Thermal conductivity of MgB$_{2}$ in the superconducting state

Details Thermal conductivity of MgB$_{2}$ in the superconducting state Thermal conductivity of MgB$_{2}$ in the superconducting state

2002-10-08

arxiv.org/abs/cond-mat/0210175v1

Phis. Rev. B 67 (2003) 064505

Physics

Condensed Matter

Superconductivity

12 pages, 5 figures

Scientific paper

10.1103/PhysRevB.67.064505

We present thermal conductivity measurements on very pure and dense bulk samples, as indicated by residual resistivity values as low as 0.5 mW cm and thermal conductivity values higher than 200 W/mK. In the normal state we found that the Wiedemann Franz law, in its generalized form, works well suggesting that phonons do not contribute to the heat transport. The thermal conductivity in the superconducting state has been analysed by using a two-gap model. Thank to the large gap anisotropy we were able to evaluate quantitatively intraband scattering relaxation times of $\pi $ and $\sigma $ bands, which depend on the disorder in different way; namely, as the disorder increases, it reduces more effectively the relaxation times of $\pi $ than of $\sigma $ bands, as suggested by a recent calculation [1].

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