Drude Formalism Study of The Giant Magnetoresistance in Fe(t)/Cu/Fe Trilayers

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Drude Formalism Study of The Giant Magnetoresistance in Fe(t)/Cu/Fe Trilayers

Author Affiliations

¹Department of Physics, Nwafor Orizu College of Education, P.M.B. 1734, Onitsha, Anambra, NIGERIA
² Department of Physics/Industrial Physics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, Anambra, NIGERIA

Res. J. Recent Sci., Volume 1, Issue (11), Pages 56-58, November,2 (2012)

Abstract

The recently developed Drude-like model for resistivity in metallic multilayers is applied to Fe(t)/Cu(10A)/Fe(10A) trilayer systems. The basic GMR characteristics deduced conform qualitatively to reports communicated in literature. Our analyses show that the Fuchs-Sondheimer theory of thin film resistivity is not valid for layered structures and spin-dependent scattering in the bulk is the dominant mechanism for GMR in the investigated systems.

References

Baibich M.N., Broto J.M., Fert A., Nguyen Van Dau F., Petroff F., Eitenne P., Creuzet G., Friederich A. and Chazelas J., Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices, Phys. Rev. Lett61, 2472 - 2475 (1988)
Binasch G., Grunberg P., Saurenbach F. and Zinn W., Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange, Phys. Rev. B, 39, 4828 - 4830 (1989)
Lu L., Lu G., Zhang Z., Gao C., Yu T. and Chen P., Giant magnetoresistance of Co/ITO multilayers, Solid State Commun.,149, 2254-2256 (2009)
Papp G. and Borza S., Giant magnetoresistance in a two-dimensional electron gas modulated by periodically repeated magnetic barriers, Solid State Commun.,150, 2023 - 2027 (2010)
Lu M-W. and Yang G-J., Magnetoresistance effect in a hybrid ferromagnetic/semiconductor nanostructure, Solid State Commun.,141, 248 - 251 (2007)
Elsafi B., Trigui F. and Fakhfakh Z., Effects of bulk and interface scattering on giant magnetoresistance in the Co/Cu multilayer systems, Comput. Mater. Sci., 50(2), 800 - 804 (2010)
Vedyayev A., Ryzhanova N. and Dieny B., Quantum effects in the giant magnetoresistance (GMR) of magnetic multilayers, Physica A, 241, 207 - 215 (1997)
Oomi G., Sakai T., Uwatoko Y., Takanashi K. and Fujimori H., Magnetoresistance of magnetic multilayers at high pressure, Physica B,239, 19 - 28 (1997)
Yu. T, Li X-Q., Li D-G., Hao S-F., Wang L-M., Zhang Z-G., Wu G.H., Zhang X.X., Li Q-L. and Chen P., Magnetic property and magnetoresistance in Fe/ITO multilayers, J. Magn. Magn. Mater., 320, 2185 - 2189 (2008)
Lu L., Yang Y-X., Gao C., Xiong Y-Q. and Chen P., Temperature dependence of magnetoresistance in Co/ITO multilayers, J. Alloys. Comp., 492, 61 - 64 (2010)
Uba I., Ekpunobi A.J. and Ekwo P.I., Magnetoresistance – temperature relationship: calculus of variation approach, J. Sci. and Arts,4(17), 509 - 512 (2011)
Hood R.Q. and Falicov L.M., Boltzmann equation approach to the negative magnetoresistance of ferromagnetic – normal metal multilayers, Phys. Rev. B,46, 8287 - 8296 (1992)
Barnas J., Fuss A., Camley R.E., Grunberg P. and Zinn W., Novel magnetoresistance effect in layered magnetic structures: Theory and experiment, Phys. Rev. B,42, 8110 - 8120 (1990)
Camblong H.E. and Levy P.M., Novel results for quasiclassical linear transport in metallic multilayers, Phys. Rev. Lett., 69, 2835 - 2838 (1992)
Barnas J and Bruynseraede Y., Electronic transport in ultrathin magnetic multilayers, Phys. Rev. B53, 5449 - 5460 (1996)
Camblong H.E., Linear transport theory of magnetoconductance in metallic multilayers: A real – space approach, Phys. Rev. B,51, 1855 - 1865 (1995)
The model and its derivation are part of still – in – progress doctorate work of U.J.I.
Thanh N.T., Tu L.T., Ha N.D., Kim C.O., Kim C., Shin K.H. and Parvatheeswara Rao B., Thickness dependence of parallel and perpendicular anisotropic resistivity in Ta/NiFe/IrMn/Ta multilayer studied by anisotropic magnetoresistance and planar Hall effect, J. Appl. Phys.,101, 053702-1-5 (2007)
Sondheimer E.H., The mean free path of electrons in metal, Adv. Phys.50(6), 466 - 537 (2001)

