Parity transitions in the superconducting ground state of hybrid InSb-Al Coulomb islands
arXiv:1804.08405 · doi:10.1038/s41467-018-07279-7
Abstract
The number of electrons in small metallic or semiconducting islands is quantized. When tunnelling is enabled via opaque barriers this number can change by an integer. In superconductors the addition is in units of two electron charges (2e), reflecting that the Cooper pair condensate must have an even parity. This ground state (GS) is foundational for all superconducting qubit devices. Here, we study a hybrid superconducting-semiconducting island and find three typical GS evolutions in a parallel magnetic field: a robust 2e-periodic even-parity GS, a transition to a 2e-periodic odd-parity GS,and a transition from a 2e- to a 1e-periodic GS. The 2e-periodic odd-parity GS persistent in gate-voltage occurs when a spin-resolved subgap state crosses zero energy. For our 1e-periodic GSs we explicitly show the origin being a single zero-energy state gapped from the continuum, i.e. compatible with an Andreev bound states stabilized at zero energy or the presence of Majorana zero modes.
References in corpus (19)
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Majorana box qubits
- Epitaxy of Advanced Nanowire Quantum Devices
- Ballistic superconductivity in semiconductor nanowires
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- Transport signatures of quasiparticle poisoning in a Majorana island
- Conductance Quantization at zero magnetic field in InSb nanowires
- Conductance of a proximitized nanowire in the Coulomb blockade regime
- Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
- Orbital contributions to the electron g-factor in semiconductor nanowires
- Conductance of a superconducting Coulomb blockaded Majorana nanowire
- Probing electron-hole components of subgap states in Coulomb blockaded Majorana islands
Cited by in corpus (48)
- Topological superconductivity in full shell proximitized nanowires
- Flux-induced topological superconductivity in full-shell nanowires
- Flux-induced Majorana modes in full-shell nanowires
- Majorana nanowires for topological quantum computation
- Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
- Epitaxial Pb on InAs nanowires
- Shadow epitaxy for in-situ growth of generic semiconductor/superconductor devices
- Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
- Coherent transport through a Majorana island in an Aharonov-Bohm interferometer
- In-plane selective area InSb-Al nanowire quantum networks
- Photon Assisted Tunneling of Zero Modes in a Majorana Wire
- Decays of Majorana or Andreev oscillations induced by steplike spin-orbit coupling
- Majorana-like Coulomb spectroscopy in the absence of zero bias peaks
- Majorana Braiding in Realistic Nanowire Y-Junctions and Tuning Forks
- Partially-separated Majorana modes in a disordered medium
- Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
- Excitations in a superconducting Coulombic energy gap
- Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
- Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
- Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
- Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
- Progress in superconductor-semiconductor topological Josephson junctions
- Fusion rules in a Majorana single-charge transistor
- Fermion-parity qubit in a proximitized double quantum dot
- Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
- Experimental review on Majorana zero-modes in hybrid nanowires
- Theory of Coulomb blockaded transport in realistic Majorana nanowires
- Supercurrent parity-meter in a nanowire Cooper-pair transistor
- Proposal for measuring the parity anomaly in a topological superconductor ring
- Majorana modes in quantum dots coupled via a floating superconducting island
- Superconductivity and parity preservation in as-grown In islands on InAs nanowires
- Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
- Probing electron-hole weights of an Andreev bound state by transient currents
- Majorana versus Andreev bound state energy oscillations in a 1D semiconductor-superconductor heterostructure
- Supercurrent transport through 1-periodic full-shell Coulomb islands
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island
- Stabilizing topological superconductivity in disordered spin-orbit coupled semiconductor-superconductor heterostructures
- 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
- Self-consistent quasi-particle and hybrid functional calculations for Al/InAs/Al heterojunctions: band offset and spin-orbit coupling effects
- Majorana polarization in disordered heterostructures
- A unified numerical approach to semiconductor-superconductor heterostructures
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Simulating exotic phases of matter with bond-directed interactions with arrays of Majorana-Cooper pair boxes
- Gate-tunable negative differential conductance in hybrid semiconductor-superconductor devices
- Majorana modes in graphene strips: polarization, wavefunctions, disorder, and Andreev states
- Electronic transport in double-nanowire superconducting islands with multiple terminals