Skip to main content

Finite-Temperature Simulations for Magnetic Nanostructures

  • Chapter
  • 1083 Accesses

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 94))

Summary

We examine different models and methods for studying finite-temperature magnetic hysteresis in nanoparticles and ultra-thin films. This includes micromagnetic results for the hysteresis of a single magnetic nanoparticle which is misaligned with respect to the magnetic field. We present results from both a representation of the particle as a one-dimensional array of magnetic rotors, and from full micromagnetic simulations. The results are compared with the Stoner-Wohlfarth model. Results of kinetic Monte Carlo simulations of ultra-thin films are also presented. In addition, we discuss other topics of current interest in the modeling of magnetic hysteresis in nanostructures, including kinetic Monte Carlo simulations of dynamic phase transitions and First-Order Reversal Curves.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. http://en.wikipedia.org/wiki/Serial_ATA

    Google Scholar 

  2. eWeek, Jan. 17, 2006 (formerly PC Week magazine, now online only at http://www.eweek.com)

    Google Scholar 

  3. M. Plumer, J. van Ek: Micromagnetic System Modeling for Perpendicular Recording, presented at the Micromagnetics and Magnetic Recording Workshop held at the Center for Materials for Information Technology, the University of Alabama (November 6, 2003) (unpublished)

    Google Scholar 

  4. K.Z. Gao, H.N. Bertram: IEEE Trans. Magn. 39, 704 (2003)

    Article  Google Scholar 

  5. K.Z. Gao, J. Fernandez-de-Castro, H.N. Bertram: IEEE Trans. Magn. 41, 4236 (2005)

    Article  Google Scholar 

  6. O. Perković, K. Dahmen, J.P. Sethna: Phys. Rev. Lett. 75, 4528 (1995)

    Article  Google Scholar 

  7. K. Dahmen, J.P. Sethna: Phys. Rev. B 53, 14872 (1996)

    Article  CAS  Google Scholar 

  8. J.H. Carpenter, K. Dahmen, J.P. Sethna, G. Friedman, S. Loverde, A. Vanderveld: J. Appl. Phys. 89, 6799 (2001)

    Article  CAS  Google Scholar 

  9. E.C. Stoner, E.P. Wohlfarth: Phil. Trans. Roy. Soc. A240, 599 (1948)

    CAS  Google Scholar 

  10. D.A. Garanin: Phys. Rev. B 55, 3050 (1997)

    Article  CAS  Google Scholar 

  11. W. Brown: Micromagnetics (Wiley, 1963)

    Google Scholar 

  12. U. Nowak: Thermally Activated Reversal in Magnetic Nanostructures. In: Annual Reviews of Computational Physics IX, ed. by D. Stauffer (World Scientific, Singapore 2001) pp. 105–152

    Google Scholar 

  13. G. Brown, M.A. Novotny, and P.A. Rikvold: Phys. Rev. B 64, 134432 (2001)

    Google Scholar 

  14. A. Aharoni: Introduction to the Theory of Ferromagnetism (Clarendon, Oxford 1996)

    Google Scholar 

  15. A.S. Arrot, B. Heinrich, D.S. Bloomberg: IEEE Trans. Magn. MAG-10, 950 (1974)

    Article  Google Scholar 

  16. O. Chubykalo, R. Smirnov-Rueda, J.M. Gonzalez, M.A. Wongsam, R.W. Chantrell, U. Nowak: J. Magn. Magn. Mater. 266, 28 (2003)

