Revista UIS Ingenierías

Vol. 23 No. 2 (2024): Revista UIS Ingenierías
Articles

Quantized magnetic flux in a two-band superconducting condensate with a type-Kagome pinning center lattice

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  • Cristhian Andres Aguirre,
  • Pablo Diaz ,
  • Jose Jose Barba-Ortega
Cristhian Andres Aguirre
Universidade Federal de Mato-Grosso
Pablo Diaz
Universidad de La Frontera
Jose Jose Barba-Ortega
Universidad Nacional de Colombia
DOI: https://doi.org/10.18273/revuin.v23n2-2024010

Published 2024-06-10

Keywords

  • Ginzburg-Landau,
  • Superconductor,
  • Type-II,
  • Shubnikov-state,
  • Vortices,
  • Kagome lattice
    • ...More
    Less

How to Cite

Aguirre, C. A. ., Diaz , P. ., & Barba-Ortega, J. J. . (2024). Quantized magnetic flux in a two-band superconducting condensate with a type-Kagome pinning center lattice. Revista UIS Ingenierías, 23(2), 159–166. https://doi.org/10.18273/revuin.v23n2-2024010

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Abstract

In this work we studied the vortex-configuration in a mesoscopic superconducting square in presence of an external magnetic field H applied parallel to its surface vector. We study the magnetization curves in a complete loop, the magnretic induction and the superconducting-electron density for the sample considering Neumann boundary conditions for the order parameter, via length Gennes extrapolation . The sample presents a pinnin center as a Kagome-type laticce at different critical temperature. We solve the generalized time-dependent Ginzburg-Landau equations for a two-condensate system using the Link-variable method considering a Field-Cooling process. Our results show that the vortices are always located at the pinning centers in non-conventional configurations, due to cuopling used.

