Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-04-11
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 3 figures. For more information and the latest version see http://www.physik.uni-kl.de/eggert/papers/index.html
Scientific paper
We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction strength and/or velocity. The inhomogeneities generally cause relevant backscattering, so it is a priori unclear if a perfectly ballistic quantum wire can exist in the low temperature limit. We are able to identify such a perfectly conducting fixed point even for large abrupt changes, which in the considered model corresponds to a velocity matching condition. The general position dependent Green's function is calculated in the presence of a sudden change, which is confirmed numerically with high accuracy. The exact form of the interference pattern in the form of density oscillations around inhomogeneities can be used to estimate the effective strength of local backscattering sources.
Affleck Ian
Eggert Sebastian
Ohst J.
Sedlmayr Nicholas
Sirker Jesko
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