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Journal of Mathematical Physics : Adiabatically switched-on electrical bias and the Landauer…Büttiker formula

By H. D. Cornean, P. Duclos, G. Nenciu, and R. Purice

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Book Id: WPLBN0002169536
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 10 October 2008

Title: Journal of Mathematical Physics : Adiabatically switched-on electrical bias and the Landauer…Büttiker formula  
Author: H. D. Cornean, P. Duclos, G. Nenciu, and R. Purice
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
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Publication Date:
Publisher: American Institute of Physics

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Cornean, P. Duclos, G. Nenciu, And R. Puric, H. D. (n.d.). Journal of Mathematical Physics : Adiabatically switched-on electrical bias and the Landauer…Büttiker formula. Retrieved from http://nationalpubliclibrary.info/


Description
Description: Consider a three dimensional system which looks like a cross connected pipe system, i.e., a small sample coupled to a finite number of leads. We investigate the current running through this system, in the linear response regime, when we adiabatically turn on an electrical bias between leads. The main technical tool is the use of a finite volume regularization, which allows us to define the current coming out of a lead as the time derivative of its charge. We finally prove that in virtually all physically interesting situations, the conductivity tensor is given by a Landauer–Büttiker type formula.

 

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