Low-Temperature Thermal Conductivity of Superconductors With Gap Nodes

Abstract

We report a detailed analytic and numerical study of electronic thermal conductivity in d-wave superconductors. We compare theory of the cross over at low temperatures from T-dependence to T^3-dependence for increasing temperature with recent experiments on YBCO in zero magnetic field for temperatures from 0.04K to 0.4K by Hill et al., Phys. Rev. Lett. 92, 027001 (2004). Transport theory, including impurity scattering and inelastic scattering within strong coupling superconductivity, can consistently fit the temperature dependence of the data in the lower half of the temperature regime. We discuss the conditions under which we expect power-law dependences over wide temperature intervals.

4 pages, 3 figures

References in corpus (11)

• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Thermal Conductivity across the Phase Diagram of Cuprates: Low-Energy Quasiparticles and Doping Dependence of the Superconducting Gap
• Universal Heat Transport in Sr2RuO4
• Metal-to-Insulator Crossover in YBa_{2}Cu_{3}O_{y} Probed by Low-Temperature Quasiparticle Heat Transport
• Low-temperature electronic heat transport in La_{2-x}Sr_{x}CuO_{4} single crystals: Unusual low-energy physics in the normal and superconducting states
• Transport in Ultraclean YBa${}_2$Cu${}_3$O${}_7$: neither Unitary nor Born Impurity Scattering
• Effect of controlled disorder on quasiparticle thermal transport in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$
• Microwave conductivity of d-wave superconductors with extended impurities
• Novel anisotropy in the superconducting gap structure of Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} probed by quasiparticle heat transport
• Test of the Wiedemann-Franz law in an optimally-doped cuprate
• Large Thermoelectric Effects in Unconventional Superconductors

Cited by in corpus (7)

• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Impurity Scattering and Mott's Formula in Graphene
• Revealing the ultra-sensitive calorimetric properties of supercon-ducting magic-angle twisted bilayer graphene
• Thermopower and thermophase in a $d$-wave superconductor
• Effect of Impurity Scattering on the Nonlinear Microwave Response in High-Tc Superconductors
• Theory of Thermal Conductivity in High-Tc Superconductors below Tc: Comparison between Hole-Doped and Electron-Doped Systems
• Tunneling limit of heavy-fermion point contacts