Relation between Vortex Excitation and Thermal Conductivity in Superconductors

Physics – Condensed Matter – Superconductivity

Scientific paper

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9 pages, 11 figures, to appear in European Physical Journal B

Scientific paper

10.1140/epjb/e2002-00159-0

Thermal conductivity $\kappa_{xx}(T)$ under a field is investigated in $d_{x^2-y^2}$-wave superconductors and isotropic s-wave superconductors by the linear response theory, using a microscopic wave function of the vortex lattice states. To study the origin of the different field dependence of $\kappa_{xx}(T)$ between higher and lower temperature regions, we analyze the spatially-resolved thermal conductivity around a vortex at each temperature, which is related to the spectrum of the local density of states. We also discuss the electric conductivity in the same formulation for a comparison.

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