Andreev bound state spectroscopy of a quantum-dot-based Aharonov-Bohm interferometer with superconducting terminals

Abstract

We analytically and numerically investigate an Aharonov-Bohm interferometer with two superconducting terminals and a strongly correlated quantum dot in one arm. Through a rigorous derivation, we prove that this double-path interferometer is spectrally equivalent to a simpler system: an interacting quantum dot coupled to a non-interacting side-coupled proximitized mode and a semiconductor lead. This equivalence reveals a simple interpretation of the interferometer's behavior through the competition of a geometric factor $\chi$, a key parameter characterizing the anomalous part of the hybridization function, with the properties of the side-coupled mode. We identify the conditions for the formation of doublet chimney in the phase diagrams in more general setting. Moreover, we show how the obtained Andreev bound state spectra clearly indicate the presence of Josephson diode effect generated by interferometric phenomena.

16 pages, 8 figures

References in corpus (31)

• Random-Matrix Theory of Quantum Transport
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• The Josephson diode effect in supercurrent interferometers
• Josephson current through a single Anderson impurity coupled to BCS leads
• Josephson current through a nanoscale magnetic quantum dot
• The low-energy scale of the periodic Anderson model
• Aharonov-Bohm Interferometry with Interacting Quantum Dots: Spin Configurations, Asymmetric Interference Patterns, Bias-Voltage-Induced Aharonov-Bohm Oscillations, and Symmetries of Transport Coefficients
• Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
• Yu-Shiba-Rusinov screening of spins in double quantum dots
• The Anderson-Josephson quantum dot -- A theory perspective
• Understanding the Josephson current through a Kondo-correlated quantum dot
• A weak coupling CTQMC study of the single impurity and periodic Anderson models with s-wave superconducting baths
• Josephson diode based on conventional superconductors and a chiral quantum dot
• Quantum dot attached to superconducting leads: Relation between symmetric and asymmetric coupling
• Flux-dependent Kondo temperature in an Aharonov-Bohm interferometer with an in-line quantum dot
• Generalized atomic limit of a double quantum dot coupled to superconducting leads
• Spectral and transport properties of a half-filled Anderson impurity coupled to phase-biased superconducting and metallic leads
• Surrogate model solver for impurity-induced superconducting subgap states
• Supercurrent and multiple singlet-doublet phase transitions of a quantum dot Josephson junction inside an Aharonov-Bohm ring
• Conductance Fluctuations in a Metallic Wire Interrupted by a Tunnel Junction
• Fano effect in a Josephson junction with a quantum dot
• Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
• Hybrid normal-superconducting Aharonov-Bohm quantum thermal device
• Quantum impurities in channel mixing baths
• Interplay between Josephson and Aharonov-Bohm effects in Andreev interferometers
• Rigorous Wilsonian Renormalization Group for impurity models with a spectral gap
• Unified theory of quantum phase transitions in quantum dots with gapped host bands
• Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
• π junction transition in InAs self-assembled quantum dot coupled with SQUID
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots

Cited by in corpus (2)

• Strongly correlated Josephson junction: proximity effect in the single-layer Hubbard model
• Effects of electron-electron interaction and spin-orbit coupling on Andreev pair qubits in quantum dot Josephson junctions