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Zeitschrift für Physik B Condensed Matter
ISSN: 0722-3277 (printed version)
ISSN: 1431-584X (electronic version)
Abstract Volume 100 Issue 3 (1996) pp 469-475
A formal theory of the conductivity and application to the giant magnetoresistance
L. Sheng (1)(2), Z. D. Wang (1)(2), D. Y. Xing (1)(3), Jian-Xin Zhu (2)
(1) National Laboratory of Solid State Microstructure, Institute of Solid State Physics, Nanjing University, Nanjing, People's Republic of China
(2) Department of Physics, the University of Hong Kong, Pokflam Road, Hong Kong
(3) Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People's Republic of China
Received: 1 June 1995/Revised version: 19 September 1995
Abstract. The transport in a system with inhomogeneous elastic scattering is described in terms of a probability-conserved Boltzmann equation. We demonstrate that the spatially varied current density depends only on the voltage drop between the ends of the sample. This fact enables us to develop a formal and general theory for the conductivity without determining the actual electric field inside the sample. The theory is first applied to multilayer systems and shown to recover the previous theory. By including the spin-dependent interface scattering and bulk scattering, we employ our theory to account for the giant magnetoresistance (MR) in magnetic granular systems with both spherical and cylindrical granules. The results obtained reproduce the experimental dependence of the MR on annealing temperature.
PACS: 72.10Fk; 72.10Bg; 75.50Rr; 72.15Gd
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