Abstract
<p>The translational symmetry of the distribution of atoms (ions) of the charge carriers (electrons or holes)<br />system is broken by sputtering (doping) due to the existence of two boundary surfaces. This is a model<br />of high-temperature superconductors in which the observed symmetry breaking orthogonal to the CuO<br />plane is treated as a perturbation. Single-particle fermion wave functions and possible charge carrier<br />energies were determined. The competing existence of superconducting and normal regions in such a<br />sample is shown in agreement with experimental data. The conditions for the formation of<br />superconducting states and the limits of the current density values in the planes parallel to the<br />boundary surfaces (in the CuO planes) were obtained and discussed.</p>
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