    Article  CAS  Google Scholar 

  17. E. Boerner, H.N. Bertram: IEEE Trans. Magn. 33, 3052 (1997)

    Article  Google Scholar 

  18. S. Wirth, M. Field, D.D. Awschalom, S. von Molnár: Phys. Rev. B 57, R14028 (1998)

    Article  CAS  Google Scholar 

  19. L.F. Greengard: The Rapid Evaluation of Potential Fields in Particle Systems (MIT Press, Cambridge 1988)

    Google Scholar 

  20. G. Brown, T.C. Schulthess, D.M. Apalkov, P.B. Visscher: IEEE Trans. Magn. 40, 2146 (2004)

    Article  Google Scholar 

  21. W.D. Doyle, S. Stinnett, C. Dawson, L. He: J. Magn. Soc. Jpn. 22, 91 (1998)

    CAS  Google Scholar 

  22. J. Fidler, T. Schrefl, W. Scholz, D. Suess, V.D. Tsiantos, R. Dittrich, M. Kirschner: Physica B 343, 200 (2004)

    Article  CAS  Google Scholar 

  23. R. Hertel, J. Kirschner: J. Magn. Magn. Mater. 270, 364 (2004)

    Article  CAS  Google Scholar 

  24. E.D. Boerner, K.Z. Gao, R.W. Chantrell: IEEE Trans. Magn. 40, 2371 (2004)

    Article  Google Scholar 

  25. L. He, W.D. Doyle, H. Fujiwara: IEEE Trans. Magn. 30, 4086 (1994)

    Article  Google Scholar 

  26. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, E. Teller: J. Chem. Phys. 21, 1087 (1953)

    Article  CAS  Google Scholar 

  27. D. Landau and K. Binder: A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge 2000)

    Google Scholar 

  28. R.J. Glauber: J. Math. Phys. 4, 294 (1963)

    Article  Google Scholar 

  29. U. Nowak, R.W. Chantrell, E.C. Kennedy: Phys. Rev. Lett. 84, 163 (2000)

    Article  CAS  Google Scholar 

  30. O. Chubykalo, U. Nowak, R. Smirnov-Rueda, M.A. Wongsam: Phys. Rev. B 67, 064422 (2003)

    Article  Google Scholar 

  31. X.Z. Cheng, M.B.A. Jalil, H.K. Lee, Y. Okabe: Phys. Rev. B 72, 094420 (2005)

    Article  Google Scholar 

  32. X.Z. Cheng, M.B.A. Jalil, H.K. Lee, Y. Okabe: http://www.arxiv.org/condmat/0602011 (2006) (to appear in Phys. Rev. Lett.)

    Google Scholar 

  33. P. A. Martin: J. Stat. Phys. 16, 149 (1977)

    Article  Google Scholar 

  34. K. Park, M.A. Novotny, P.A. Rikvold: Phys. Rev. E 66, 056101 (2002)

    Article  Google Scholar 

  35. M.A. Novotny: A Tutorial on Advanced Dynamic Monte Carlo Methods for systems with Discrete State Spaces. In: Annual Reviews of Computational Physics IX, ed. by D. Stauffer (World Scientific, Singapore 2001) pp. 153–210 (also available at http://www.arxiv.org/cond-mat/0109182)

    Google Scholar 

  36. K. Park, P.A. Rikvold, G.M. Buendía, M.A. Novotny: Phys. Rev. Lett., 92 015701 (2004); G.M. Buendía, P.A. Rikvold, K. Park, M.A. Novotny: J. Chem. Phys. 121, 4193 (2004); G.M. Buendía, P.A. Rikvold, M. Kolesik: Phys. Rev. B 73, in press (2006)

    Article  Google Scholar 

  37. A.B. Bortz, M.H. Kalos, and J.L. Lebowitz: J. Comput. Phys. 17, 10 (1975)

    Article  Google Scholar 

  38. J.D. Muñoz, M.A. Novotny, S.J. Mitchell: Phys. Rev. E 67, 026101 (2003)

    Article  Google Scholar 

  39. H. Watanabe, S. Yukawa, M.A. Novotny, N. Ito: http://www.arxiv.org/condmat/0508652 (2005) (submitted to Phys. Rev. Lett.)

