- Non-equilibrium transport in the Anderson model of a biased quantum dot: Scattering Bethe Ansatz phenomenology
- Number of pages
- Amsterdam: Instituut voor Theoretische Fysica, Universiteit van Amsterdam
- Document type
- Working paper
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
We derive the transport properties of a quantum dot subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz, a generalization of the traditional Thermodynamic Bethe Ansatz to open systems out of equilibrium, we derive exact results for the quantum dot occupation out of equilibrium and, by introducing phenomenological spin- and charge-fluctuation distribution functions in the computation of the current, obtain the differential conductance for large U/\Gamma. The Hamiltonian to describe the quantum dot system is the Anderson impurity Hamiltonian and the current and dot occupation as a function of voltage are obtained numerically. We also vary the gate voltage and study the transition from the mixed valence to the Kondo regime in the presence of a non-equilibrium current. We conclude with the difficulty we encounter in this model and possible way to solve them without resorting to a phenomenological method.
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