Fractional Order Shapiro Steps in Superconducting Nanowires

Abstract

We expose superconducting nanowires to microwave radiation in order to study phase lock-in effects in quasi one dimensional superconductors. For sufficiently high microwave powers a resistive branch with Shapiro steps appears in the voltage-current characteristics. At frequencies in the range of 0.9-4 GHz these steps are of integer order only. At higher frequencies steps of 1/2, 1/3, 1/4 and even 1/6 order appear. We numerically model this behavior using a multi-valued current-phase relationship (CPR) for nanowires.

8 Pages plus 3 Figures and references. To appear in App. Phys. Lett

References in corpus (11)

• Quantum suppression of superconductivity in ultrathin nanowires
• Decoherence in Josephson Qubits from Junction Resonances
• Kinetic-inductance-limited reset time of superconducting nanowire photon counters
• Reply to the Comment on 'Quantum Phase Slips and Transport in Ultra-Thin Superconducting Wires'
• Phase-slip flux qubits
• Inherent stochasticity of superconductive-resistive switching in nanowires
• Microwave-induced thermal escape in Josephson junctions
• Determination of the Superconductor-Insulator Phase Diagram for One-Dimensional Wires
• Sharp Superconductor-Insulator Transition in Short Wires
• The Effect of Quantum Phase Slip Interactions on the Transport of Thin Superconducting Wires
• Quantum mechanics of superconducting nanowires

Cited by in corpus (19)

• Supercurrent interference in few-mode nanowire Josephson junctions
• π and 4π Josephson Effects Mediated by a Dirac Semimetal
• Dynamics of superconducting nanowires shunted with an external resistor
• The Multi-terminal Inverse AC Josephson Effect
• Current-phase Relationship, Thermal and Quantum Phase Slips in Superconducting Nanowires made on Scaffold Created using Adhesive Tape
• Dissipative superconductivity: a universal non-equilibrium state of nanowires
• Existence of Shapiro Steps in the Dissipative Regime in Superconducting Weak Links
• Farey sequence in the appearance of subharmonic Shapiro steps
• Limitations of the current-phase relation measurements by an asymmetric dc-SQUID
• Multivalued current-phase relationship in a.c. Josephson effect for a three-dimensional Weyl semimetal WTe${}_2$
• Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces
• Supercurrent, Multiple Andreev Reflections and Shapiro Steps in InAs Nanosheet Josephson Junctions
• Shapiro steps in strongly-interacting Fermi gases
• Phase locking and fractional Shapiro steps in collective dynamics of microparticles
• Unusual Superconducting Proximity Effect in Magnetically Doped Topological Josephson Junctions
• Complexity of Shapiro steps
• Diode effect in Shapiro steps in an asymmetric SQUID with a superconducting nanobridge
• Fractional ac Josephson effect as evidence of topological hinge states in a Dirac semimetal NiTe2
• The largest Lyapunov exponent as a tool for detecting relative changes in the particle positions