Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Büttiker formula

Horia Cornean, Pierre Duclos, Gheorghe Nenciu, Radu Purice

Publikation: Bog/antologi/afhandling/rapportRapportForskning

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Abstrakt

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.

OriginalsprogEngelsk
ForlagDepartment of Mathematical Sciences, Aalborg University
Antal sider20
StatusUdgivet - 2007
NavnResearch Report Series
NummerR-2007-26
ISSN1399-2503

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