Startseite Thermal critical phenomena and crossover between critical regimes in ferromagnets with long-range interactions
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Thermal critical phenomena and crossover between critical regimes in ferromagnets with long-range interactions

  • S. N. Kaul EMAIL logo
Veröffentlicht/Copyright: 12. Februar 2022
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International Journal of Materials Research
Aus der Zeitschrift International Journal of Materials Research Band 93 Heft 10

Abstract

In this brief review, an attempt has been made to bring out clearly the role of long-range interactions (such as dipole – dipole interactions or isotropic exchange interactions decaying with interspin distance ‘r’ as J(r) ~ r–(d+σ) (0 < σ < 2), where ‘d’ is the space dimensionality) (i) in determining the thermodynamic properties of ferromagnets (in which the electrons responsible for magnetism are either localized or itinerant) in the asymptotic critical region, (ii) in causing a crossover from one critical regime to the other, and (iii) in stabilizing long-range magnetic order in site-diluted and/or bond-diluted ferromagnets with composition just above the percolation threshold. In the process, a number of long-standing/puzzling issues concerning the nature of magnetic order, static critical phenomena and crossover scenario in a wide variety of ferromagnetic systems have been resolved.

Keywords: Critical phenomena; Magnetic phase transitions; Crossover between critical regimes; Ferromagnets; Dipole – dipole interactions; Long-range interactions
Prof. S.N.Kaul School of Physics University of Hyderabad Hyderabad, AP 500 046, India Tel.: +91 40 301 2455 Fax: +91 40 301 0227

Dedicated to Professor Dr. Helmut Kronmüller on the occasion of his 70th birthday

References

1 Aharony, A.; Fisher, M.E.: Phys. Rev. B 8 (1973) 3323; Fisher, M.E.; Aharony, A.: Phys. Rev. Lett. 30 (1973) 559.10.1103/PhysRevB.8.3323Suche in Google Scholar

2 Wilson, K.G.: Phys. Rev. Lett. 28 (1972) 548.10.1103/PhysRevLett.28.548Suche in Google Scholar

3 Wilson, K.G.; Fisher, M.E.: Phys. Rev. Lett. 28 (1972) 240.10.1103/PhysRevLett.28.240Suche in Google Scholar

4 Fisher, M.E.; Pfeuty, P.: Phys. Rev. B 6 (1972) 1889.10.1103/PhysRevB.6.1889Suche in Google Scholar

5 Wilson, K.G.; Kogut, J.: Phys. Rep. 12 (1974) 75.10.1016/0370-1573(74)90023-4Suche in Google Scholar

6 Bruce, A.D.; Aharony, A: Phys. Rev. B 10 (1974) 2078.10.1103/PhysRevB.10.2078Suche in Google Scholar

7 Bruce, A.D.; Kosterlitz, J.M.; Nelson, D.R.: J. Phys. C 9 (1976) 825.10.1088/0022-3719/9/5/021Suche in Google Scholar

8 Nattermann, T.; Trimper, S.: J. Phys. C 9 (1976) 2589.10.1088/0022-3719/9/13/018Suche in Google Scholar

9 Bruce, A.D.: J. Phys. C 10 (1977) 419.10.1088/0022-3719/10/3/012Suche in Google Scholar

10 Frey, E.; Schwabl, F.: Phys. Rev. B 43 (1991) 833.10.1103/PhysRevB.43.833Suche in Google Scholar

11 Larkin, A.I..; Khmel’nitskii, D.E.: Sov. Phys. JETP 29 (1969) 1123; Wegner, F.J.; Riedel, E.K.: Phys. Rev. B 7 (1973) 248.10.1103/PhysRevB.7.248Suche in Google Scholar

12 Brézin, E.; Zinn-Justin, J.: Phys. Rev. B 13 (1976) 251.10.1103/PhysRevB.13.251Suche in Google Scholar

13 Frey, E.; Schwabl, F.: Phys. Rev. B 42 (1990) 8261.10.1103/PhysRevB.42.8261Suche in Google Scholar

14 Ried, K.; Millev, Y.; Fähnle, M.; Kronmüller, H.: Phys. Rev. B 51 (1995) 15229, and references cited therein.10.1103/PhysRevB.51.15229Suche in Google Scholar

15 Kötzler, J.; Scheithe, W.: Solid State Commun. 12 (1973) 643; Kötzler, J.; Eiselt, G.: Phys. Lett. 58 A (1976) 69.10.1016/0038-1098(73)90304-9Suche in Google Scholar

