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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Title:
CORRELATION BETWEEN CRYSTAL STRUCTURE AND RESISTIVITY OF HIGH-TEMPERATURE SUPERCONDUCTING CUPRATES
Creator:
H. P. Roeser ; Bohr, A. ; Haslam, D. T. ; J. S. Lόpez ; M. Stepper ; F. M. Hube ; A. S. Nikoghosyan
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Abstract:
The experimental resistivity of high-temperature superconducting (HTSC) cuprates at about Tc has been determined by many authors. For large devices the in-CuO2-plane resistivity has a range of ~0.5 < r(exp) < 1.5*10^-6 Ω m. Above Tc all HTSC materials behave like a classical device and the resistance depends on cross section and length of the device. Assuming a superconducting unit volume and a mode structure, which are given by the doping pattern throughout the whole crystal, the experimental resistivity values have been plotted versus ~LR/Nmode. A strong linear correlation in the form r(exp)=m3*(LR/Nmode)*(n4/n3)can be seen with a slope of m3=(13.39+_0.79)*10^3 Ω. LR is an effective resistivity length, Nmode is the number of CuO2 planes per unit cell, n3 is the number of Cu3+-ions per chemical formula and n4 is the number of different shifted stacking sequences per unit cell. The investigation has only been performed for a maximum of Nmode=4 modes. The value for m3 is very close to the fundamental resistance of a single-mode ballistic conductor Rsm=h/2e^2=12.906 Ω, which appears when size quantization plays a dominant role.