Transport through Quantum Dots: Analytic Results from Integrability

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 the corresponding transport properties. This is done by using the exact solvability of the Anderson Hamiltonian, together with a generalization of the Landauer-Büttiker approach to integrable systems. In the Kondo regime, we compute analytically for the first time the zero-field, finite temperature linear response conductance, as well as giving closed form expressions describing the zero-temperature, nonequilibrium conductance in an applied Zeeman field.