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Academy of Sciences and Arts of the Republic of Srpska Banja Luka, B&H , Banja Luka , Bosnia and Herzegovina
Faculty of Science, University of Banja Luka , Banja Luka , Bosnia and Herzegovina
The translational symmetry of the distribution of atoms (ions) of the charge carriers (electrons or
holes) system is broken by sputtering (doping),and due to the existence of two boundary surfaces.
This is a model of high-temperature superconductors in which the observed symmetry breaking
orthogonal to the CuO plane is treated as a perturbation. Single-particle fermion wave functions
and possible charge carrier energies were determined. The competing existence of superconducting
and normal regions in such a sample is shown in agreement with experimental data. The conditions
for the formation of superconducting states and the limits of the current density values in the planes
parallel to the boundary surfaces (in the CuO planes) were obtained and discussed
The research presented in this paper was financially supported by the Ministry of Scientific and Technological Development, Higher Education and Information Society of the Republic of Srpska (Projects No. 19.032/961-36/19 and 19.032/961-42/19).
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