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9 - Superconductors

from Part II - Applications

Published online by Cambridge University Press:  01 May 2025

Antoni Planes
Affiliation:
University of Barcelona
Avadh Saxena
Affiliation:
Los Alamos National Laboratory
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Summary

Superconductivity is a quantum state of matter that occurs through a phase transition driven by thermal fluctuations. In this state, materials show ideal electric conductivity and ideal diamagnetism to a very good approximation. Two main classes of superconductors, type I and type II, can be distinguished with regards to flux penetration under an applied magnetic field. The properties of these two types are first discussed in detail. Next, the Ginzburg–Landau theory is developed and it is shown that in the presence of a magnetic field, when the ratio of penetration and coherence lengths is smaller than 1⁄√2 the superconductor behaves as type I, while it behaves as type II when this ratio is larger than 1⁄√2. In this second case, the flux penetrates through vortices that form a hexagonal lattice. Finally, in the last part, the microscopic BCS theory is discussed in order to provide an understanding of the physical origin of superconductivity.

Type
Chapter
Information
Phase Transitions
A Materials Perspective
, pp. 300 - 331
Publisher: Cambridge University Press
Print publication year: 2025

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  • Superconductors
  • Antoni Planes, University of Barcelona, Avadh Saxena, Los Alamos National Laboratory
  • Book: Phase Transitions
  • Online publication: 01 May 2025
  • Chapter DOI: https://doi.org/10.1017/9781009549776.011
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  • Superconductors
  • Antoni Planes, University of Barcelona, Avadh Saxena, Los Alamos National Laboratory
  • Book: Phase Transitions
  • Online publication: 01 May 2025
  • Chapter DOI: https://doi.org/10.1017/9781009549776.011
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Superconductors
  • Antoni Planes, University of Barcelona, Avadh Saxena, Los Alamos National Laboratory
  • Book: Phase Transitions
  • Online publication: 01 May 2025
  • Chapter DOI: https://doi.org/10.1017/9781009549776.011
Available formats
×