Discontinuous current-phase relations in small 1D Josephson junction arrays

Abstract

We study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase relationships (I$\Phi$). We present results for a three-junction system in the vicinity of charge degeneracy lines and triple points. We explain the generalization to larger arrays, show that discontinuities of the I$\Phi$ at phase $\pi$ persist and that, at maximum degeneracy, the problem can be mapped to a tight-binding model providing analytical results for arbitrary system size.

4 pages, 4 figures

References in corpus (5)

• Electron transport through double quantum dots
• Quantum oscillations in two coupled charge qubits
• Persistent current in superconducting nanorings
• An electrostatically defined serial triple quantum dot charged with few electrons
• Double-dot charge qubit and transport via dissipative cotunneling

Cited by in corpus (7)

• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Bosonic Mott Insulator with Meissner Currents
• Kondo Resonance of a Microwave Photon
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Array of Josephson junctions with a non-sinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors