Specific heat and thermal conductivity in the mixed state of MgB2
L. Tewordt, D. Fay
Abstract
The specific heat C and the electronic and phononic thermal conductivities kappae and kappaph are calculated in the mixed state for magnetic fields H near Hc2. The effects of supercurrent flow and Andreev scattering of the Abrikosov vortex lattice on the quasiparticles are taken into account. The resulting function C(H) is nearly linear while kappae(H) exhibits an upward curvature near Hc2. The slopes decrease with impurity scattering which improves the agreement with the data on MgB2. The ratio of phonon relaxation times taun/taus = g(omega0,H) for phonon energy omega0, which is nearly a step function at omega0 = 2Delta for the BCS state, is smeared out and tends to one for increasing H. This leads to a rapid reduction of kappaph(H) in MgB2 for relatively small fields due to the rapid suppression of the smaller energy gap.
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