Hysteresis in superconducting short weak links and $\mu$-SQUIDs

Abstract

Thermal hysteresis in a micron-size Superconducting Quantum Interference Device ($\mu$-SQUID), with weak links as Josephson junctions, is an obstacle for improving its performance for magnetometery. Following the "hot-spot" model of Skocpol et al. [J. Appl. Phys. {\bf 45}, 4054 (1974)] and by incorporating the temperature dependence of thermal conductivity of superconductor using a linear approximation, we find a much better agreement with the observed temperature dependence of the retrapping current in short superconducting Nb-based weak links and $\mu$-SQUIDs. In addition, using the temperature dependence of the critical current, we find that above a certain temperature hysteresis disappears. We analyze the current-voltage characteristics and the weak link temperature variation in both the hysteretic and non-hysteretic regimes. We also discuss the effect of the weak link geometry in order to widen the temperature range of hysteresis-free operation.

arXiv comment11 pages, 12 figures

References in corpus (7)

• Signatures of Spin Glass Freezing in NiO Nanoparticles
• Observation of Persistent Currents in Mesoscopic Connected Rings
• Influence of high magnetic fields on superconducting transition of one-dimensional Nb and MoGe nanowires
• Proximity DC squids in the long junction limit
• Josephson junctions and superconducting quantum interference devices made by local oxidation of niobium ultrathin films
• Nonequilibrium transport in mesoscopic multi-terminal SNS Josephson junctions
• Origin of Hysteresis in a Proximity Josephson Junction

Cited by in corpus (25)

• Theory of single photon detection by 'dirty' current-carrying superconducting strip based on the kinetic equation approach
• Universal Model for the Turn-on Dynamics of Superconducting Nanowire Single-Photon Detectors
• Substrate mediated nitridation of niobium into superconducting Nb2N thin films for phase slip study
• Reversibility of Superconducting Nb Weak Links Driven by the Proximity Effect in a Quantum Interference Device
• Self-Heating Hotspots in Superconducting Nanowires Cooled by Phonon Black-Body Radiation
• MicroSQUIDs based on V/Cu/V Josephson nanojunctions
• Spontaneous emergence of Josephson junctions in homogeneous rings of single-crystal Sr2RuO4
• Tailoring phase slip events through magnetic doping in superconductor-ferromagnet composite films
• Existence of Shapiro Steps in the Dissipative Regime in Superconducting Weak Links
• Rise times of voltage pulses in NbN superconducting single-photon detectors
• Josephson Coupling in the Dissipative State of a Thermally Hysteretic $\mu$-SQUID
• Controlling hysteresis in superconducting constrictions with a resistive shunt
• Phonon heat capacity and self-heating normal domains in NbTiN nanostrips
• Nano-bridge Superconducting Quantum Interference Devices: beyond the Josephson limit
• Temperature and phase dynamics in superconducting weak-link
• Current detection using a Josephson parametric upconverter
• Micron size superconducting quantum interference devices of lead (Pb)
• Heating of quasiparticles driven by oscillations of the order parameter in short superconducting microbridges
• Accessing Phase Slip Events in Nb Meander Wires
• Diode effect in Shapiro steps in an asymmetric SQUID with a superconducting nanobridge
• High transparency induced superconductivity in field effect two-dimensional electron gases in undoped InAs/AlGaSb surface quantum wells
• The stationary SQUID
• Stability of thermally bistable states and their switching in superconducting weak link
• Topological defects in superconducting open nanotubes under gradual and abrupt switch-on of the transport current and magnetic field
• A thermal model with AC Josephson effect for a shunted superconducting weak-link