Phys. 69, 714 (1983)

    Article  ADS  Google Scholar 

  111. S. Tanaka, S. Miyashita, Progr. Theor. Phys. Suppl. 157, 34 (2005)

    Article  ADS  Google Scholar 

  112. Y.G. Joh, R. Orbach, J.J. Wood, J. Hammann, E. Vincent, Phys. Rev. Lett. 82, 438 (1999)

    Article  ADS  Google Scholar 

  113. F. Bert, V. Dupuis, E. Vincent, J. Hammann, J.-P. Bouchaud, Phys. Rev. Lett. 92, 167203 (2004)

    Article  ADS  Google Scholar 

  114. Y.G. Joh, R. Orbach, G.G. Wood, J. Hammann, E. Vincent, J. Phys. Soc. Jpn. 69(Suppl.A), 215 (2000)

    Google Scholar 

  115. L. Berthier, A.P. Young, Phys. Rev. B 71, 314429 (2005)

    Article  Google Scholar 

  116. S. Nakamae, C. Crauste-Thibierge, D. L’Hôte, E. Vincent, E. Dubois, V. Dupuis, R. Perzynski, Appl. Phys. Lett. 101, 242409 (2012)

    Article  ADS  Google Scholar 

  117. J.-P. Bouchaud, L. Cugliandolo, J. Kurchan, M. Mezard, Physica A 226, 243 (1996)

    Article  ADS  Google Scholar 

  118. T. Castellani, A. Cavagna, J. Stat. Mech., 2005, P05012 (2005)

    Article  MathSciNet  Google Scholar 

  119. W. Gotze, L. Sjogren, Rep. Prog. Phys. 55, 241 (1992)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The authors are grateful to J.-P. Bouchaud, H. Bouchiat, H. Kawamura, F. Ladieu, S. Miyashita, S. Nakamae, P. Nordblad, Y. Tabata, T. Taniguchi, and H. Yoshino for recent discussions and helpful suggestions concerning this manuscript. EV is thankful to the University of Tokyo for kind hospitality during the most part of the writing.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Eric Vincent .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Vincent, E., Dupuis, V. (2018). Spin Glasses: Experimental Signatures and Salient Outcomes. In: Lookman, T., Ren, X. (eds) Frustrated Materials and Ferroic Glasses. Springer Series in Materials Science, vol 275. Springer, Cham. https://doi.org/10.1007/978-3-319-96914-5_2

Download citation

Publish with us

Policies and ethics