NDLI: The Influence of Ca Content on the Current Density of the Superconducting Y$_{1−x}$Ca$_{ x }$Ba$_{2}$Cu$_{3}$O$

Content Provider	Springer Nature Link
Author	Mustafa, Bassam M. Rostam, Abbas H.
Copyright Year	2014
Abstract	In this research, we study the effect of Ca content on charge transfer mechanism of YBa$_{2}$CU$_{3}$O$_{7−δ }$ compound, for composition Y$_{1−x}$Ca$_{ x }$Ba$_{2}$Cu$_{3}$O$_{7−δ}$ (x=0, 0.05, 0.1, 0.2). Substitution of Ca changes the charge content, and as a result, potential energy changes; this will lead to structural changes (positions of ions and distances between them); this also leads to variations in Cu $_{2}$–O $_{3}$ and Cu $_{2}$–O $_{2}$ bond lengths and the effective coordination of Cu $_{2}$ with respect to oxygen ions. Starting from zero Ca content, the positions and distances for all ions in the crystal were calculated for all Ca concentrations. Moreover, the charge transfer mechanism from CuO chains to CuO $_{2}$ planes was studied and also the effective hole-doping dependences P(x) on bond valence sum. The hole concentration, energy gap, and current density, in Y$_{1−x}$Ca$_{ x }$Ba$_{2}$Cu$_{3}$O$_{7−δ}$ (where x=0.1 to x=0.2) have been calculated, assuming that the net doping of CuO $_{2}$ layers is the sum of contributions from CuO chains and from substitution of Y $^{3+}$ by Ca $^{2+}$. Applying the concept of bond valence sum model for the calculation of the hole concentration in the CuO $_{2}$ plane. The model proposed assumes that the oxygen valence sum and Cu(2) valence sum influence the hole concentration in the CuO $_{2}$ plane and as a result on the hole conduction in the crystal. These p(x) dependences are combined with universal (parabolic) phase relation Tc(p). Thus, current density may be calculated considering the Ca concentration effect according to one of the following equations: $$\begin{array}{@{}rcl@{}} J=2.22e~\ast~\sqrt{\frac{E_{\mathrm{g}}}{m}}\langle 0.16 + 0.11 \sqrt{1-\frac{T_{c}}{T_{c \max}}\rangle},\\ J=2.22\ast\,e\, \sqrt{\frac{E_{g}}{m}}\langle 0.16 + \frac{n_{\text{Ca}}}{\mathrm{2}}-(7-\delta)\rangle \end{array} $$ Here, T $_{c}$ and E $_{g}$ were calculated as a function of Ca content.
Starting Page	545
Ending Page	552
Page Count	8
File Format	PDF
ISSN	15571939
Journal	Journal of Superconductivity and Novel Magnetism
Volume Number	28
Issue Number	2
e-ISSN	15571947
Language	English
Publisher	Springer US
Publisher Date	2014-09-21
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Ca content in YBCO YBCO high-temperature superconductor Current density in HTSC Strongly Correlated Systems, Superconductivity Magnetism, Magnetic Materials Condensed Matter Physics Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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