Thermal conductivity in the vortex state of YBa2Cu3O7 and Sr2RuO4

Abstract

The thermal conductivity κ is calculated for the Abrikosov vortex lattice with d-wave pairing. The Andreev scattering rate arises from the self energy term in Gorkov's integral equation for the corresponding Green's function. The impurity scattering rate is calculated self-consistently from this Green's function in the t-matrix approximation. Neither point-like impurity scattering with a phase shift in the almost unitary limit nor in the Born limit can consistently explain recent zero-field and finite-field measurements of κ/T at low T in ultraclean YBCO. Our theory also applies to the spin triplet pairing states with vertical or horizontal line nodes in Sr2RuO4

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