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

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Published/Copyright: February 12, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 93 Issue 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

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Received: 2002-04-02
Published Online: 2022-02-12

© 2002 Carl Hanser Verlag, München

Articles in the same Issue

  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
Keywords for this article
Critical phenomena; Magnetic phase transitions; Crossover between critical regimes; Ferromagnets; Dipole – dipole interactions; Long-range interactions

Articles in the same Issue

  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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