Inhomogeneous Ginzburg–Landau Parameter in a 2D Mesoscopic Superconductor

  • C. A. AguirreEmail author
  • H. B. Achic
  • J. Barba-Ortega


We study the behavior that the inclusion of zones with different Ginzburg–Landau parameters \(\kappa \) has on the magnetization, Cooper pair density, and \(H_{1}\), the magnetic field in which the first vortex penetration occurs, in a superconducting 2D square in the presence of an external applied magnetic field H. We report anomalous vortex configurations and an appreciable variation (no monotonic) of \(H_{1}\) due to the inhomogeneity of \(\kappa (x,y)\). The behavior of the superconducting state for different values of the \(\kappa \), along with its respective variations, has been studied by including different convergence ratios in the time-dependent equations of the Ginzburg–Landau model. In addition, the variation of the magnetic susceptibility \(\chi \) according to the applied magnetic field is shown, and how an understanding of the magnetic moment density \(\mu \) present in the sample can be established.


Ginzburg–Landau Magnetization Mesoscopics Superconductor 



C. A. Aguirre would like to thank the Brazilian Agency CAPES for financial support and the Ph.D. fellowship (Grant Number 089.229.701-89, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior). H. B. Achic thanks Facultad de Ciencias-UNI, Lima-Peru, for partial financial support.


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Authors and Affiliations

  1. 1.Departamento de FísicaUniversidad Federal de Mato-GrossoCuiabáBrazil
  2. 2.Facultad de CienciasUniversidad Nacional de IngenieríaLimaPeru
  3. 3.Departamento de FísicaUniversidad Nacional de ColombiaBogotáColombia

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