Abstract
The semiclassical Boltzmann equation is applied to spin-dependent transport in magnetic multilayers. The origin of the giant magnetoresistance effect is explained for both the case in which the current flows parallel to the layers and the case in which it is perpendicular to the layers. The approach is first-principles based and includes effects of vertex corrections and local fields.
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REFERENCES
F. Saurenbach, U. Walz, L. Hinchey, P. Grünberg, and W. Zinn, J. Appl. Phys. 63, 3473 (1988).
P. Bruno, Phys. Rev. B. 52, 411 (1995).
M. N. Baibich, J. M. Broto, A. Fert, F. Nguyen Van Dau, F. Petroff, P. Eitenne, G. Creuzet, A. Friederich, and J. Chazelas, Phys. Rev. Lett. 61, 2472 (1988).
J. Callaway, Quantum Theory of the Solid State (Academic Press, New York, 1991) p. 645.
T. R. McGuire and R. I. Potter, IEEE Trans. Magn. Mag-11, 1018 (1975).
R. E. Prange and S. M. Girvin (eds.) The Quantum Hall Effect (Springer-Verlag, New York, 1987).
B. Dieny, V. S. Speriosu, S. S. P. Parkin, B. A. Gurney, D. R. Wilhoit, D. Mauri, Phys. Rev. B 43, 1297 (1991).
G. Binach, P. Grünberg, F. Saurenbach, and W. Zinn, Phys. Rev. B 39, 4828 (1989).
M. Julliere, Phys. Lett. 54A, 225 (1975).
J. S. Moodera, L. R. Kinder, T. M. Wong, and R. Meservey, Phys. Rev. Lett. 74, 3273 (1995).
T. Miyazaki, N. Tezuka, J. Mag. Magn. Mat. 151, 403 (1995).
I. Mertig, R. Zeller, and P. H. Dederichs, Mat. Res. Soc. Symp. Proc. 253, (W. H. Butler, P. H. Dederichs, A. Gonis, and R. L. Weaver, eds.), Materials Research Society, Pittsburgh (1992).
W. H. Butler and G. M. Stocks, Phys. Rev. B 29, 4217 (1984). J. C. Swihart, W. H. Butler, G. M. Stocks, D. M. Nicholson, and R. C. Ward, Phys. Rev. Lett. 57, 1181 (1986).
K. Fuchs, Proc. Philos. Camb. Soc. 34, 100 (1938). E. H. Sondheimer, Adv. Phys. 1, 1 (1952).
P. F. Carcia and A. Suna, J. Appl. Phys. 54, 2000 (1983).
R. E. Camely and J. Barnaś, Phys. Rev. Lett. 63, 664 (1989).
R. Q. Hood and L. M. Falicov, Phys. Rev. B 46, 8287 (1992). L. M. Falicov and R. Q. Hood, J. Appl. Phys. 76, 6595 (1994).
W. H. Butler, X.-G. Zhang, J. M. MacLaren, IEEE Trans. Magnetics 34, 927 (1998).
J. M. MacLaren, X.-G. Zhang, and W. H. Butler, Phys. Rev. B 59, 5470 (1999).
J. M. MacLaren, S. Crampin, D. D. Vvedensky, R. C. Albers, and J. B. Pendry, Computer Phys. Communi. 60, 365 (1990).
J. Mathon, Phys. Rev. B 56, 11810 (1997).
G. H. Vinyard, Phys. Rev. B 26, 4146 (1982).
S. K. Sinha, E. B. Sirota, S. Garoff, and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).
S. B. Soffer, J. Appl. Phys. 38, 1710 (1967).
X.-G. Zhang and W. H. Butler, Phys. Rev. B 51, 10085 (1995).
X.-G. Zhang and W. H. Butler, J. Appl. Physics (Submitted).
W. H. Butler, X.-G. Zhang, D. M. C. Nicholson, T. C. Schulthess, and J. M. MacLaren, J. Appl. Phys. 97, 5282 (1996).
W. H. Butler, X.-G. Zhang, T. C. Schulthess, D. M. C. Nicholson, J. M. MacLaren, V. S. Speriosu, and B. A. Gurney, Phys. Rev. B 56, 14574 (1997).
M. A. M. Gijs and G. E. W. Bauer, Advan. Physics 46, 285 (1997).
H. E. Camblong and P. M. Levy, Phys. Rev. Lett. 69, 2835 (1992); H. E. Camblong and P. M. Levy, J. Appl. Phys. 73, 5533 (1993); H. E. E. Camblong, S. Zhang, and P. M. Levy, Phys. Rev. B 47, 4735 (1993); H. E. E. Camblong, P. M. Levy and S. Zhang, Phys. Rev. B 51, 16052 (1995).
T. Valet and A. Fert, Phys. Rev. B 48, 7099 (1993).
W. P. Pratt, Jr., S. F. Lee, J. M. Slaughter, R. Loloee, P. A. Schroeder, and J. Bass, Phys. Rev. Lett. 66, 3060 (1991); S. F. Lee, W. P. Pratt, Jr., R. Loloee, P. A. Schroeder, and J. Bass, Phys. Rev. B 46, 548 (1992); A. C. Reilly, W. Park. R. Slater, B. Ouaglal, R. Loloee, W. P. Pratt, J. Bass, J. Magn. Magn. Mat. 195, L269 (1999); W. Park, R. Loloee, J. A. Caballero, W. P. Pratt, P. A. Schroeder, J. Bass, A. Fert, C. Vouille, J. Appl. Phys. 85, 4542 (1999); J. A. Borchers, J. A. Dura, J. Unguris, D. Tulchinsky, M. H. Kelley, C. F. Majkrzak, S. Y. Hsu, R, Loloee, W. P. Pratt, and J. Bass, Phys. Rev. Lett. 82, 2796 (1999); P. Holody, W. C. Chiang, R. Loloee, J. Bass, W. P. Pratt, P. A. Schroeder, Phys. Rev. B 58, 12230 (1998).
W. P. Pratt, S.-F. Lee. P. Holody, Q. Yang, R. Loloee, J. Bass, and P. A. Schroeder, J. Magn. Magn. Mat. 126, 406 (1993).
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Butler, W.H., Zhang, XG. & MacLaren, J.M. Semiclassical Theory of Spin-Dependent Transport in Magnetic Multilayers. Journal of Superconductivity 13, 221–238 (2000). https://doi.org/10.1023/A:1007799916385
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DOI: https://doi.org/10.1023/A:1007799916385