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Chin. Phys., 2004, Vol. 13(5): 737-745    DOI: 10.1088/1009-1963/13/5/028
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Simulating the time-dependent Ginzburg-Landau equations for type-II superconductors by finite-difference method

Liao Hong-Yin, Zhou Shi-Ping, Shi Xiao-Yun
Department of Physics, Shanghai University, Shanghai 200436, China
Abstract  This article presents numerical solutions of the periodic time-dependent Ginzburg-Landau model for the type-II superconductors by a finite-difference approximation. Both the static and dynamical properties of a single vortex are studied as the external magnetic field varies. Vortex and anti-vortex can coexist and annihilate with time in the case of no external magnetic field, while the vortex will approach a steady state in the presence of magnetic field. We also study vortex dynamical behaviours while pinning centres exist in the sample and find that the pinning site, which has a significant potential to keep the vortex from moving, may trap the vortex.
Keywords:  vortex dynamics      periodic time-dependent Ginzburg-Landau model      finite-difference approximation  
Received:  07 September 2003      Revised:  18 November 2003      Published:  06 July 2005
PACS:  02.70.Bf (Finite-difference methods)  
  74.20.De (Phenomenological theories (two-fluid, Ginzburg-Landau, etc.))  
  74.70.-b (Superconducting materials other than cuprates)  
  74.25.Op (Mixed states, critical fields, and surface sheaths)  
  74.25.Qt  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60371033) and partly by Shanghai Leading Academic Discipline Program, China.

Cite this article: 

Liao Hong-Yin, Zhou Shi-Ping, Shi Xiao-Yun Simulating the time-dependent Ginzburg-Landau equations for type-II superconductors by finite-difference method 2004 Chin. Phys. 13 737

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