Effects of Columnar Pins on Flux Line Dynamics
Seungoh Ryu, A. Kapitulnik, S. Doniach

TL;DR
This paper investigates how columnar pins influence flux line behavior in high-temperature superconductors using Monte Carlo simulations, revealing scaling laws and self-similar depinning phenomena.
Contribution
It provides an analytic solution for a single flux line and introduces a diverging length scale to analyze depinning transitions in superconductors.
Findings
Distinct scaling behavior above and below depinning temperature
Introduction of a retrapping length for analyzing depinning transition
Analytic solution for single flux line case
Abstract
The effects of columnar pins on the flux lines in a model High-Tc superconductor in an applied field are studied through Monte Carlo simulations. An analytic solution for a single line case is obtained and compared with the simulation results. By introducing a tilted potential, we study simulated ``IV" characteristics and the results indicate a distinct scaling behavior above and below the depinning temperature. We introduce a diverging length scale measured in terms of a ``retrapping length'' to analyze self-similar behavior across the depinning transition.
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