Relation between vortex excitation and thermal conductivity in superconductors

Abstract

Abstract. Thermal conductivity κxx(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 κxx(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.PACS. 74.60Ec Mixed state -74.25Fy Transport properties -74.25Jb Electronic structure

Quasi-Classical Calculation of the Mixed-State Thermal Conductivity in s- and d-Wave Superconductors

“…In the BPT approximation, the spatial average is performed incoherently as noted above using eq. (26). This procedure is expected to overestimate the vortex-core scattering and reduce the thermal conductivity.…”

“…16 So far, there have been several approaches to the calculation of the mixed-state thermal conductivity in a moderately clean superconductor. [17][18][19][20][21][22][23][24][25][26][27][28] Among them, two approximations have been frequently used. One is the Doppler shift approximation.…”

Theory of resistivity upturns in metallic cuprates

“…The function F͑E n , E m ͒ is symmetric under exchange of E n ↔ E m . 51 The resistivity is then given by the inverse of and is plotted in…”

Breakdown of Universal Transport in Correlatedd-Wave Superconductors

“…For d-wave superconductors, a real-space BdG calculation of κ(T ) was used to study both localization phenomena [9,13] and the vortex state [30]. Here we follow the same approach but focus on the correlation effects and the role of disorder-induced magnetization using a realistic band structure for cuprate superconductors.…”