16 Ahlers, G.; Kornblit, A.; Guggenheim, H.J.: Phys. Rev. Lett. 34 (1975) 1227; Als-Nielsen, J.: Phys. Rev. Lett. 37 (1976) 1161; Griffin, J.A.; Litster, J.C.; Linz, A.: Phys. Rev. Lett. 38 (1977) 251; Beauvillain, P.; Chappert, C.; Laursen, L.: J. Phys. C 13 (1980) 1481.10.1103/PhysRevLett.34.1227Suche in Google Scholar

17 Frowein, R.; Kötzler, J.: Z. Phys. B 25 (1976) 279; Frowein, R.; Kötzler, J.; Assmus, W.: Phys. Rev. Lett. 42 (1979) 739; Frowein, R.; Kötzler, J; Schaub, B.; Schuster, H.G.: Phys. Rev. B 25 (1982) 4905.10.1007/BF01420891Suche in Google Scholar

18 Brinkmann, J.; Courths, R.; Guggenheim, H.J.: Phys. Rev. Lett. 40 (1978) 1286.10.1103/PhysRevLett.40.1286Suche in Google Scholar

19 Fisher, M.E.; Ma, S.-K.; Nickel. B.G.: Phys. Rev. Lett. 29 (1972) 917.10.1103/PhysRevLett.29.917Suche in Google Scholar

20 Harris, A.B.: J. Phys. C 7 (1974) 1671.10.1088/0022-3719/7/9/009Suche in Google Scholar

21 Lubensky, T.C.: Phys. Rev. B 11 (1975) 3573.10.1103/PhysRevB.11.3573Suche in Google Scholar

22 Khmel’nitzki, D.E.: Sov. Phys. JETP 41 (1976) 981.Suche in Google Scholar

23 Grinstein, G.; Luther, A: Phys. Rev. B 13 (1976) 1329.10.1103/PhysRevB.13.1329Suche in Google Scholar

24 Kaul, S.N.: J. Magn. Magn. Mater. 53 (1985) 5.10.1016/0304-8853(85)90128-3Suche in Google Scholar

25 Fähnle, M.; Kellner, W.U.; Kronmüller, H.: Phys. Rev. B 35 (1987) 3640; Kellner, W.U.; Fähnle, M.; Kronmüller, H; Kaul, S.N.: Phys. Status Solidi (b) 144 (1987) 397.10.1103/PhysRevB.35.3640Suche in Google Scholar

26 Kaul, S.N.: Phys. Rev. B 38 (1988) 9178.10.1103/PhysRevB.38.917Suche in Google Scholar

27 Hargraves, P.; Dunlap, R.A.; J. Phys. F 18 (1988) 533.Suche in Google Scholar

28 Kaul, S.N.; Sambasiva Rao, M.: Phys. Rev. B 43 (1991) 11240.10.1103/PhysRevB.43.11240Suche in Google Scholar

29 Kaul, S.N.; Mohan, Ch.V.: Phys. Rev. B 50 (1994) 6157.10.1103/PhysRevB.50.6157Suche in Google Scholar

30 Kaul, S.N.; Sambasiva Rao, M.: J. Phys.: Condens. Matter 6 (1994) 7403; Sambasiva Rao, M.; Kaul, S.N.: J. Magn. Magn. Mater. 147 (1995) 149.10.1088/0953-8984/6/36/022Suche in Google Scholar

31 Babu, P.D.; Kaul, S.N.: J. Phys.: Condens. Matter 9 (1997) 7189.10.1088/0953-8984/9/34/011Suche in Google Scholar

32 Pfeuty, P.; Jasnow, D.; Fisher, M.E.: Phys. Rev. B 10 (1974) 2088.10.1103/PhysRevB.10.2088Suche in Google Scholar

33 Reidel, E.K.; Wegner, F.J.: Phys. Rev. B 9 (1974) 294.10.1103/PhysRevB.9.294Suche in Google Scholar

34 Kogon, H.S.; Bruce, A.D.: J. Phys. C 15 (1982) 5729.10.1088/0022-3719/15/28/005Suche in Google Scholar

35 Als-Nielsen, J.; Dietrich, O.W.; Kunnmann, W.; Passell, L: Phys. Rev. Lett. 27 (1971) 741; Menyuk, N.; Dwight, K.; Reed, T.B.: Phys. Rev. B 3 (1971) 1689.10.1103/PhysRevLett.27.741Suche in Google Scholar

