Coulomb blockade of a nearly-open Majorana island

Abstract

We consider the ground-state energy and the spectrum of the low-energy excitations of a Majorana island formed of topological superconductors connected by a single-mode junction of arbitrary transmission. Coulomb blockade results in $e$-periodic modulation of the energies with the gate-induced charge. We find the amplitude of modulation as a function of reflection coefficient $\mathcal{R}$. The amplitude scales as $\sqrt{\mathcal{R}}$ in the limit $\mathcal{R}\to 0$. At larger $\mathcal{R}$, the dependence of the amplitude on the Josephson and charging energies is similar to that of a conventional-superconductor Cooper-pair box. The crossover value of $\mathcal{R}$ is small and depends on the ratio of the charging energy to superconducting gap.

arXiv comment5+11 pages, 3+1 figures

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Cited by in corpus (14)

• Observation of vanishing charge dispersion of a nearly-open superconducting island
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Spectral response of Josephson junctions with low-energy quasiparticles
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Quantum phase slips in a resonant Josephson junction
• Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Tunneling of fluxons via a Josephson resonant level
• Design of a Majorana trijunction
• Josephson radiation patterns in underdamped topological Josephson junctions
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
• Dispersive Gate Sensing the Quantum Capacitance of a Point Contact
• SWAP gate between a Majorana qubit and a parity-protected superconducting qubit