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Title: Cutting of bent vortex lines

Abstract

One of the major problems in the application of type II superconductors is the appearance of resistivity in case where a current-carrying specimen is in a longitudinal magnetic field. This is explained by the onset of flux-line cutting events, followed by cross-joining of the line parts. The calculation given here shows the amount of repulsive force and energy between two curved vortex lines and examines the general stability of the vortex-vortex system. First, the actual interaction potential between curved vortices is computed. It includes all electromagnetic and core overlap terms of interactions and self-interaction, and allows computation of the system energy under all curved vortex-line configurations. A computer program is used to find the form of lowest free energy. To do this, special trial functions are established to describe the three-dimensional form of the vortex-vortex system. In these functions parameters determine the qualitative and quantitative form. The asymptotic boundary conditions are built into the nature of the trial functions. The computer program now minimizes the free energy with respect to these parameters. The resulting repulsive energy and force are more than ten times less than the known results for straight flux lines, especially for small asymptotic cutting angles. There ismore » no sharp maximum in the plot of repulsive force versus flux-line separation. A remarkable results is the loss of general stability below a separation distance of several London penetration depths, depending on the cutting angle and the Ginzburg-Landau parameter. The explanation lies in the local attraction of central sections of the vortices as a result of configurational adaption. This explains the onset of resistance at small currents and small magnetic fields.« less

Authors:
Publication Date:
Research Org.:
Department of Theoretical Physics, Johannes Kepler University, Linz, Austria
OSTI Identifier:
7058644
Resource Type:
Journal Article
Journal Name:
J. Low Temp. Phys.; (United States)
Additional Journal Information:
Journal Volume: 48:1
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; TYPE-II SUPERCONDUCTORS; MAGNETIC FLUX; BOUNDARY CONDITIONS; LONDON EQUATION; PENETRATION DEPTH; STABILITY; EQUATIONS; SUPERCONDUCTORS; 656101* - Solid State Physics- Superconductivity- General Theory- (-1987)

Citation Formats

Wagenleithner, P. Cutting of bent vortex lines. United States: N. p., 1982. Web. doi:10.1007/BF00681716.
Wagenleithner, P. Cutting of bent vortex lines. United States. https://doi.org/10.1007/BF00681716
Wagenleithner, P. 1982. "Cutting of bent vortex lines". United States. https://doi.org/10.1007/BF00681716.
@article{osti_7058644,
title = {Cutting of bent vortex lines},
author = {Wagenleithner, P},
abstractNote = {One of the major problems in the application of type II superconductors is the appearance of resistivity in case where a current-carrying specimen is in a longitudinal magnetic field. This is explained by the onset of flux-line cutting events, followed by cross-joining of the line parts. The calculation given here shows the amount of repulsive force and energy between two curved vortex lines and examines the general stability of the vortex-vortex system. First, the actual interaction potential between curved vortices is computed. It includes all electromagnetic and core overlap terms of interactions and self-interaction, and allows computation of the system energy under all curved vortex-line configurations. A computer program is used to find the form of lowest free energy. To do this, special trial functions are established to describe the three-dimensional form of the vortex-vortex system. In these functions parameters determine the qualitative and quantitative form. The asymptotic boundary conditions are built into the nature of the trial functions. The computer program now minimizes the free energy with respect to these parameters. The resulting repulsive energy and force are more than ten times less than the known results for straight flux lines, especially for small asymptotic cutting angles. There is no sharp maximum in the plot of repulsive force versus flux-line separation. A remarkable results is the loss of general stability below a separation distance of several London penetration depths, depending on the cutting angle and the Ginzburg-Landau parameter. The explanation lies in the local attraction of central sections of the vortices as a result of configurational adaption. This explains the onset of resistance at small currents and small magnetic fields.},
doi = {10.1007/BF00681716},
url = {https://www.osti.gov/biblio/7058644}, journal = {J. Low Temp. Phys.; (United States)},
number = ,
volume = 48:1,
place = {United States},
year = {Thu Jul 01 00:00:00 EDT 1982},
month = {Thu Jul 01 00:00:00 EDT 1982}
}