Abstract
We studied the (magnetic field-temperature) phase diagram, the resistive state, and the vortex configurations of a rectangular superconducting loop, under an electrical transport current J, and an external applied magnetic field H. We show that the critical current density in the I − V characteristic curve Jc1, at which the first vortex–antivortex (V-Av) pair nucleates in the sample, as well as the number of jumps in the I − V curve (i.e., different resistive states), strongly depends on the temperature of the sample and the spatial variation of critical temperature in the sample.
Similar content being viewed by others
References
Qin, S., Kim, J., Niu, Q., Shih, C.: . Science 324, 1314 (2009). https://doi.org/10.1126/science.1170775
Kozuka, Y., Kim, M., Bell, C., Kim, B. G., Hikita, Y., Hwang, H. Y.: . Nature 462, 487 (2009). https://doi.org/10.1038/srep09711
Swithenby, S. J.: . Phys. Technol. 18, 17 (1987). https://doi.org/10.1088/0305-4624/18/1/I02
Clarke, J.: . IEEE Transactions on Magnetic 19, 288 (1983). https://doi.org/10.1109/TMAG.1983.1062524
Anders, S., Blamire, M. G., Buchholz, F., Crete, D. G., Cristiano, R., Febvre, P., Fritzsch, L., Herr, A., ILichev, E., Kohlmann, J., Kunert, J., Meyer, H. G., Niemeyer, J., Ortlepp, T., Rogalla, H., Schurig, T., Siegel, M., Stolz, R., Tarte, E., Brake, H. J., Toepfer, H., Villegier, J. C., Zagoskin, A., Zorin, A. B.: . Phys. C 470, 2079 (2010). https://doi.org/10.1016/j.physc.2010.07.005
Coombs, T.: . Materials 13, 4652 (2020). https://doi.org/10.3390/ma13204652
Sardella, E., Malvezzi, A. L., Lisboa-Filho, P. N., Ortiz, W.A.: . Phys. Rev. B 74, 014512 (2006). https://doi.org/10.1103/PhysRevB.74.014512B.74.014512
Vagov, A. V., Shanenko, A. A., Milošević, M. V., Peeters, F. M., Vagov, A. V.: . Phys. Rev. Lett. 106, 047005 (2011). https://doi.org/10.1103/PhysRevLett.106.047005
Silaev, M., Babaev, E.: . Phys. Rev. B 85, 134514 (2012). https://doi.org/10.1103/PhysRevB.85.134514
Vagov, A. V., Shanenko, A. A., Milošević, M.V., Axt, V. M., Peeters, F. M.: . Phys. Rev. B 86, 144514 (2012). https://doi.org/10.1103/PhysRevB.86.144514
Orlova, N. V., Shanenko, A. A., Milošević, M.V., Peeters, F. M., Vagov, A. V., Axt, V. M.: . Phys. Rev. B 87, 134510 (2013). https://doi.org/10.1103/PhysRevB.87.134510
Kanda, A., Baelus, B. J., Peeters, F. M., Kadowaki, K., Ootuka, Y.: . Phys. Rev. Lett. 93, 257002 (2004). https://doi.org/10.1103/PhysRevLett.93.257002
Baelus, B.J., Kanda, A., Shimizu, N., Tadano, K., Ootuka, Y., Kadowaki, K., Peeters, F. M.: . Phys. Rev. B 73, 024514 (2006). https://doi.org/10.1103/PhysRevB.73.024514
Morelle, M., Bekaert, J., Moshchalkov, M. V.: . Phys. Rev. B 70, 094503 (2004). https://doi.org/10.1103/PhysRevB.70.094503
Okayasu, S., Nishio, T., Hata, Y., Suzuki, J., Kakeya, I., Kadowaki, K., Moshchalkov, M. V.: . IEEE Transactions on applied Superconductivity 15, 696 (2005). https://doi.org/10.1109/TASC.2005.850006
Moshchalkov, V. V., Gielen, L., Dhalle, M., Van Haesendonck, C., Bruynseraede, Y.: . Nature 361, 617 (1993). https://doi.org/10.1038/361617a0
Sochnikov, I., Shaulov, A., Yeshurun, Y., Logvenov, G., Bozovic, I.: . Nat. Nanotechnol. 5, 516 (2010). https://doi.org/10.1038/nnano.2010.111
Bagani, K., Sarkar, J., Uri, A., Rappaport, M. L., Huber, M. E., Zeldov, E., Myasoedov, Y.: . Phys. Rev. B 12, 044062 (2019). https://doi.org/10.1103/PhysRevApplied.12.044062
Berdiyorov, G. R., Yu, S. H., Xiao, Z. L., Peeters, F. M., Hua, J., Imre, A., Kwok, W.K.: . Phys. Rev. B 80, 064511 (2009). https://doi.org/10.1103/PhysRevB.80.064511
Berdiyorov, G. R., Milošević, M.V., Latimer, M. L., Xiao, Z. L., Kwok, W. K., Peeters, F. M.: . Phys. Rev. Lett. 109, 057004 (2012). https://doi.org/10.1103/PhysRevLett.109.057004
Berdiyorov, G. R., Milošević, M.V., Peeters, F. M.: . Phys. Rev. Lett. 81, 057004 (2010). https://doi.org/10.1103/PhysRevLett.96.207001
