Magneto-electric spectroscopy of Andreev bound states in Josephson quantum dots

Abstract

We theoretically investigate the behavior of Andreev levels in a single-orbital interacting quantum dot in contact to superconducting leads, focusing on the effect of electrostatic gating and applied magnetic field, as relevant for recent experimental spectroscopic studies. In order to account reliably for spin-polarization effects in presence of correlations, we extend here two simple and complementary approaches that are tailored to capture effective Andreev levels: the static functional renormalization group (fRG) and the self-consistent Andreev bound states (SCABS) theory. We provide benchmarks against the exact large-gap solution as well as NRG calculations and find good quantitative agreement in the range of validity. The large flexibility of the implemented approaches then allows us to analyze a sizeable parameter space, allowing to get a deeper physical understanding into the Zeeman field, electrostatic gate, and flux dependence of Andreev levels in interacting nanostructures.

17 pages, 12 figures

References in corpus (39)

• The numerical renormalization group method for quantum impurity systems
• Supercurrent reversal in quantum dots
• Quantum supercurrent transistors in carbon nanotubes
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Spectral properties of locally correlated electrons in a BCS superconductor
• Critical Current 0-$\pi$ Transition in Designed Josephson Quantum Dot Junctions
• Josephson current through a single Anderson impurity coupled to BCS leads
• Even-odd effect in Andreev Transport through a Carbon Nanotube Quantum Dot
• Kondo-Enhanced Andreev Tunneling in InAs Nanowire Quantum Dots
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Superconducting proximity effect in interacting double-dot systems
• Kondo Universal Scaling for a Quantum Dot Coupled to Superconducting Leads
• A novel approach to transport through correlated quantum dots
• Real-time diagrammatic approach to transport through interacting quantum dots with normal and superconducting leads
• Transport Measurement of Andreev Bound States in a Kondo-Correlated Quantum Dot
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Yu-Shiba-Rusinov states in phase-biased S-QD-S junctions
• Josephson current in strongly correlated double quantum dots
• Non-local Andreev transport through an interacting quantum dot
• Josephson current through a quantum dot with spin-orbit coupling
• Microscopic resolution of the interplay of Kondo screening and superconducting pairing: Mn-phthalocyanine molecules adsorbed on superconducting Pb(111)
• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Andreev Transport through Side-Coupled Double Quantum Dots
• Josephson current through interacting double quantum dots with spin-orbit coupling
• Interplay between Josephson effect and magnetic interactions in double quantum dots
• Correlated starting points for the functional renormalization group
• Phase lapses in transmission through interacting two-level quantum dots
• Controllable pi junction in a Josephson quantum-dot device with molecular spin
• Josephson current through a Kondo molecule
• The Andreev states of a superconducting quantum dot: mean field vs exact numerical results
• Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
• Microscopic model of critical current noise in Josephson-junction qubits: Subgap resonances and Andreev bound states
• Superconducting non-equilibrium transport through a weakly interacting quantum dot
• Renormalization effects in interacting quantum dots coupled to superconducting leads
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Quantum Monte Carlo study of nonequilibrium transport through a quantum dot coupled to normal and superconducting leads
• Critical and excess current through an open quantum dot: Temperature and magnetic field dependence
• Josephson-current induced conformational switching of a molecular quantum dot
• Continuously Tunable Charge in Andreev Quantum Dots

Cited by in corpus (22)

• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• The Anderson-Josephson quantum dot -- A theory perspective
• Green's function methods for single molecule junctions
• Josephson-phase-controlled interplay between correlation effects and electron pairing in a three-terminal nanostructure
• Zeeman tunability of Andreev bound states in van-der-Waals tunnel barriers
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Zeeman-driven parity transitions in an Andreev quantum dot
• Magnetic impurities in spin-split superconductors
• Magnetic-Field-Induced Transition in a Quantum Dot Coupled to a Superconductor
• Fluxoid-induced pairing suppression and near-zero modes in quantum dots coupled to full-shell nanowires
• Spin-filtered measurements of Andreev bound states
• Many-body perturbation theory for the superconducting quantum dot: Fundamental role of the magnetic field
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Andreev spin-noise detector
• Influence of superconductivity on the magnetic moment of quantum impurity embedded in BCS superconductor
• Resonator induced quantum phase transitions in a hybrid Josephson junction
• Renormalized and iterative formalism of the Andreev levels within large multi-parametric space
• Quantum phase transitions in superconductor--quantum-dot--superconductor Josephson structures with attractive intradot interaction
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Quantum phase transition in a double quantum dot Josephson junction driven by electron-electron interactions
• Magnetic flux controlled current phase relationship in double Quantum Dot Josephson junction
• Renormalization approach to the superconducting Kondo model