中国物理B ›› 1996, Vol. 5 ›› Issue (4): 264-280.doi: 10.1088/1004-423X/5/4/004

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ANALYTICAL AND ITERATIVE SEMICLASSICAL SOLUTIONS FOR THE GIANT MAGNETORE-SISTANCE IN MAGNETIC MULTILAYERS

李伯臧, 吴建华, 蒲富恪   

  1. Institute of Physics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1995-05-23 出版日期:1996-04-20 发布日期:1996-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

ANALYTICAL AND ITERATIVE SEMICLASSICAL SOLUTIONS FOR THE GIANT MAGNETORE-SISTANCE IN MAGNETIC MULTILAYERS

LI BO-ZANG (李伯臧), WU JIAN-HUA (吴建华), PU FU-CHO (蒲富恪)   

  1. Institute of Physics, Academia Sinica, Beijing 100080, China
  • Received:1995-05-23 Online:1996-04-20 Published:1996-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： Based on the semiclassical theory of Camley and Barnas(C-B), the problem of solving the giant magnetoresistance in magnetic multilayets (Fi/Ni)n/Fn+1 is comprehensively discussed with both the bulk and interface spin-dependent scatterings being involved. The solution of this problem is attributed to the solution of G-coefficients (G's). First, we point out that for large n the analytical solution in close form ia hard to obtain and a recent attempt made in the literature failed in general. Second, a new choice of local spin quantization-axes is adopted for reducing (in comparison with C-B) the number of G's and several exact infer-ences are drawn in order to further simplify the solution of G's. Finally, an iteration method for solving G's is developed, which, we believe, is the simplest one among the numerical methods in this area and leads naturally to the analytical solutions with close expression in the case of small n. Such solutions are given for symmetric sandwich as well as superlattice.

Abstract: Based on the semiclassical theory of Camley and Barnas(C-B), the problem of solving the giant magnetoresistance in magnetic multilayets (Fi/Ni)n/Fn+1 is comprehensively discussed with both the bulk and interface spin-dependent scatterings being involved. The solution of this problem is attributed to the solution of G-coefficients (G's). First, we point out that for large n the analytical solution in close form ia hard to obtain and a recent attempt made in the literature failed in general. Second, a new choice of local spin quantization-axes is adopted for reducing (in comparison with C-B) the number of G's and several exact infer-ences are drawn in order to further simplify the solution of G's. Finally, an iteration method for solving G's is developed, which, we believe, is the simplest one among the numerical methods in this area and leads naturally to the analytical solutions with close expression in the case of small n. Such solutions are given for symmetric sandwich as well as superlattice.

中图分类号:  (Giant magnetoresistance)

  • 75.47.De
75.70.Cn (Magnetic properties of interfaces (multilayers, superlattices, heterostructures)) 72.15.Eb (Electrical and thermal conduction in crystalline metals and alloys) 72.15.Gd (Galvanomagnetic and other magnetotransport effects)