Abstract
The magnetic susceptibility of a long mesoscopic superconducting square prism containing one/two (dot) anti-dots is calculated in the framework of the Ginzburg–Landau theoretical model. This magnetic susceptibility shows jumps at each of the vortex transition fields. We studied the influence of the number, size and geometry of the anti-dots on the magnetic susceptibility in a superconducting sample. We found interesting physical behavior when several kinds of materials filled into the anti-dot are considered.
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W.A. Little, R.D. Parks, Phys. Rev. Lett. 9, 9 (1962)
D.Y. Sharvin, Y.V. Sharvin, JETP Lett. 34, 272 (1981)
R.A. Webb, S. Washburn, C.P. Umbach, R.B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1985)
L.P. Levy, G. Dolan, J. Dunsmuir, H. Bouchiat, Phys. Rev. Lett. 64, 2074 (1990)
B. Bhushan, Springer Handbook of Nanotechnology (Springer, Berlin, 2004)
O. Bourgeois, S.E. Skipetrov, F. Ong, J. Chaussy, Phys. Rev. Lett. 94, 057007 (2005)
P. Singha Deo, J.P. Pekola, M. Manninen, Europhys. Lett. 50, 649 (2000)
W.C. Fon, K.C. Schwab, J.M. Worlock, M.L. Roukes, Nano Lett. 5, 1968 (2005)
F.R. Ong, O. Bourgeois, Eur. Phys. Lett. 79, 67003 (2007)
M. Berciu, T.G. Rappoport, B. Janko, Nature 435, 71 (2005)
C. Aguirre, J. Gonzalez, J. Barba-Ortega, J. Low Temp. Phys. 182, 51 (2016)
H.J. Finky, S.B. Haleyy, C.V. Giuraniucz, V.F. Kozhevnikovz, J.O. Indekeu, Mol. Phys. 103(21), 2969 (2005)
P.G. deGennes, Superconductivity of Metals and Alloys (Addison-Wesley, New York, 1994)
A.L. Fetter, P.C. Hohenberg, Superconductivity (Marcel Dekker, New York, 1969)
J.D. Patterson, B.C. Bailey, Solid-State Physics (Springer, Berlin, 2007)
B. Xu, M.V. Milosevic, F.M. Peeters, Phys. Rev. B 81, 064501 (2010)
K. Watanabe, T. Kita, M. Arai, Phys. Rev. B 71, 144515 (2005)
M.M. Doria, A.R. Romaguera, F.M. Peeters, Phys. Rev. B 75, 064505 (2007)
J. Barba-Ortega, E. Sardella, J. Albino Aguiar, Supercond. Sci. Technol. 24, 015001 (2011)
J. Barba-Ortega, J.D. González, E. Sardella, J. Low Temp. Phys. 177, 193 (2014)
G.R. Berdiyorov, M.V. Milosevic, B. Baelus, F.M. Peeters, Phys. Rev. B 70, 024508 (2004)
V.A. Schweigert, F.M. Peeters, P.S. Deo, Phys. Rev. B 57, 13817 (1998)
M. Tinkham, Introduction to Superconductivity, 2nd edn. (Dover Publication, New York, 1975)
M. Rainville, Ecuaciones Diferenciales, 8th edn. (Prenctice Hall Hispanoamerica, Ciudad de Mexico, 1997)
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The authors thanks to Edson Sardella for his useful discussions.
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Aguirre, C.A., Joya, M.R. & Barba-Ortega, J. Effect of Anti-dots on the Magnetic Susceptibility in a Superconducting Long Prism. J Low Temp Phys 186, 250–258 (2017). https://doi.org/10.1007/s10909-016-1695-5
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DOI: https://doi.org/10.1007/s10909-016-1695-5