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Application of Bogoliubov-de Gennes equations to vortices in Hubbard superconductors

Published online by Cambridge University Press:  16 February 2015

Chumin Wang ,
César G. Galván  and
Luis A. Pérez
Chumin Wang
Affiliation:
Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, D.F., México
César G. Galván
Affiliation:
Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, D.F., México
Luis A. Pérez
Affiliation:
Instituto de Física, Universidad Nacional Autónoma de México, D.F., México
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Abstract

In this work, the formation of d-wave superconducting magnetic vortex is studied within the Bogoliubov-de Gennes formalism and the generalized Hubbard model, which leads to 2N2 coupled self-consistent equations for a supercell of N×N atoms. These equations determine the spatial variation of the superconducting gap as a function of the electron concentration and electron-electron interactions. The results show that the superconducting states induced by the correlated hopping (Δt3) are more sensitive to the presence of magnetic field than those induced by attractive nearest-neighbor interaction (V). Furthermore, we calculate the electronic specific heat as a function of the temperature for a given applied magnetic field, whose behavior has a qualitative agreement with experimental data.

Keywords

superconductingmagnetic propertiesspecific heat
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1753: Symposium NN – Mathematical and Computational Aspects of Materials Science , 2015 , mrsf14-1753-nn03-03
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Abrikosov, A.A, Rev. Mod. Phys. 76, 975–979 (2004).CrossRefGoogle Scholar
de Gennes, P. G., Superconductivity of metals and alloys (Addison-Wesley Pub. Co., New York, 1989).Google Scholar
Pérez, L. A., Millán, J. S., and Wang, C., Int. J. Mod. Phys. B 24, 5229 (2010).CrossRefGoogle Scholar
Dagotto, E., Riera, J., Chen, Y. C., Moreo, A., Nazarenko, A., Alcaraz, F., and Ortolani, F., Phys. Rev. B 49, 3548 (1994).CrossRefGoogle Scholar
Galván, C.G., Pérez, L.A., and Wang, C., Phys. Lett. A 376, 1380 (2012).CrossRefGoogle Scholar
Han, Q., Wang, Z.D., Zhang, L.-Y. and Li, X.-G., Phys. Rev. B 65, 064527 (2002).CrossRefGoogle Scholar
Wang, Y. and MacDonald, A.H., Phys. Rev. B 52, R3876–R3879 (1995).CrossRefGoogle ScholarPubMed
Tinkham, M., Introduction to Superconductivity, 2nd Edition (McGraw Hill, New York, 1996) pp. 64.Google Scholar
Wen, H.-H., et al. Phys. Rev. B 72, 134507 (2005).CrossRefGoogle Scholar