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Phys. Rev. B 53, 8203–8206 (1996)

Semiclassical transport theory of inhomogeneous systems

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L. Sheng
Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong
National Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093, People’s Republic of China

Z. D. Wang
Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong

D. Y. Xing
Chinese Center of Advanced Science and Technology (World Laboratory) P.O. Box 8730, Beijing, People’s Republic of China
Department of Physics, Nanjing University, Nanjing, People’s Republic of China

Jian-Xin Zhu
Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong

Received 8 May 1995; published in the issue dated 1 April 1996

Based on the probability-conserved Boltzmann equation, we develop a formal and general transport theory for the conductivity in inhomogeneous systems. In particular, we show that the local current density inside the sample can be expressed as a boundary value integral, so that the local electric field need not be calculated explicitly. The theory is first applied to multilayer systems and shown to recover the previous theory. More importantly, by including spin-dependent interface scattering and bulk scattering, we employ our theory successfully to account for the giant magnetoresistance in magnetic granular systems. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.53.8203
DOI:
10.1103/PhysRevB.53.8203
PACS:
72.10.Bg, 72.10.Fk, 72.15.Gd, 75.70.Cn