SEMINAIRE MERCREDI 26 NOVEMBRE 2003
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Horia Cornean
Aalborg University

Title: A rigorous proof for the Landauer-Buttiker formula

Summary: We study the quantum transport in finite systems coupled to
particle reservoirs by semi-infinite leads. Using a tight-binding
framework, we rigorously prove the Landauer-Buttiker formula. As it
is well known in physics, this formula states that the conductance
coefficients for such systems (derived from a Kubo-type
linear-response theory) are closely related to the S-matrix of the
associated scattering problem. As an application, the resonant
transport through a quantum dot is discussed. The single charge
tunneling processes are related to the spectral properties of an
effective Hamiltonian via the Feschbach formula. This work is done in
collaboration with V. Moldoveanu, A. Jensen and F. Bentosela.