36 Høg, J.; Johansson, J.: Int. J. Magn. 4 (1973) 11; Huang, C.C.; Pindak, R.S.; Ho, J.T.: Solid State Commun. 14 (1974) 559; Berkner, D.D.: Phys. Lett. 54 A (1975) 396.Suche in Google Scholar

37 Srinath, S.; Kaul, S.N.; Sostarich, M.-K.: Phys. Rev. B 62 (2000) 11649.10.1103/PhysRevB.62.11649Suche in Google Scholar

38 Srinath, S.; Kaul, S.N.: Europhys. Lett. 51 (2000) 441.10.1209/epl/i2000-00502-1Suche in Google Scholar

39 Geldart, D.J.W.; De’Bell, K.; Cook, J.; Laubitz, M.J.; Phys. Rev. B 35 (1987) 8876.10.1103/PhysRevB.35.8876Suche in Google Scholar

40 Bednarz, G.; Geldart, D.J.W.; White, M.A.: Phys. Rev. B 47 (1993) 14247.10.1103/PhysRevB.47.14247Suche in Google Scholar

41 Srinath, S.; Kaul, S.N.; Kronmüller, H.: Phys. Rev. B 59 (1999) 1145.10.1103/PhysRevB.59.1145Suche in Google Scholar

42 Srinath, S.; Kaul, S.N.: Phys. Rev. B 60 (1999) 12166.10.1103/PhysRevB.60.12166Suche in Google Scholar

43 Arajs, A; Tehan, B.L.; Anderson, E.E .; Stelmach, A.A.: Int. J. Magn. 1 (1970) 41.10.1002/pssb.19700410219Suche in Google Scholar

44 Seeger, M.; Kaul, S.N.; Kronmüller, H.; Reisser, R.; Phys. Rev. B 51 (1995) 12585.10.1103/PhysRevB.51.12585Suche in Google Scholar

45 Fisher, S.F.; Kaul, S.N.; Kronmüller, H.: J. Magn. Magn. Mater. 226–230 (2001) 540.10.1016/S0304-8853(00)00767-8Suche in Google Scholar

46 Fisher, S.F.; Kaul, S.N.; Kronmüller, H.: Phys. Rev. B 65 (2002) 064443-1.10.1103/PhysRevB.65.064443Suche in Google Scholar

47 Semwal, A.; Kaul, S.N.: Phys. Rev. B 64 (2001) 014417–1.10.1103/PhysRevB.64.014417Suche in Google Scholar

48 Semwal, A.; Kaul, S.N.; J. Phys.: Condens. Matter 14 (2002) 5829.10.1088/0953-8984/14/23/313Suche in Google Scholar

49 Fujiki, N.M.; De’Bell, K.; Geldart, D. J.W.; Phys. Rev. B 36 (1987) 8512.10.1103/PhysRevB.36.8512Suche in Google Scholar

50 Kaul, S.N.; Srinath, S.: Phys. Rev. B 62 (2000) 1114.10.1103/PhysRevB.62.1114Suche in Google Scholar

51 Coey, J.M.D.; Skumryey, V.; Gallagher, K.: Nature 401 (1999) 35.10.1038/43363Suche in Google Scholar

52 Kaul, S.N.: Solid State Commun. 36 (1980) 279; Phys. Rev. B 22 (1980) 278.10.1016/0038-1098(80)90277-XSuche in Google Scholar

53 Kaul, S.N.: J. Phys.: Condens. Matter 3 (1991) 4027; Babu, P.D.; Kaul, S.N.: J. Phys.: Condens. Matter 9 (1997) 7189; Kaul, S.N.; Babu, P.D.: J. Phys.: Condens. Matter 10 (1998) 1563; Kaul, S.N.: Met. Mater. Processes 7 (1995) 29.10.1088/0953-8984/10/7/009Suche in Google Scholar

54 Mydosh, J.A.: Spin Glasses: An Experimental Introduction, Taylor and Francis, London (1993).Suche in Google Scholar
Received: 2002-04-02
Published Online: 2022-02-12

