Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions

Abstract

We study the energy spectrum and the electromagnetic response of Andreev bound states in short Josephson junctions made of semiconducting nanowires. We focus on the joint effect of Zeeman and spin-orbit coupling on the Andreev level spectra. Our model incorporates the penetration of the magnetic field in the proximitized wires, which substantially modifies the spectra. We pay special attention to the occurrence of fermion parity switches at increasing values of the field and to the magnetic field dependence of the absorption strength of microwave-induced transitions. Our calculations can be used to extract quantitative information from microwave and tunneling spectroscopy experiments, such as the recently reported measurements in Van Woerkom et al., arXiv:1609.00333.

22 pages, 12 figures. v2: a few edits in text and figures, references added. Published version

References in corpus (21)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Introduction to topological superconductivity and Majorana fermions
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Ballistic superconductivity in semiconductor nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Scattering matrix approach to the description of quantum electron transport
• Single fermion manipulation via superconducting phase differences in multiterminal Josephson junctions
• Spin-orbit induced chirality of Andreev states in Josephson junctions
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Josephson current through a quantum dot with spin-orbit coupling
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
• Theory of microwave-assisted supercurrent in quantum point contacts
• Manipulation with Andreev states in spin active mesoscopic Josephson junctions
• Robustness of Majorana bound states in the short junction limit
• Quasiparticle trapping, Andreev level population dynamics, and charge imbalance in superconducting weak links
• Theory of microwave spectroscopy of Andreev bound states with a Josephson junction
• Spin-blockade qubit in a superconducting junction

Cited by in corpus (27)

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• Andreev spin qubits in multichannel Rashba nanowires
• A gate-tunable, field-compatible fluxonium
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• Superconducting diode effect in quasi-one-dimensional systems
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• Dynamical polarization of the fermion parity in a nanowire Josephson junction
• Finite length effect on supercurrents between trivial and topological superconductors
• Microwave spectroscopy of interacting Andreev spins
• Progress in superconductor-semiconductor topological Josephson junctions
• Josephson Diode Effect in Topological Superconductor
• Microwave spectroscopy of Andreev states in InAs nanowire-based hybrid junctions using a flip-chip layout
• Coherence-enhanced, phase-dependent dissipation in long SNS Josephson junctions: revealing Andreev Bound States dynamics
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• A flux-controlled two-site Kitaev chain
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Quasiparticle poisoning in trivial and topological Josephson junctions
• Coexistence of topological and nontopological Fermi-superfluid phases
• Distinguishing Majorana bound states and Andreev bound states with microwave spectra