Numerical Renormalization Group Approach to a Quantum Dot Coupled to Normal and Superconducting Leads
arXiv:cond-mat/0701570 · doi:10.1143/JPSJ.76.074701
Abstract
We study transport through a quantum dot coupled to normal and superconducting leads using the numerical renormalization group method. We show that the low-energy properties of the system are described by the local Fermi liquid theory despite of the superconducting correlations penetrated into the dot due to a proximity effect. We calculate the linear conductance due to the Andreev reflection in the presence of the Coulomb interaction. It is demonstrated that the maximum structure appearing in the conductance clearly characterizes a crossover between two distinct spin-singlet ground states, i.e. the superconducting singlet state and the Kondo singlet state. It is further elucidated that the gate-voltage dependence of the conductance shows different behavior in the superconducting singlet region from that in the Kondo singlet region.
10 pages, 6 figures; a typo in eq. (B.5) corrected, which does not affect any other results of the paper
References in corpus (17)
- Kondo Physics in a Single Electron Transistor
- A Tunable Kondo Effect in Quantum Dots
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Kondo Effect and Josephson Current through a Quantum Dot between Two Superconductors
- Resonant Andreev Tunneling in Strongly Interacting Quantum Dots
- Kondo effect in Normal-Superconductor Quantum Dots
- Andreev scattering and Josephson current in a one-dimensional electron liquid
- Andreev Scattering and the Kondo Effect
- Renormalized Parameters for Impurity Models
- Quantum phase transition in a minimal model for the Kondo effect in a Josephson junction
- Excess Kondo resonance in a quantum dot device with normal and superconducting leads: the physics of Andreev-normal co-tunneling
- Andreev tunnelling in quantum dots: A slave-boson approach
- Tunneling through an Anderson impurity between superconductors
- Electron transport through strongly interacting quantum dot coupled to normal metal and superconductor
- Quantum Dot in the Kondo Regime coupled to p-wave superconductors
- Photon-Assisted Quasiparticle Transport and Andreev Transport through an Interacting Quantum Dot
- Fano effect of a strongly interacting quantum dot in contact with superconductor
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