Anisotropy and Penetration Depth of MgB$_{2}$ from ${}^{11}$B NMR

Details Anisotropy and Penetration Depth of MgB$_{2}$ from ${}^{11}$B NMR Anisotropy and Penetration Depth of MgB$_{2}$ from ${}^{11}$B NMR

2006-11-17

arxiv.org/abs/cond-mat/0611473v2

New Journal of Physics,Vol. 8, P. 274, 2006

Physics

Condensed Matter

Superconductivity

10 pages, 7 figures

Scientific paper

10.1088/1367-2630/8/11/274

The ${}^{11}$B NMR spectra in polycrystalline MgB$_2$ were measured for several magnetic fields (1.97 T and 3.15 T) as a function of temperature from 5 K to 40 K. The composite spectra in the superconducting state can be understood in terms of anisotropy of the upper critical field, $\gamma_{H}$, which is determined to be 5.4 at low temperature. Using Brandt's algorithm\cite{Brandt} the full spectrum, including satellites, was simulated for the temperature 8 K and a magnetic field of 1.97 T. The penetration depth $\lambda$ was determined to be $1,152\pm50$ {\AA}, and the anisotropy of the penetration depth, $\gamma_{\lambda}$, was estimated to be close to one at low temperature. Therefore, our findings establish that there are two different anisotropies for upper critical field and penetration depth at low temperatures.

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