Microscopic derivation of magnetic-flux-density profiles, magnetization hysteresis loops, and critical currents in strongly pinned superconductors
C. Reichhardt, C. J. Olson, J. Groth, Stuart Field, Franco Nori
DOI 10.1103/PhysRevB.52.10441 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
We present a microscopic derivation, without electrodynamical assumptions, of B(x,y,H(t)), M(H(t)), and Jc(H(t)), in agreement with experiments on strongly pinned superconductors, for a range of values of the density and strength of the pinning sites. We numerically solve the overdamped equations of motion of these flux-gradient-driven vortices which can be temporarily trapped at pinning centers. The field is increased (decreased) by the addition (removal) of flux lines at the sample boundary, and complete hysteresis loops can be achieved by using flux lines with opposite orientation. The pinning force per unit volume we obtain for strongly pinned vortices, JcB∼npfp1.6, interpolates between the following two extreme situations: very strongly pinned independent vortices, where JcB∼nPfp, and the two-dimensional Larkin-Ovchinikov collective-pinning theory for weakly pinned straight vortices, where JcB∼nPfp2. Here, np and fp are the density and maximum force of the pinning sites.
Similar papers
Microscopic Derivation of Magnetic Flux Density Profiles, Magnetization Hysteresis Loops, and Critical Currents in Strongly Pinned Superconductors
similarity 0.93C. Reichhardt et al. · 1995 · arXiv:cond-mat/9509037
Source status unknown — claims are unverified
Dynamical Aspects of Strong Pinning of Magnetic Vortices in Type-II Superconductors
similarity 0.91A. U. Thomann et al.
Source status unknown — claims are unverified
Strong pinning theory of thermal vortex creep in type II superconductors
similarity 0.91Martin Buchacek et al. · 2019 · arXiv:1903.09083
Source status unknown — claims are unverified
Vortex pinning by large normal particles in high-Tc superconductors
similarity 0.90V. Zablotskii et al.
Source status unknown — claims are unverified
Vortex dynamics in type-II superconductors under strong pinning conditions
similarity 0.90A. U. Thomann et al.
Source status unknown — claims are unverified
Dynamic Phases of Vortices in Superconductors with Periodic Pinning
similarity 0.90C. Reichhardt et al. · 1997 · arXiv:cond-mat/9703021
Source status unknown — claims are unverified