Theory for the temperature induced reorientation of the magnetization in thin films

Solid State Communications

Volumn 100, Issue 8, 1996, Pages 585-589

  Jensen, P J ^a,b   Bennemann, K H ^b  

^a HAHN MEITNER INSTITUT   (Germany)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

A. magnetic films and multilayers; D. thermodynamic properties

Indexed keywords

CALCULATIONS; CRYSTAL ORIENTATION; FERROMAGNETIC MATERIALS; MAGNETIC ANISOTROPY; MAGNETIZATION; THERMAL EFFECTS; THERMODYNAMIC PROPERTIES;

INVERSE REORIENTATION TRANSITION; MEAN FIELD THEORY; TEMPERATURE INDUCED REORIENTATION; THIN FERROMAGNETIC FILMS;

MAGNETIC THIN FILMS;

EID: 0030284847     PISSN: 00381098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0038-1098(96)00459-0     Document Type: Article

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42. As is well known, an isotropic 2D Heisenberg magnet exhibits no long range order at finite temperatures (Mermin, N.M. and Wagner, H., Phys. Rev. Lett., 17, 1966, 1133). However, an ordered state is induced by anisotropic interactions, with an ordering temperature of the order of the exchange coupling, which has been shown by a spin wave approximation (Herring, C. and Kittel, C., Phys. Rev., 81, 1951, 869; Döring, W., Z. Naturforsch A, 16, 1961, 1008), or by a renormalization approach (Maleev, S.V., Sov. Phys. JETP, 43, 1976, 1240; Pokrovsky, V.L. and Feigel'man, M.V., Sov. Phys. JETP, 45, 1977, 291; Bander, M. and Mills, D.L., Phys. Rev. B, 38, 1988, 12 015).
43. As is well known, an isotropic 2D Heisenberg magnet exhibits no long range order at finite temperatures (Mermin, N.M. and Wagner, H., Phys. Rev. Lett., 17, 1966, 1133). However, an ordered state is induced by anisotropic interactions, with an ordering temperature of the order of the exchange coupling, which has been shown by a spin wave approximation (Herring, C. and Kittel, C., Phys. Rev., 81, 1951, 869; Döring, W., Z. Naturforsch A, 16, 1961, 1008), or by a renormalization approach (Maleev, S.V., Sov. Phys. JETP, 43, 1976, 1240; Pokrovsky, V.L. and Feigel'man, M.V., Sov. Phys. JETP, 45, 1977, 291; Bander, M. and Mills, D.L., Phys. Rev. B, 38, 1988, 12 015).
44. As is well known, an isotropic 2D Heisenberg magnet exhibits no long range order at finite temperatures (Mermin, N.M. and Wagner, H., Phys. Rev. Lett., 17, 1966, 1133). However, an ordered state is induced by anisotropic interactions, with an ordering temperature of the order of the exchange coupling, which has been shown by a spin wave approximation (Herring, C. and Kittel, C., Phys. Rev., 81, 1951, 869; Döring, W., Z. Naturforsch A, 16, 1961, 1008), or by a renormalization approach (Maleev, S.V., Sov. Phys. JETP, 43, 1976, 1240; Pokrovsky, V.L. and Feigel'man, M.V., Sov. Phys. JETP, 45, 1977, 291; Bander, M. and Mills, D.L., Phys. Rev. B, 38, 1988, 12 015).
45. As is well known, an isotropic 2D Heisenberg magnet exhibits no long range order at finite temperatures (Mermin, N.M. and Wagner, H., Phys. Rev. Lett., 17, 1966, 1133). However, an ordered state is induced by anisotropic interactions, with an ordering temperature of the order of the exchange coupling, which has been shown by a spin wave approximation (Herring, C. and Kittel, C., Phys. Rev., 81, 1951, 869; Döring, W., Z. Naturforsch A, 16, 1961, 1008), or by a renormalization approach (Maleev, S.V., Sov. Phys. JETP, 43, 1976, 1240; Pokrovsky, V.L. and Feigel'man, M.V., Sov. Phys. JETP, 45, 1977, 291; Bander, M. and Mills, D.L., Phys. Rev. B, 38, 1988, 12 015).
46. As is well known, an isotropic 2D Heisenberg magnet exhibits no long range order at finite temperatures (Mermin, N.M. and Wagner, H., Phys. Rev. Lett., 17, 1966, 1133). However, an ordered state is induced by anisotropic interactions, with an ordering temperature of the order of the exchange coupling, which has been shown by a spin wave approximation (Herring, C. and Kittel, C., Phys. Rev., 81, 1951, 869; Döring, W., Z. Naturforsch A, 16, 1961, 1008), or by a renormalization approach (Maleev, S.V., Sov. Phys. JETP, 43, 1976, 1240; Pokrovsky, V.L. and Feigel'man, M.V., Sov. Phys. JETP, 45, 1977, 291; Bander, M. and Mills, D.L., Phys. Rev. B, 38, 1988, 12 015).
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