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

Abstract

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-Büttiker 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.

arXiv comment5 pages, 2 figures

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Cited by in corpus (11)

• Probing the Kondo density of states in a three-terminal quantum ring
• Three-terminal transport through a quantum dot in the Kondo regime: Conductance, dephasing, and current-current correlations
• Non-equilibrium conductance of a three-terminal quantum dot in the Kondo regime: Perturbative Renormalization Group
• Photon-assisted electron transport through a three-terminal quantum dot system with nonresonant tunneling channels
• Kondo screening cloud in a double-quantum dot system
• Kondo Effect in Multiple-Dot Systems
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• Mesoscopic Fluctuations in Quantum Dots in the Kondo Regime
• Transport Properties of Multiple Quantum Dots Arranged in Parallel: Results from the Bethe Ansatz
• Multi-terminal Anderson impurity model in nonequilibrium: Analytical perturbative treatment
• Multistage Kondo effect in a multiterminal geometry: A modular quantum interferometer