Physics – Condensed Matter – Materials Science
Scientific paper
2005-01-25
Phys. Rev. B 72, 035450 (2005)
Physics
Condensed Matter
Materials Science
14 pages, 5 figures
Scientific paper
10.1103/PhysRevB.72.035450
Landauer's formula relates the conductance of a quantum wire or interface to transmission probabilities. Total transmission probabilities are frequently calculated using Green function techniques and an expression first derived by Caroli. Alternatively, partial transmission probabilities can be calculated from the scattering wave functions that are obtained by matching the wave functions in the scattering region to the Bloch modes of ideal bulk leads. An elegant technique for doing this, formulated originally by Ando, is here generalized to any Hamiltonian that can be represented in tight-binding form. A more compact expression for the transmission matrix elements is derived and it is shown how all the Green function results can be derived from the mode matching technique. We illustrate this for a simple model which can be studied analytically, and for an Fe|vacuum|Fe tunnel junction which we study using first-principles calculations.
Brocks Geert
Karpan V.
Kelly Patrick J.
Khomyakov Petr A.
Zwierzycki Maciej
No associations
LandOfFree
Conductance calculations for quantum wires and interfaces: mode matching and Green functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conductance calculations for quantum wires and interfaces: mode matching and Green functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conductance calculations for quantum wires and interfaces: mode matching and Green functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-513131