Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-03-04
Phys. Rev. B 81, 155422 (2010)
Physics
Condensed Matter
Other Condensed Matter
12 pages, 5 figures
Scientific paper
We introduce a new quantum transport formalism based on a map of a real 3-dimensional lead-conductor-lead system into an effective 1-dimensional system. The resulting effective 1D theory is an in principle exact formalism to calculate the conductance. Besides being more efficient than the principal layers approach, it naturally leads to a 5-partitioned workbench (instead of 3) where each part of the device (the true central device, the ballistic and the non-ballistic leads) is explicitely treated, allowing better physical insight into the contact resistance mechanisms. Independently, we derive a generalized Fisher-Lee formula and a generalized Meir-Wingreen formula for the correlated and uncorrelated conductance and current of the system where the initial restrictions to ballistic leads are generalized to the case of resistive contacts. We present an application to graphene nanoribbons.
Darancet Pierre
Mayou Didier
Olevano Valerio
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