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Transport through Quantum Dots: Analytic Results from Integrability

Robert Konik·Hubert Saleur·Andreas Ludwig
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Abstract

Recent experiments have probed quantum dots through transport measurements in the regime where they are described by a two lead Anderson model. In this paper we develop a new method to analytically compute for the first time the corresponding transport properties. This is done by using the exact solvability of the Anderson Hamiltonian, together with a generalization of the Landauer-Buttiker approach to integrable systems. The latter requires proper identification of scattering states, a complex and crucial step in our approach. In the Kondo regime, our results include the zero-field, finite temperature linear response conductance, as well as the zero-temperature, non-equilibrium conductance in an applied Zeeman field.

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Robert Konik, Hubert Saleur, Andreas Ludwig. 2000-10-18. Transport through Quantum Dots: Analytic Results from Integrability. https://doi.org/10.1103/physrevlett.87.236801

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