Dendritic and uniform flux jumps in superconducting films
arXiv:cond-mat/0508679 · doi:10.1103/PhysRevB.73.014512
Abstract
Recent theoretical analysis of spatially-nonuniform modes of the thermomagnetic instability in superconductors [Phys. Rev. B 70, 224502 (2004)] is generalized to the case of a thin film in a perpendicular applied field. We solve the thermal diffusion and Maxwell equations taking into account nonlocal electrodynamics in the film and its thermal coupling to the substrate. The instability is found to develop in a nonuniform, fingering pattern if the background electric field, E, is high and the heat transfer coefficient to the substrate, h0, is small. Otherwise, the instability develops in a uniform manner. We find the threshold magnetic field, H_fing(E,h0), the characteristic finger width, and the instability build-up time. Thin films are found to be much more unstable than bulk superconductors, and have a stronger tendency for formation of dendritic pattern.
13 pages, 7 figures
References in corpus (13)
- Experiments in vortex avalanches
- Dendritic magnetic instability in superconducting MgB2 films
- Dendritic flux avalanches and nonlocal electrodynamics in thin superconducting films
- Finger patterns produced by thermomagnetic instability in superconductors
- Dendritic flux patterns in MgB2 films
- Dendritic flux avalanches in superconducting Nb3Sn films
- Avalanche-driven fractal flux distributions in NbN superconducting films
- Dendritic flux penetration in Pb films with a periodic array of antidots
- Current-induced dendritic magnetic instability in superconducting MgB2 films
- Local threshold field for dendritic instability in superconducting MgB2 films
- Size of flux jumps in superconducting films
- On ultrafast magnetic flux dendrite propagation into thin superconducting films
- Interplay of dendritic avalanches and gradual flux penetration in superconducting MgB2 films
Cited by in corpus (24)
- Onset of dendritic flux avalanches in superconducting films
- Dynamics and morphology of dendritic flux avalanches in superconducting films
- Enhancement of pinning properties of superconducting thin films by graded pinning landscapes
- Dramatic role of critical current anisotropy on flux avalanches in MgB2 films
- Nonlocal electrodynamics of normal and superconducting films
- Nucleation and propagation of thermomagnetic avalanches in thin-film superconductors
- Collapse of the critical state in superconducting niobium
- Evidence of rf-driven branching of dendritic vortex avalanches in MgB2 microwave resonators
- First observation of flux avalanches in a-MoSi superconducting thin films
- Mechanism for flux guidance by micrometric antidot arrays in superconducting films
- Ray optics in flux avalanche propagation in superconducting films
- Oscillatory regimes of the thermomagnetic instability in superconducting films
- Modelling nonlocal electrodynamics in superconducting films: The case of a concave corner
- Flux Dendrites of Opposite Polarity in Superconducting MgB rings observed with magneto-optical imaging
- The thermomagnetic instability in superconducting films with adjacent metal layer
- Diversity of flux avalanche patterns in superconducting films
- Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
- Flux avalanches in Nb superconducting shifted strip arrays
- Impact of border defects on the magnetic flux penetration in superconducting films
- Dendritic flux avalanches in rectangular superconducting films -- numerical simulations
- Vortex pinning vs superconducting wire network: origin of periodic oscillations induced by applied magnetic fields in superconducting films with arrays of nanomagnets
- Active control of thermomagnetic avalanches in superconducting Nb films with tunable anisotropy
- Magnetic flux penetration in nanoscale wedge-shaped superconducting thin films
- Thermomagnetic instabilities in Nb films deposited on glass substrates