Transport through Quantum Dots: Analytic Results from Integrability

Details Transport through Quantum Dots: Analytic Results from Integrability Transport through Quantum Dots: Analytic Results from Integrability

2000-10-18

arxiv.org/abs/cond-mat/0010270v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.87.236801

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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