[ref1] Baibich M.N., Broto J.M., Fert A., Nguyen Van Dau F., Petroff F., Eitenne P., Creuzet G., Friederich A. and Chazelas J., Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices, Phys. Rev. Lett61, 2472 - 2475 (1988)

[ref2] Binasch G., Grunberg P., Saurenbach F. and Zinn W., Enhanced magnetoresistance in layered magnetic structures with antiferromagnetic interlayer exchange, Phys. Rev. B, 39, 4828 - 4830 (1989)

[ref3] Lu L., Lu G., Zhang Z., Gao C., Yu T. and Chen P., Giant magnetoresistance of Co/ITO multilayers, Solid State Commun.,149, 2254-2256 (2009)

[ref4] Papp G. and Borza S., Giant magnetoresistance in a two-dimensional electron gas modulated by periodically repeated magnetic barriers, Solid State Commun.,150, 2023 - 2027 (2010)

[ref5] Lu M-W. and Yang G-J., Magnetoresistance effect in a hybrid ferromagnetic/semiconductor nanostructure, Solid State Commun.,141, 248 - 251 (2007)

[ref6] Elsafi B., Trigui F. and Fakhfakh Z., Effects of bulk and interface scattering on giant magnetoresistance in the Co/Cu multilayer systems, Comput. Mater. Sci., 50(2), 800 - 804 (2010)

[ref7] Vedyayev A., Ryzhanova N. and Dieny B., Quantum effects in the giant magnetoresistance (GMR) of magnetic multilayers, Physica A, 241, 207 - 215 (1997)

[ref8] Oomi G., Sakai T., Uwatoko Y., Takanashi K. and Fujimori H., Magnetoresistance of magnetic multilayers at high pressure, Physica B,239, 19 - 28 (1997)

[ref9] Yu. T, Li X-Q., Li D-G., Hao S-F., Wang L-M., Zhang Z-G., Wu G.H., Zhang X.X., Li Q-L. and Chen P., Magnetic property and magnetoresistance in Fe/ITO multilayers, J. Magn. Magn. Mater., 320, 2185 - 2189 (2008)

[ref10] Lu L., Yang Y-X., Gao C., Xiong Y-Q. and Chen P., Temperature dependence of magnetoresistance in Co/ITO multilayers, J. Alloys. Comp., 492, 61 - 64 (2010)

[ref11] Uba I., Ekpunobi A.J. and Ekwo P.I., Magnetoresistance – temperature relationship: calculus of variation approach, J. Sci. and Arts,4(17), 509 - 512 (2011)

[ref12] Hood R.Q. and Falicov L.M., Boltzmann equation approach to the negative magnetoresistance of ferromagnetic – normal metal multilayers, Phys. Rev. B,46, 8287 - 8296 (1992)

[ref13] Barnas J., Fuss A., Camley R.E., Grunberg P. and Zinn W., Novel magnetoresistance effect in layered magnetic structures: Theory and experiment, Phys. Rev. B,42, 8110 - 8120 (1990)

[ref14] Camblong H.E. and Levy P.M., Novel results for quasiclassical linear transport in metallic multilayers, Phys. Rev. Lett., 69, 2835 - 2838 (1992)

[ref15] Barnas J and Bruynseraede Y., Electronic transport in ultrathin magnetic multilayers, Phys. Rev. B53, 5449 - 5460 (1996)

[ref16] Camblong H.E., Linear transport theory of magnetoconductance in metallic multilayers: A real – space approach, Phys. Rev. B,51, 1855 - 1865 (1995)

[ref17] The model and its derivation are part of still – in – progress doctorate work of U.J.I.

[ref18] Thanh N.T., Tu L.T., Ha N.D., Kim C.O., Kim C., Shin K.H. and Parvatheeswara Rao B., Thickness dependence of parallel and perpendicular anisotropic resistivity in Ta/NiFe/IrMn/Ta multilayer studied by anisotropic magnetoresistance and planar Hall effect, J. Appl. Phys.,101, 053702-1-5 (2007)

[ref19] Sondheimer E.H., The mean free path of electrons in metal, Adv. Phys.50(6), 466 - 537 (2001)