Dresden 2003 – scientific programme
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M: Metallphysik
M 41: Postersitzung
M 41.42: Poster
Thursday, March 27, 2003, 14:30–16:30, HSZ
The Landauer magneto-conductance formula — •Assia Abdellaoui1,2 and Farid Benamira1 — 1Departement de Physique, Universite Mentouri-Constantine, Constantine, Algerie — 2I. Institut of Theoretical Physics, Hamburg University, Hamburg, Germany
Following the work of Benamira [1],[2] which presents a new linear response theory approach to transport in mesoscopic systems, we derive a new and general linear master equation for the density operator including the influence of an arbitrary magnetic field. The conductor is treated as a scattering object characterized by its transmission and reflection probabilities. Our approach is based on Landauer’s approach which defines the conductance of a mesoscopic scatterer as the ratio between the current emitted by the source reservoir and the induced electrochemical difference between the boundaries of the sample [3],[4]. Using the resulting master equation, we derive a generalized multi-channel magneto-conductance formula.
[1] F. Benamira, Ph. D thesis, department of physics, Montreal university 96.
[2] F. Benamira and C. M. Van Vliet, Many channel conductance formula: Linear response theory approach,.submitted.
[3] R. Landauer, IBM J. Res. Dev. 1, 223 (1957).
[4] R. Landauer, Philos. Mag. 21, 863 (1970).