Research Article
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Year 2024, , 94 - 99, 30.12.2024
https://doi.org/10.26650/PAR.2024.00010

Abstract

References

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Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material

Year 2024, , 94 - 99, 30.12.2024
https://doi.org/10.26650/PAR.2024.00010

Abstract

This study introduces a fundamental transfer matrix formalism for superconductors. The transfer matrix is constructed by solving Maxwell’s equations under the TM (Transfer Magnetic) mode configuration and including boundary conditions at the interface of the superconductors. This matrix enables an investigation of the scattering properties of electromagnetic wave interacting with superconducting surfaces. Then, reflection coefficient (𝑅) and transmission coefficient (𝑇) are derived from elements of the transfer matrix. This formalism provides a basis for understanding the interaction of electromagnetic waves with the surface of superconductors for advanced studies such as coherent perfect absorption (CPA), spectral singularities, and PT symmetry. The results highlight the influence of the London penetration depth on the reflection coefficient (𝑅), the transmission coefficient (𝑇) and transfer matrix. Additionally, surface currents resulting from TM mode configuration and Meissner effect, are also expressed in terms of the London penetration depth. In this context, we establish a foundation for studying the potential applications of superconductors.

References

  • London F., 1964, Superfluids. No. 2. c. in Structure of Matter Series, Dover Publications, https://books.google.com.tr/books? id=fK4PAQAAMAAJ google scholar
  • Mostafazadeh A., 2009, Phys. Rev. A, 80, 032711 google scholar
  • Mostafazadeh A., Sarısaman M., 2015, Phys. Rev. A, 91, 043804 google scholar
  • Oktay G., Sarısaman M., Tas M., 2020, Scientific Reports, 10, 3127 google scholar
  • Saif A. G., 1992, Physica Status Solidi B Basic Research, 171, 199 google scholar
  • SarısamanM.,TaşM.,2018,Journal of the Optical Society of America B Optical Physics, 35, 2423 google scholar
  • SarısamanM.,TaşM.,2019a,JournalofAppliedPhysics,126,163102 google scholar
  • Sarısaman M., Taş M., 2019b, Annals of Physics, 401, 139 google scholar
  • Sarısaman M., Taşdemir S., Rostamzadeh S., 2024, Journal of Physics Condensed Matter, 36, 405603 google scholar
  • Schmidt V. V., 2013, The Physics of Superconductors: Introduction to Fundamentals and Applications. Springer Science & Business Media google scholar
  • Tinkham M., 1974, Reviews of Modern Physics, 46, 587 google scholar
  • Tinkham M., Lobb C., 1989, in , Vol. 42, Solid state physics. Elsevier, pp 91–134 google scholar
There are 12 citations in total.

Details

Primary Language English
Subjects Classical Physics (Other)
Journal Section Research Articles
Authors

Şevval Taşdemir 0000-0002-4106-7872

Publication Date December 30, 2024
Submission Date October 30, 2024
Acceptance Date December 17, 2024
Published in Issue Year 2024

Cite

APA Taşdemir, Ş. (2024). Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material. Physics and Astronomy Reports, 2(2), 94-99. https://doi.org/10.26650/PAR.2024.00010
AMA Taşdemir Ş. Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material. Physics and Astronomy Reports. December 2024;2(2):94-99. doi:10.26650/PAR.2024.00010
Chicago Taşdemir, Şevval. “Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material”. Physics and Astronomy Reports 2, no. 2 (December 2024): 94-99. https://doi.org/10.26650/PAR.2024.00010.
EndNote Taşdemir Ş (December 1, 2024) Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material. Physics and Astronomy Reports 2 2 94–99.
IEEE Ş. Taşdemir, “Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material”, Physics and Astronomy Reports, vol. 2, no. 2, pp. 94–99, 2024, doi: 10.26650/PAR.2024.00010.
ISNAD Taşdemir, Şevval. “Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material”. Physics and Astronomy Reports 2/2 (December 2024), 94-99. https://doi.org/10.26650/PAR.2024.00010.
JAMA Taşdemir Ş. Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material. Physics and Astronomy Reports. 2024;2:94–99.
MLA Taşdemir, Şevval. “Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material”. Physics and Astronomy Reports, vol. 2, no. 2, 2024, pp. 94-99, doi:10.26650/PAR.2024.00010.
Vancouver Taşdemir Ş. Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material. Physics and Astronomy Reports. 2024;2(2):94-9.