© 2002 Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. Editorial
  4. Articles/Aufsätze
  5. Interplay between chemical and magnetic roughness of Pt in a Pt/Co bilayer investigated with X-ray resonant magnetic reflectometry
  6. Thermal stability and magnetic anisotropy dispersion in high-density hard-disk media
  7. Thickness dependence of magnetization structures in thin Permalloy rectangles
  8. Solving the selectivity problem in magnetic random access memories using configurations that form C-states
  9. Second-order magnetoelastic effects: From the Dirac equation to the magnetic properties of ultrathin epitaxial films for magnetic thin-film applications
  10. Magnetic relaxation in nanocrystalline systems: linking Monte Carlo steps with time
  11. Effect of domain size on the magneto-elastic damping in amorphous ferromagnetic metals
  12. The character and role of grain boundaries in NdFeB-type alloys and magnets
  13. Magnetic domain structure and spin reorientation process
  14. Magnetic properties of Tb(Fe, Mo)12 and Tb(Fe, Mo)12C compounds
  15. Microstructure, magnetic properties and magnetic hardening in 2 : 17 Sm–Co magnets
  16. Micromagnetism and microstructure – tailoring of high-performance permanent magnets
  17. Metastable alloys at moderate cooling rates
  18. Thermal critical phenomena and crossover between critical regimes in ferromagnets with long-range interactions
  19. Vacancies in thermal equilibrium and ferromagnetism near the Curie temperature
  20. The vortex lattice in superconductors
  21. Functional substrates – a novel approach to tailor transport properties and flux-line pinning in YBa2Cu3O7 – x thin films
  22. Superconducting permanent magnets and their application in magnetic levitation
  23. Magneto-optical studies of flux pinning in high-temperature superconductors
  24. Atomic transport in amorphous metals
  25. A novel technique for measuring diffusivities of short-lived radioisotopes in solids
  26. Hydrogen four-level tunnel systems in substitutional body-centred cubic alloys
  27. Magnetic relaxation phenomena in cobalt
  28. The Verwey transition in magnetite as studied by means of definite impurity doping
  29. Notifications/Mitteilungen
  30. Personal/Personelles
  31. Bücher/Books
  32. Conferences/Konferenzen
  33. DGM Training/DGM Fortbildung
https://doi.org/10.1515/ijmr-2002-0177
Schlagwörter für diesen Artikel
Critical phenomena; Magnetic phase transitions; Crossover between critical regimes; Ferromagnets; Dipole – dipole interactions; Long-range interactions

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. Editorial
  4. Articles/Aufsätze
  5. Interplay between chemical and magnetic roughness of Pt in a Pt/Co bilayer investigated with X-ray resonant magnetic reflectometry
  6. Thermal stability and magnetic anisotropy dispersion in high-density hard-disk media
  7. Thickness dependence of magnetization structures in thin Permalloy rectangles
  8. Solving the selectivity problem in magnetic random access memories using configurations that form C-states
  9. Second-order magnetoelastic effects: From the Dirac equation to the magnetic properties of ultrathin epitaxial films for magnetic thin-film applications
  10. Magnetic relaxation in nanocrystalline systems: linking Monte Carlo steps with time
  11. Effect of domain size on the magneto-elastic damping in amorphous ferromagnetic metals
  12. The character and role of grain boundaries in NdFeB-type alloys and magnets
  13. Magnetic domain structure and spin reorientation process
  14. Magnetic properties of Tb(Fe, Mo)12 and Tb(Fe, Mo)12C compounds
  15. Microstructure, magnetic properties and magnetic hardening in 2 : 17 Sm–Co magnets
  16. Micromagnetism and microstructure – tailoring of high-performance permanent magnets
  17. Metastable alloys at moderate cooling rates
  18. Thermal critical phenomena and crossover between critical regimes in ferromagnets with long-range interactions
  19. Vacancies in thermal equilibrium and ferromagnetism near the Curie temperature
  20. The vortex lattice in superconductors
  21. Functional substrates – a novel approach to tailor transport properties and flux-line pinning in YBa2Cu3O7 – x thin films
  22. Superconducting permanent magnets and their application in magnetic levitation
  23. Magneto-optical studies of flux pinning in high-temperature superconductors
  24. Atomic transport in amorphous metals
  25. A novel technique for measuring diffusivities of short-lived radioisotopes in solids
  26. Hydrogen four-level tunnel systems in substitutional body-centred cubic alloys
  27. Magnetic relaxation phenomena in cobalt
  28. The Verwey transition in magnetite as studied by means of definite impurity doping
  29. Notifications/Mitteilungen
  30. Personal/Personelles
  31. Bücher/Books
  32. Conferences/Konferenzen
  33. DGM Training/DGM Fortbildung
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