Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-03-13
J. Phys.: Condens. Matter 20, 164211 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages, 2 figures. Invited paper for special issue of Journal of Physics: Condensed Matter on "The 0.7 Feature and Interacti
Scientific paper
10.1088/0953-8984/20/16/164211
We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire, due to a weak violation of momentum conservation in the collisions between electrons. Estimating the rate of change of momentum associated with non-momentum-conserving scattering processes, we derive the expression for the resistivity of the wire in the regime of weakly interacting electrons and find a contribution linear in temperature for a broad range of temperatures below the Fermi energy. By estimating the energy dissipated throughout the wire by low-energy excitations, we then develop a different method for deriving the resistivity of the wire, which can be combined with the bosonization formalism. This allows us to compare our results with previous works relying on an extension of the Tomonaga-Luttinger model to inhomogeneous systems.
Matveev K. A.
Rech Jason
No associations
LandOfFree
Electronic transport in inhomogeneous quantum wires 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 Electronic transport in inhomogeneous quantum wires, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electronic transport in inhomogeneous quantum wires will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-246159