Coherent diffraction of thermal currents in long Josephson tunnel junctions

Abstract

We discuss heat transport in thermally-biased long Josephson tunnel junctions in the presence of an in-plane magnetic field. In full analogy with the Josephson critical current, the phase-dependent component of the heat current through the junction displays coherent diffraction. Thermal transport is analyzed as a function of both the length and the damping of the junction, highlighting deviations from the standard Fraunhofer pattern characteristic of short junctions. The heat current diffraction patterns show features strongly related to the formation and penetration of Josephson vortices, i.e. solitons. We show that a dynamical treatment of the system is crucial for the realistic description of the Josephson junction and it leads to peculiar results. In fact, hysteretic behaviors in the diffraction patterns when the field is swept up and down are observed, corresponding to the trapping of vortices in the junction.

9 pages, 7 figures

References in corpus (13)

• Memory effects in complex materials and nanoscale systems
• The Josephson heat interferometer
• Rectification of electronic heat current by a hybrid thermal diode
• Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources
• Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
• Phase Modulated Thermal Conductance of Josephson Weak Links
• Negative differential thermal conductance and heat amplification in superconducting hybrid devices
• A normal metal tunnel-junction heat diode
• Heat transport through a Josephson junction
• Manipulation and Generation of Supercurrent in Out-of-Equilibrium Josephson Tunnel Nanojunctions
• Static Solitons of the Sine-Gordon Equation and Equilibrium Vortex Structure in Josephson Junctions
• Normal metal tunnel junction-based superconducting quantum interference proximity transistor: the N-SQUIPT
• Photonic heat conduction in Josephson-coupled Bardeen-Cooper-Schrieffer superconductors

Cited by in corpus (20)

• Voltage drop across Josephson junctions for Lévy noise detection
• Josephson-Threshold Calorimeter
• Lévy noise effects on Josephson junctions
• Phase-dependent heat and charge transport through superconductor-quantum dot hybrids
• Solitonic Josephson-based meminductive systems
• Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction
• Non-linear critical current thermal response of an asymmetric Josephson tunnel junction
• Phase-coherent solitonic Josephson heat oscillator
• Solitonic Josephson thermal transport
• Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
• rf-SQUID measurements of anomalous Josephson effect
• Solitonic thermal transport in a current biased long Josephson junction
• Switching current distributions in ferromagnetic anomalous Josephson junctions
• Heat-transfer fingerprint of Josephson breathers
• ${\theta }_0$ thermal Josephson junction
• Thermal flux-flow regime in long Josephson tunnel junctions
• Cyclic Superconducting Quantum Refrigerators Using Guided Fluxon Propagation
• The impact of thermal noise on kink propagation through a heterogeneous system
• Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches
• Phase-dependent heat current of granular Josephson junction for different geometries