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- W1669720906 abstract "This tutorial article gives an introduction to the methods needed to treat interacting electrons in a quantum wire with a single occupied band. Since one-dimensional Fermions cannot be described in terms of noninteracting quasiparticles, the Tomonaga-Luttinger model is presented in some detail with an emphasis on transport properties. To achieve a self-contained presentation, the Bosonization technique for one-dimensional Fermions is developed, accentuating features relevant for nonequilibrium systems. The screening of an impurity in the wire is discussed, and the insight gained on the electrostatics of a quantum wire is used to describe the coupling to Fermi-liquid reservoirs. These parts of the article should be readily accessible to students with a background in quantum mechanics including second quantization. To illustrate the usefulness of the methods presented, the current-voltage relation is determined exactly for a spin-polarized quantum wire with a particular value of the interaction parameter. This part requires familiarity with path integral techniques and connects with the current literature." @default.
- W1669720906 created "2016-06-24" @default.
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- W1669720906 date "2002-01-01" @default.
- W1669720906 modified "2023-09-25" @default.
- W1669720906 title "Transport in Single Channel Quantum Wires" @default.
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- W1669720906 doi "https://doi.org/10.1007/978-94-015-9974-0_1" @default.
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