Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-11-11
Phys. Rev. B 71, 155401 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
slightly extended version (e.g. new paragraph about position dependence of impurity), accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.71.155401
We study transport through a one-dimensional quantum wire of correlated fermions connected to semi-infinite leads. The wire contains either a single impurity or two barriers, the latter allowing for resonant tunneling. In the leads the fermions are assumed to be non-interacting. The wire is described by a microscopic lattice model. Using the functional renormalization group we calculate the linear conductance for wires of mesoscopic length and for all relevant temperature scales. For a single impurity, either strong or weak, we find power-law behavior as a function of temperature. In addition, we can describe the complete crossover from the weak- to the strong-impurity limit. For two barriers, depending on the parameters of the enclosed quantum dot, we find temperature regimes in which the conductance follows power-laws with "universal" exponents as well as non-universal behavior. Our approach leads to a comprehensive picture of resonant tunneling. We compare our results with those of alternative approaches.
Andergassen Sabine
Barnabe-Theriault X.
Enss Tilman
Meden Volker
Metzner Walter
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