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References

  1. J. Barba-Ortega, M. R. Joya, E. Sardella, “ Resistive state of a thin superconducting strip with an engineered central defect”, The European Physical Journal B, vol. 92, no. 143, 2019, doi: https://doi.org/10.1140/epjb/e2019-100082-y
  2. G. J. Kimmel, A. Glatz, V. M. Vinokur, I. A. Sadovskyy, “Edge effect pinning in mesoscopic superconducting strips with non-uniform distribution of defects,” Sci. Reports,vol. 9, no. 1, 2019, doi: https://doi.org/10.1038/s41598-018-36285-4
  3. V. V. Moshchalkov, L. Gielen, C. Strunk, R. Jonckheere, X. Qiu, C. Van Haesendonck and Y. Bruynseraede, “Effect of sample topology on the critical fields of mesoscopic superconductors,” Nature vol. 373, 1995, doi: https://doi.org/10.1038/373319a0
  4. C. Aguirre, M. R. Joya, J. Barba-Ortega, “Released power in a vortex-antivortex pairs annihilation process,” Revista UIS Ingenierias, vol. 20, no. 1, 2021, doi: https://doi.org/10.18273/revuin.v20n1-2021014
  5. C. Aguirre, M. R. Joya, J. Barba-Ortega, “Dimer structure as topological pinning center in a superconducting sample,” Revista UIS Ingenierias, vol. 20, no. 1, 2020, doi: https://doi.org/10.18273/revuin.v19n1-2020011
  6. J. Carlstrom, E. Babaev, M. Speight, “Type-1.5 superconductivity in multiband systems: Effects of interband couplings,” Phys. Rev. B., vol. 83, 2011, doi: https://doi.org/10.1103/PhysRevB.83.174509
  7. C. Aguirre, J. Faundez, J. Barba-Ortega, “Vortex state in a superconducting mesoscopic irregular octagon,” Mod. Phys. Lett. B., vol. 36, 10, 2022, doi: https://doi.org/10.1142/S0217984922500294
  8. C. Aguirre, M. R. Joya, J.Barba-Ortega, “Vortex state in a two-condensate superconducting film considering a topological coupling, ” Mod. Phys. Lett. B, vol 37, no. 38, 2023, doi: https://doi.org/10.1142/S021798492350001X
  9. C. Aguirre, A. de Arruda, J. Faundez, J. Barba-Ortega, “ZFC process in 2+1 and 3+1 multi-band superconductor,” Physica B: Condensed Matter, vol. 615, 2021, doi: https://doi.org/10.1016/j.physb.2021.413032
  10. J. Tindall, F. Schlawin, M. Buzzi, D. Nicoletti, J. R. Coulthard, H. Gao, A. Cavalleri, M. A. Sentef, D. Jaksch, “Dynamical Order and Superconductivity in a Frustrated Many-Body System,” Phys. Rev. Lett., vol. 125, 2020, doi: https://doi.org/10.1103/PhysRevLett.125.137001
  11. E. F. Galindez, J. A. Rojas, D. Sachez, D. A. Landinez, J. Roa, “Propiedades ópticas, eléctricas, estructurales y morfológicas de arcilla mineral KAl4Si2O12/Mg3Si2O9/Fe2O3 de la región montañosa de Machado, Tarairá, Colombia” Revista Ciencia en Desarrollo, vol. 13, no. 1, pp. 43-55, 2022, doi: https://doi.org/10.19053/01217488.v13.n1.2022.12884
  12. W. D. Gropp, H. G. Kaper, G. K. Leaf, D. M. Levine, M. Palumbo, V. M. Vinokur, “Numerical simulation of vortex dynamics in type-ii superconductors,” J. Comput. Phys., vol. 123, no. 2, 1996, doi: https://doi.org/10.1006/jcph.1996.0022
  13. G. Buscaglia, C. Bolech, C. Lopez, Connectivity and Superconductivity. Heidelberg: Springer, 2000, doi: https://doi.org/10.1007/3-540-44532-3
  14. P. G. de Gennes, Superconductivity in Metals and Alloys, Westview Pres, 1989. [Online]. Available: https://library.navoiy-uni.uz/files/gennes%20p.d.,%20pincus%20p.a.%20-%20superconductivity%20of%20metals%20and%20alloys%20(1999)(274s).pdf
  15. Z. P. Yin, K. Haule, G. Kotliar, “Fractional power-law behavior and its origin in iron-chalcogenide and ruthenate superconductors: Insights from first-principles calculations,” Phys. Rev. B, vol. 86, 2012, doi: https://doi.org/10.1103/PhysRevB.86.195141
  16. J. Clepkens, A. W. Lindquist, X. Liu, H. Kee, “Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr2RuO4,” Phys. Rev. B., vol. 104, 2021, doi: https://doi.org/10.1103/PhysRevB.104.104512
  17. S. Chaudhar, Shama, J. Singh, A. Consiglio, D. Di Sante, R. Thomale, Y. Singh, “Role of electronic correlations in the kagome-lattice superconductor LaRh3B2,” Phys. Rev. B., vol. 107, 2023, doi: https://doi.org/10.1103/PhysRevB.107.085103
  18. M. Shi, F. Yu, Y. Yang, F. Meng, B. Lei, Y. Luo, Z. Sun, J. He, R. Wang, Z. Jiang, Z. Liu, D. Shen, T. Wu, Z. Wang, Z. Xiang, J. Ying and X. Chen, “A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity,” Nature Communicatios, vol. 13, 2022, doi: https://doi.org/10.1038/s41467-022-30442-0
  19. H. Jiang, M. Liu, S. Yu, “Impact of the orbital current order on the superconducting properties of the kagome superconductors, ” Phys. Rev. B., vol. 107, 2023, doi: https://doi.org/10.1103/PhysRevB.107.064506
  20. F. Du, R. Li, S. Luo, Y. Gong, L. Yanchun, J. Sheng, R. B. ˙Ortiz, Y. Liu, X. Xu, S. D. Wilson, C. Cao, Y. Song, H. Yuan, “Superconductivity modulated by structural phase transitions in pressurized vanadium-based kagome metals,” Phys. Rev. B., vol. 106, 2022, doi: https://doi.org/10.1103/PhysRevB.106.024516
  21. S. Gazit, M. Randeria, A. Vishwanath, “Emergent Dirac fermions and broken symmetries in confined and deconfined phases of Z2 gauge theories,” Nature Physics, vol. 13, pp. 484-490, 2017, doi: https://doi.org/10.1038/nphys4028
  22. T. Neupert, M. Denner, J. Yin, R. Thomale M. Zahid Hasan, “Charge order and superconductivity in kagome materials,” Nature Physics,vol. 18, 2022, doi: https://doi.org/10.1038/s41567-021-01404-y
  23. K. Jiang, T. Wu, J. Yin, Z. Wang, M. Hasan, S. Wilson, X. Chen J. Hu, “Kagome superconductors AV3Sb5 (A = K, Rb, Cs),” National Science Review, vol. 10, 2023, doi: https://doi.org/10.1093/nsr/nwac199
  24. J. S. Leon. M. R. Joya and J. Barba-Ortega, “Kagome–Honeycomb structure produced using a wave laser in a conventional superconductor,” Optik- International Journal for Light and Electron Optics, vol. 172, pp. 311-316, 2018, doi: https://doi.org/10.1016/j.ijleo.2018.07.036
  25. R. Lou, A. Fedorov, Q. Yin, A. Kuibarov, Z. Tu, C. Gong, E. F. Schwier, B. Buchner, H. Lei, S. Borisenko, “Charge-Density-Wave-Induced Peak-Dip-Hump Structure and the Multiband Superconductivity in a Kagome Superconductor CsV3Sb5,” Phys. Rev. Lett., vol. 128, 2022, doi: https://doi.org/10.1103/PhysRevLett.128.036402
  26. S. J. Chapman, Q. Du, M. S. Gunzburger, Z. Angnew, “A model for variable thickness superconducting thin films,” Math. Phys., vol. 47, 1996, doi: https://doi.org/10.1007/BF00916647
  27. Q. Du. M. D. Gunzburger, J. S. Peterson, “Computational simulation of type-II superconductivity including pinning phenomena,” Phys. Rev. B., vol. 51, 1995, doi: https://doi.org/10.1103/PhysRevB.51.16194
  28. Q. Du, M.D. Gunzburger, “A model for superconducting thin films having variable thickness,” Physica D: Nonlinear Phenomena, vol. 69, 1993, doi: https://doi.org/10.1016/0167-2789(93)90089-J
  29. V. S. Souto E. C. S. Duarte, E. Sardella, R. Zadorosny, “Kinematic vortices induced by defects in gapless superconductors,” Phys. Lett. A., vol. 419, 2021, doi: https://doi.org/10.1016/j.physleta.2021.127742