Rogeri, F., Zadorosny, R., Lisboa-Filho, P. N., Sardella, E., Ortiz, W. A.: . Supercond. Sci. Technol. 26, 075005 (2013). https://doi.org/10.1088/0953-2048/26/7/075005
Barba-Ortega, J., Joya, M. R., Sardella, E.: . Eur. Phys. J B. 92, 143 (2019). https://doi.org/10.1140/epjb/e2019-100082
Barba-Ortega, J., Zadorosny, R., Sardella, E.: . Phys. Lett. A 382, 215 (2018). https://doi.org/10.1016/j.physleta.2017.11.010
Embon, L., Anahory, Y., Jelic, Z. L., Lachman, E. O., Myasoedov, Y., Huber, M. E., Mikitik, G. P., Silhanek, A. V., Milošević, M.V., Gurevich, A., Zeldov, E.: . Natt. Comm. 8, 85 (2017). https://doi.org/10.1038/s41467-017-00089-3
Jelic, Z. L., Milošević, M.V., Silhanek, A. V.: . Sci. Rep. 8, 35687 (2016). https://doi.org/10.1038/srep35687
Jelic, Z. L., Milošević, M.V., Van de Vondel, J., Silhanek, A. V.: . Sci. Rep. 5, 14604 (2015). https://doi.org/10.1038/srep14604
León, J. S., Joya, M. R., Barba-Ortega, J.: . Optik 172, 311 (2018). https://doi.org/10.1016/j.ijleo.2018.07.036
González, J. D., Beltrán, J. R., Barba-Ortega, J.: . Optik 158, 806 (2018). https://doi.org/10.1016/j.ijleo.2017.12.204
Milošević, M. V., Geurts, R.: . Physica C 470, 791 (2010). https://doi.org/10.1016/j.physc.2010.02.056
Hernández, A. D., Domínguez, D.: . Phys. Rev. B 71, 44529 (2005). https://doi.org/10.1103/PhysRevB.71.214524
Aguirre, C. A., Martins, Q., Barba-Ortega, J.: . Revista UIS Ingenierías 18, 213 (2019). https://doi.org/10.18273/revuin.v18n2-2019020
Aguirre, C. A., Joya, M. R., Barba-Ortega, J.: . Revista UIS Ingenierí,as 19, 109 (2020). https://doi.org/10.18273/revuin.v20n12021014
Kramer, L., R. J. Watts-Tobin: . Phys. Rev. Lett. 40, 1041 (1978). https://doi.org/10.1103/PhysRevLett.40.1041
Watts-Tobin, J., Krähenbühl, Y., Kramer, L.: . J. Low. Temp. Phys. 42, 459 (1981). https://doi.org/10.1007/BF00117427
Gubin, A. I., Llin, K. S., Vitusevich, S. A., Siegel, M., Klein, N.: . Phys. Rev. B 72, 064503 (2005). https://doi.org/10.1103/PhysRevB.72.064503
Berdiyorov, G., Harrabi, K., Maneval, J. P., Peeters, F. M.: . Supercond. Sci. Technol. 28, 025004 (2015). https://doi.org/10.1088/0953-2048/28/2/025004
Gropp, W. D., Kaper, H. G., Leaf, G. K., Levine, D. M., Palumbo, M., Vinokur, V. M.: . J. Comput. Phys. 123, 254 (1996). https://doi.org/10.1006/jcph.1996.0022
Berdiyorov, G. R., Baelus, B. J., Milošević, M.V., Peeters, F. M.: . Phys. Rev. B 68, 174521 (2003). https://doi.org/10.1103/PhysRevB.68.174521
Buscaglia, G. C., Bolech, C., López, A. In: Berger, J., Rubinstein, J. (eds.) : Connectivity and superconductivity. Springer, Berlin (2000)
Little, W. A., Parks, R. D.: . Phys. Rev. Lett. 9, 9 (1962). https://doi.org/10.1103/PhysRevLett.9.9
Silhanek, A. V., Milošević, M.V., Kramer, R.B.G., Berdiyorov, G.R., Van de Vondel, J., Luccas, R. F., Puig, T., Peeters, F. M., Moshchalkov, V. V.: . Phys. Rev. Lett. 104, 017001 (2010). https://doi.org/10.1103/PhysRevLett.104.017001
Bulaevskii, L. N., Graf, M. J., Kogan, V. G.: . V. G. Phys. Rev. B 85, 014505 (2012). https://doi.org/10.1103/PhysRevB.85.014505
Sivakov, A. G., Glukhov, A. M., Omelyanchouk, A. N., Koval, Y., Muller, P., Ustinov, A.V.: . Phys. Rev. Lett. 91, 267001 (2003). https://doi.org/10.1103/PhysRevLett.91.267001
Acknowledgements
C. A. Aguirre would like to thank the Brazilian agency CAPES support and the Ph.D fellowship. The authors thank Edson Sardella for very useful discussions.
Funding
C. A. Aguirre received financial support from the Brazilian agency CAPES.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Aguirre, C.A., Nunez, T. & Barba-Ortega, J. Vortex Matter in Heterothermal Superconducting Loops. J Supercond Nov Magn 34, 1091–1099 (2021). https://doi.org/10.1007/s10948-021-05817-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-021-05817-x