Quantum Transport and Integrability of the Anderson Model for a Quantum Dot with Multiple Leads

Details Quantum Transport and Integrability of the Anderson Model for a Quantum Dot with Multiple Leads Quantum Transport and Integrability of the Anderson Model for a Quantum Dot with Multiple Leads

2003-02-05

arxiv.org/abs/cond-mat/0302090v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.68.125327

We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker theory. In the Kondo regime, a closed form expression is given for the matrix conductance at zero temperature and when all the leads are close to the symmetric point. A bias-induced splitting of the Kondo resonance is possible for three or more leads. Specifically, for $N$ leads, with each at a different chemical potential, there can be $N-1$ Kondo peaks in the conductance.

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