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Critical dynamics of magnets

By Erwin Frey and F. Schwabl


We review our current understanding of the critical dynamics of magnets above and below the transition temperature with focus on the effects due to the dipole-dipole interaction present in all real magnets. Significant progress in our understanding of real ferromagnets in the vicinity of the critical point has been made in the last decade through improved experimental techniques and theoretical advances in taking into account realistic spin-spin interactions. We start our review with a discussion of the theoretical results for the critical dynamics based on recent renormalization group, mode coupling and spin-wave theories. A detailed comparison is made ot~ the theory with experimental results obtained by different measuring techniques, such as neutron scattering, hyperfine interaction, muon spin resonance, electron spin resonance, and magnetic relaxation, in various materials. Furthermore we discuss the effects of dipolar interaction on the critical dynamics of three-dimensional isotropic antiferromagnets and uniaxial ferromagnets. Special attention is also paid to a discussion of the consequences of dipolar anisotropies on the existence of magnetic order and the spin-wave spectrum in two-dimensional ferromagnets and antiferromagnets. We close our review with a formulation of critical dynamics in terms of nonlinear Langevin equations.

Topics: Physik, ddc:530
Year: 1994
DOI identifier: 10.1080/00018739400101535
OAI identifier:
Provided by: Open Access LMU

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  7. (1986). Diploma Thesis, Technische Universit~it Mtinchen; FREY, E,
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  10. (1976). Dynamic Critical Phenomena and Related Topics,
  11. (1966). edited by S. Fliigge
  12. (1984). Field Theory, the Renormalization Group, and Critical Phenomena (Singapore: World Scientific).
  13. (1971). Introduction to Solid State Physics, fourth edition
  14. (1989). Magnetic Critical Scattering
  15. (1985). Muon Spin Rotation Spectroscopy,
  16. (1972). Neutron Spin Echo,
  17. (1976). Phase Transitions and Critical Phenomena, Vol. 5a, edited by C. Domb
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  19. (1988). Polarized Neutrons (Oxford:
  20. (1971). Quantum Mechanics
  21. (1957). Quantum Mechanics of One- and Two-Electron Atoms
  22. (1988). Spin Waves and Excitations II, edited by
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