BCS surrogate models for floating superconductor-semiconductor hybrids

Abstract

Superconductor-semiconductor hybrid devices, involving quantum dots interfaced with floating and/or grounded superconductors, have reached a level of complexity which calls for the development of versatile and numerically efficient modelling tools. Here, we propose an extension of the surrogate model solver for sub-gap states [Phys. Rev. B 108, L220506 (2023)], which is able to handle floating superconducting islands with finite charging energy. Upon eliminating all finite-size effects of the computationally demanding Richardson model approach, we achieve a more efficient way of calculating the sub-gap spectra and related observables without compromising their accuracy. We provide a number of benchmarks between the two approaches and showcase the versatility of the extended surrogate model solver by studying the stability of spin-triplet ground states in various tunable devices. The methods introduced here set the stage for reliable microscopic simulations of complex superconducting quantum circuits across all their relevant parameter regimes.

12 pages, 12 figures

References in corpus (29)

• The density-matrix renormalization group in the age of matrix product states
• Exponential Protection of Zero Modes in Majorana Islands
• The ITensor Software Library for Tensor Network Calculations
• Hard gap in epitaxial semiconductor-superconductor nanowires
• Realization of a minimal Kitaev chain in coupled quantum dots
• Superconducting Gatemon Qubit based on a Proximitized Two-Dimensional Electron Gas
• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Superconductor-semiconductor hybrid cavity quantum electrodynamics
• Spectral properties of locally correlated electrons in a BCS superconductor
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Fixed-N Superconductivity: The Crossover from the Bulk to the Few-Electron Limit
• Spin-Orbit Protection of Induced Superconductivity in Majorana Nanowires
• Epitaxial Pb on InAs nanowires
• A perspective on semiconductor-based superconducting qubits
• The Crossover from the Bulk to the Few-Electron limit in Ultrasmall Metallic Grains
• Gate-tunable, superconductor-semiconductor parametric amplifier
• The Coulomb Blockade in Quantum Boxes
• Signatures of nonlocal Cooper-pair transport and of a singlet-triplet transition in the critical current of a double-quantum-dot Josephson junction
• Excitations in a superconducting Coulombic energy gap
• Gate-tunable kinetic inductance parametric amplifier
• Coulomb blockade and Non-Fermi-liquid behavior in quantum dots
• Surrogate model solver for impurity-induced superconducting subgap states
• Rigorous results on topological superconductivity with particle number conservation
• Quantum circuits with multiterminal Josephson-Andreev junctions
• InAs/MoRe hybrid semiconductor/superconductor nanowire devices
• Exchange interaction between two quantum dots coupled through a superconducting island
• Generalized transmon Hamiltonian for Andreev spin qubits
• Richardson model with complex level structure and spin-orbit coupling for hybrid superconducting islands: stepwise suppression of pairing and magnetic pinning
• Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs

Cited by in corpus (5)

• Majorana modes in quantum dots coupled via a floating superconducting island
• Double-quantum-dot Andreev molecules: Phase diagrams and critical evaluation of effective models
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Yu-Shiba-Rusinov states in color superconducting quark matter