Equations analysis of linearized Ginzburg Landau

Authors

  • Daniel Augusto Castellanos Coronado Fundación Universitaria Juan de Castellanos
  • Edwin Javier Sánchez Uriza Fundación Universitaria Juan de Castellanos

DOI:

https://doi.org/10.38017/2390058X.127

Keywords:

magnetic field, Ginzburg Landau equation, Schrödinger equation, order parameter, transition temperature, vector potential.

Abstract

Landau Ginzburg Equations relate superconducting electron density with the applied magnetic field or the current. Therefore, one of the important aspects of the Ginzburg Landau theory is related to the treatment of mixed state and the intermediate state in the different classes of superconductors. This paper presents the study of the theoretical development of the solution of the equations of Landau Ginburg with the implementation of the terms and conditions of the energy, and the phenomenological parameters describe the relationship between the order parameter and vector potential by changes Landau Ginzburg parameters becomes similar to a Schrödinger equation for a free particle with a linear equation solution method. This equation is applied successfully in the study of the sample near the superconducting transition temperature either above or below it.

Author Biographies

Daniel Augusto Castellanos Coronado, Fundación Universitaria Juan de Castellanos

Grupo de Investigación GEATIC Facultad de Ingeniería Fundación Universitaria Juan de Castellanos

Edwin Javier Sánchez Uriza, Fundación Universitaria Juan de Castellanos

Grupo de Investigación GEATIC Facultad de Ingeniería Fundación Universitaria Juan de Castellanos

References

[1] O. Ortiz Díaz, J. Roa-Rojas, D. A. Landínez Téllez, J. Albino, "Estructura Cristalina del nuevo óxido tipo perovskita compleja Ba2NdZrO5", Revista Mexicana de Física, Vol. 53 No. 7. 2007. [On line]. Disponible en https://www.redalyc.org/pdf/570/57036163071.pdf

[2] Tinkham, Introduction to Superconductivity, New York, McGraw-Hill, 1975.

[3] H. Brandt, "High-Temperature Superconductor thin Films at Microwave Frequences", Rep. Progr. Phys. 58, 1995, pp. 1465- 1594 doi: https://doi.org/10.1007/BFb0111187

[4] H. Brandt and G. P. Mikitik, "Magneto-Optical Imaging", Phys. Rev. Lett., 85, 2000, pp. 41-64.

[5] W. Ung-Chun, Y. Tzong-Yer, "Current Distribution and Vortex-Vortex Interaction in a Superconducting Film of Finite Thickness Appl". Phys., 35, 1996, pp.56-96.

[6] E. H. Carneiro, "Scanning Hall Probe Microscopy of Superconductors in YBCO Brandt", Phys. Rev. 61, 2000, pp.63-70.

[7] R. Clem, "Physical Properties of High Temperature Superconductors", Phys. Rev., 43, 1991.

[8] H. Brandt, "The Vortex Lattice in Conventional and High – Tc Superconductors", Phys. Rev., 34, 1986. [On line]. Disponible en https://www.scielo.br/j/bjp/a/Y9QhHwhK4fPT47ZLCsJxn4J/?format=pdf&lang=en

[9] A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, "Methods of Quantum Field Theory in Statistical Physics", Englewood Cliffs, Prentice Hall, 1963.

[10] G. Kogan et al., "The vortex Lattice in High Tc Superconductors", Phys. Rev. Vol. 54, 1996.

[11] H. Brandt, U. Essmann, "Material Science, Fundamental Properties and some Future Electronic Applications", phys. stat. sol., Vol. 144, 1987.

[12] H. Brandt, "High – Tc Superconductors and Related Materials", Phys. Stat. Sol. B. Vol. 77, 1976.

[13] M. Babich, Yu. V. Sharlai, G. P. Mikitik, Fiz Nizk, "Statics and Dynamics of the Vortex Lattice in High Tc Superconductors", Low- Temp., Phys. Vol. 20, 1994. [On line]. Disponible en https://www.tifr.res.in/~ivw10/Presentations/Tutorials/8'th%20Jan/Brandt_Mumbai/some_publications/288prepr.pdf

[14] M. V. Blatter, V. B. Feigelman, A. I. Geshkenbein, V. M. Larkin, Superconductive Analog of spin glasses, 1987.

[15] Vinokur, "Frontiers in Superconducting Materials", Rev. Mod. Phys. Vol. 66, 1994.

[16] P. Mikitik, E. H. Brandt, "Nonlinear magnetization of metal films in weak magnetic fields, Phys". Rev., B 64, 2001, pp. 1-14.

[17] Labusch, T. B. Doyle, "Physics and Materials Vortex States, Physica C", Vol. 290, 1997.

[18] J. R. Hao, M. W. Clem, L. McElfresh, A. P. Civale, F. Malozemov, Holtzberg, "Physycs and Materials Science of vortex states, flux pinning and dynamics", Phys. Rev., B 43, 1991.

[19] R. Clem, "Current Distribution and Vortex Interaction in Superconductors, Low Temp.", Phys. Vol. 18, 1975.

How to Cite

Castellanos Coronado, D. A., & Sánchez Uriza, E. J. (2013). Equations analysis of linearized Ginzburg Landau. Science, Innovation and Technology Journal, 1, 99–103. https://doi.org/10.38017/2390058X.127

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Published

2013-11-25