Surface impedance anisotropy of YBa$_2$Cu$_3$O$_{6.95}$ single crystals: electrodynamic basis of the measurements

Physics – Condensed Matter – Superconductivity

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9 pages, 7 figures. Submitted to Phys.Rev.B 05Jun2002; accepted for publication 21Febr2003

Scientific paper

10.1103/PhysRevB.67.144504

An electrodynamic technique is developed for determining the components of surface impedance and complex conductivity tensors of HTSC single crystals on the basis of measured quantities of a quality factor and a resonator frequency shift. A simple formula is obtained for a geometrical factor of a crystal in the form of a plate with dimensions $b\gg a>c$ in a microwave magnetic field ${\bf H_{\omega}}\perp ab$. To obtain the c-axis complex conductivity from measurements at ${\bf H_{\omega}}\parallel ab$ we propose a procedure which takes account of sample size effects. With the aid of the technique involved temperature dependences of all impedance and conductivity tensors components of YBa$_2$Cu$_3$O$_{6.95}$ single crystal, grown in BaZrO$_3$ crucible, are determined at a frequency of $f=9.4$ GHz in its normal and superconducting states. All of them proved to be linear at $T

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