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Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry

K-V Pham·F. Piechon·K-I Imura·P. Lederer
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Abstract

We propose a formalism which uses boundary conditions imposed on the Luttinger liquid (LL) to describe the transport properties of a LL coupled to reservoirs. The various boundary conditions completely determine linear transport in the joint system reservoirs+LL. As an illustration we consider an exactly solvable microscopic model in a multi-terminal geometry for which such boundary conditions can be explicitly derived; in this model the Landauer-Büttiker formalism fails: if it were valid, the relation between the conductance matrix elements and the reflection and transmission coefficients could yield negative probabilities. We then apply our formalism to a discussion of shot noise through an impurity in a LL connected to two reservoirs.

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K-V Pham, F. Piechon, K-I Imura, P. Lederer. 2002-07-11. Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry. https://doi.org/10.1103/physrevb.68.205110

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