Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains

Abstract

We present low temperature transport measurements in one dimensional Josephson junctions rhombi chains. We have measured the current phase relation of a chain of 8 rhombi. The junctions are either in the classical phase regime with the Josephson energy much larger than the charging energy, $E_J\gg E_C$, or in the quantum phase regime where $E_J/E_C\approx 2$. In the strong Josephson coupling regime ($E_J\gg E_C\gg k_{B}T$) we observe a sawtooth-like supercurrent as a function of the phase difference over the chain. The period of the supercurrent oscillations changes abruptly from one flux quantum ${\Phi }_0$ to half the flux quantum ${\Phi }_0/2$ as the rhombi are tuned in the vicinity of full frustration. The main observed features can be understood from the complex energy ground state of the chain. For $E_J/E_C\approx 2$ we do observe a dramatic suppression and rounding of the switching current dependence which we found to be consistent with the model developed by Matveev et al.(Phys. Rev. Lett. {\bf 89}, 096802(2002)) for long Josephson junctions chains.

to appear in Phys. Rev. B

References in corpus (9)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Aharonov-Bohm cages in two-dimensional structures
• Persistent current in superconducting nanorings
• Pairing of Cooper Pairs in a Fully Frustrated Josephson Junction Chain
• Possible realization of an ideal quantum computer in Josephson junction array
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Evidence of two-dimensional macroscopic quantum tunneling of a current-biased DC-SQUID
• Theory of 4e versus 2e supercurrent in frustrated Josepshon-junction rhombi chain
• Coherent transport in Josephson-Junction rhombi chain with quenched disorder

Cited by in corpus (30)

• Superconducting Nanocircuits for Topologically Protected Qubits
• Gate-tunable Superconducting Diode Effect in a Three-terminal Josephson Device
• Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
• Preformed pairs in flat Bloch bands
• Measurement of the effect of quantum phase-slips in a Josephson Junction chain
• Protected Josephson Rhombi Chains
• Coherent control of interacting particles using dynamical and Aharonov-Bohm phases
• Charge-4e supercurrent in a two-dimensional InAs-Al superconductor-semiconductor heterostructure
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Symmetries and collective excitations in large superconducting circuits
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Multi-mode architectures for noise-resilient superconducting qubits
• Influence of different disorder types on Aharonov-Bohm caging in the diamond chain
• Realization of a two-channel Kondo model with Josephson junction networks
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Multi-mode superconducting circuits for realizing strongly coupled multi-qubit processor units
• Onset of phase diffusion in high kinetic inductance granular aluminum micro-SQUIDs
• The hybrid Josephson rhombus: A superconducting element with tailored current-phase relation
• Voltage-controlled synthesis of higher harmonics in hybrid Josephson junction circuits
• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Tunable Aharonov-Bohm-like cages for quantum walks
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• In-plane magnetic field vs. temperature phase diagram of a quasi-2D frustrated multiband superconductor
• Robustness of Aharonov-Bohm cages in quantum walks
• Viewing protected superconducting qubits through the lens of the cat qubit
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Flat and almost flat bands in the quasi-one-dimensional Josephson junction array
• Edge currents in frustrated Josephson junction ladders