    Google Scholar 

  40. G. Brown, S.M. Stinnett, M.A. Novotny, P.A. Rikvold: J. Appl. Phys. 95, 6666 (2004)

    Article  CAS  Google Scholar 

  41. S. Wirth, S. von Molnár: J. Appl. Phys. 85, 5249 (1999)

    Article  CAS  Google Scholar 

  42. Y. Li, P. Xiong, S. von Molnár, S. Wirth, Y. Ohno, H. Ohno: Appl. Phys. Lett. 80, 4644 (2002)

    Article  CAS  Google Scholar 

  43. Y. Li, P. Xiong, S. von Molnár, Y. Ohno, H. Ohno: J. Appl. Phys. 93, 7912 (2003)

    Article  CAS  Google Scholar 

  44. Y. Li, P. Xiong, S. von Molnár, Y. Ohno, H. Ohno: Phys. Rev. B 71, 214425 (2005)

    Article  Google Scholar 

  45. T. Tomé, M.J. de Oliveira: Phys. Rev. A 41, 4251 (1990)

    Article  Google Scholar 

  46. J.F.F. Mendes, J.S. Lage: J. Stat. Phys. 64, 653 (1991)

    Article  Google Scholar 

  47. P. Jung, G. Gray, R. Ray, P. Mandel: Phys. Rev. Lett. 65, 1873 (1991)

    Article  Google Scholar 

  48. M.F. Zimmer: Phys. Rev. E 47, 3950 (1993)

    Article  Google Scholar 

  49. E.Z. Meilikhov: JETP Letters 79, 620 (2004)

    Article  CAS  Google Scholar 

  50. W.S. Lo, R.A. Pelcovits: Phys. Rev. A 42, 7471 (1990)

    Article  Google Scholar 

  51. M. Acharyya, B. Chakrabarti: Phys. Rev. B 52, 6550 (1995)

    Article  CAS  Google Scholar 

  52. M. Acharyya: Phys. Rev. E 56, 2407 (1997)

    Article  CAS  Google Scholar 

  53. S.W. Sides, P.A. Rikvold, M.A. Novotny: Phys. Rev. Lett. 81, 834 (1998); Phys. Rev. E 59, 2710 (1999)

    Article  CAS  Google Scholar 

  54. G. Korniss, C.J. White, P.A. Rikvold, M.A. Novotny: Phys. Rev. E 63, 016120 (2000)

    Article  Google Scholar 

  55. G. Korniss, P.A. Rikvold, M.A. Novotny: Phys. Rev. E 66, 056127 (2002)

    Article  CAS  Google Scholar 

  56. M. Paessens, M. Henkel: J. Phys. A 36, 8983 (2003)

    Article  Google Scholar 

  57. T. Yasui, H. Tutu, M. Yamamoto, H. Fujisaka: Phys. Rev. E 66, 036123 (2002); erratum: ibid. 67, 019901(E) (2003)

    Article  Google Scholar 

  58. N. Fujiwara, H. Tutu, H. Fujisaka: Phys. Rev. E 70, 066132 (2004)

    Article  Google Scholar 

  59. H. Jang, M.J. Grimson, C.K. Hall: Phys. Rev. B 67, 094411 (2003)

    Article  Google Scholar 

  60. Z.G. Huang, F.M. Zhang, Z.G. Chen, Y.W. Du: Eur. Phys. J. B 44, 423 (2005)

    Article  CAS  Google Scholar 

  61. Q. Jiang, H.-N. Yang, G.C. Wang: Phys. Rev. B 52, 14911 (1995)

    Article  CAS  Google Scholar 

  62. Q. Jiang, H.-N. Yang, G.C. Wang: J. Appl. Phys. 79, 5122 (1996)

    Article  CAS  Google Scholar 

  63. H. Fujisaka, H. Tutu, P.A. Rikvold: Phys. Rev. E 63, 016109 (2001); erratum: ibid. 63, 059903(E) (2001)

    Google Scholar 

  64. G. Brown, M.A. Novotny, P.A. Rikvold: Physica B 306, 117 (2001)

    Article  CAS  Google Scholar 

  65. S.W. Sides, P.A. Rikvold, M.A. Novotny: Phys. Rev. E 57, 6512 (1998)

    Article  CAS  Google Scholar 

  66. M. Acharyya: Phys. Rev. E 59, 218 (1999)

    Article  CAS  Google Scholar 

  67. B.J. Kim, P. Minnhagen, H.J. Kim, M.Y. Choi, G.S. Jeon: Europhys. Lett. 56, 333 (2001)

    Article  CAS  Google Scholar 

  68. Y.L. Raikher, V.I. Stepanov, R. Perzynski: Physica B 343, 262 (2004)

    Article  CAS  Google Scholar 

  69. R.N. Mantegna, B. Spagnolo, L. Testa, M. Trapanese: J. Appl. Phys. 97, 10E519 (2005)

    Article  Google Scholar 

  70. C.R. Pike, A. Roberts, K. Verosub: J. Appl. Phys. 85, 6660 (1999)

    Article  CAS  Google Scholar 

  71. C.R. Pike, A.P. Roberts, M.J. Dekkers, K. Verosub: Phys. Earth Planet. Inter. 126, 11 (2001)

    Article  CAS  Google Scholar 

  72. A. Roberts, C.R. Pike, K. Verosub: J. Geophys. Res. 105, 28461 (2001)

    Article  Google Scholar 

  73. C.R. Pike, A. Fernandez: J. Appl. Phys. 85, 6668 (1999)

    Article  CAS  Google Scholar 

  74. C. Carvallo, A.R. Muxworthy, D.J. Dunlop, W. Williams: Earth Planet. Sci. Lett. 213, 375 (2003)

    Article  CAS  Google Scholar 

  75. P.G. Bercoff, M.I. Oliva, E. Borclone, H.R. Bertorello: Physica B 320, 291 (2002)

    Article  CAS  Google Scholar 

  76. M.I. Oliva, H.R. Bertorello, P.G. Bercoff: J. Alloys Compd. 354, 203 (2004)

    CAS  Google Scholar 

  77. L. Spinu, A. Stancu, C. Radu, F. Li, J.B. Wiley: IEEE Trans. Magn. 40, 2116 (2004)

    Article  CAS  Google Scholar 

  78. J.E. Davies, O. Hellwig, E.E. Fullerton, G. Denbeaux, J.B. Kortright, K. Liu: Phys. Rev. B 70, 224434 (2004)

    Article  Google Scholar 

  79. C.R. Pike, C.A. Ross, R.T. Scalettar, G.T. Zimanyi: Phys. Rev. B 71, 133407 (2005)

    Article  Google Scholar 

  80. J.E. Davies, O. Hellwig, E.E. Fullerton, J.S. Jiang, S.D. Bader, G.T. Zimanyi, K. Liu: Appl. Phys. Lett. 86, 262503 (2005)

    Article  Google Scholar 

  81. C.R. Pike: Phys. Rev. B 68, 104424 (2003)

    Article  Google Scholar 

  82. D. Heslop, A.R. Muxworthy: J. Magn. Magn. Mater. 288, 155 (2005)

    Article  CAS  Google Scholar 

  83. P.A. Rikvold, H. Tomita, S. Miyashita, S.W. Sides: Phys. Rev. E 49, 5080 (1994)

    Article  CAS  Google Scholar 

  84. The SPRNG random number generator is maintained at Florida State University and may be downloaded from http://sprng.cs.fsu.edu/

    Google Scholar 

  85. D.T. Robb, M.A. Novotny, P.A. Rikvold: J. Appl. Phys. 97, 10E510 (2005)

    Article  Google Scholar 

  86. A.N. Kolmogorov: Bull. Acad. Sci. USSR, Phys. Ser. 1, 355 (1937).

    Google Scholar 

  87. W.A. Johnson, R.F. Mehl: Trans. Am. Inst. Mining and Metallurgical Engineers 135, 416 (1939)

    Google Scholar 

  88. M. Avrami: J. Chem. Phys. 7, 1103 (1939); 8, 212 (1940); 9, 177 (1941)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Novotny, M.A., Robb, D.T., Stinnett, S.M., Brown, G., Rikvold, P.A. (2007). Finite-Temperature Simulations for Magnetic Nanostructures. In: Aktaş, B., Mikailov, F., Tagirov, L. (eds) Magnetic Nanostructures. Springer Series in Materials Science, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49336-5_7

Download citation

Publish with us

Policies and ethics