Theory of thermal and charge transport in diffusive normal metal / superconductor junctions

Abstract

Thermal and charge transport in the diffusive normal metal(DN) / insulator / $s$-, $d$- and p-wave superconductor junctions are studied for various situations, where we have used the Usadel equation with Nazarov's generalized boundary condition. Thermal and electrical conductance of the junction and the Lorentz ratio are calculated by varying the magnitudes of the resistance, the Thouless energy and the magnetic scattering rate in DN, the transparency of the insulating barrier, and the angle between the normal to the interface and the crystal axis of d-wave superconductors or the angle between the normal to the interface and the lobe direction of the p-wave pair potential. New general expression is derived for the calculation of the thermal conductance. It is demonstrated that the proximity effect doesn't influence the thermal conductance while the mid gap Andreev resonant states suppress it. We have also discussed a possibility of distinguishing pairing symmetries based on the dependencies of the electrical and thermal conductance on temperatures.

21 pages, 20 figures, stylistic changes in v2

References in corpus (14)

• Angular Position of Nodes in the Superconducting Gap of Quasi-2D Heavy-Fermion Superconductor CeCoIn_5
• Superconducting Gap Structure of kappa-(BEDT-TTF)2Cu(NCS)2 Probed by Thermal Conductivity Tensor
• Breakdown of Fermi-liquid theory in a cuprate superconductor
• Gap Function with Point Nodes in Borocarbide Superconductor YNi_2B_2C
• Anomalous charge transport in mesoscopic triplet superconductor junctions
• Circuit theory of unconventional superconductor junctions
• Theory of enhanced proximity effect by mid gap Andreev resonant state in diffusive normal metal / triplet superconductor junctions
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Universal Heat Transport in Sr2RuO4
• Tunneling conductance of normal metal / $d_{x^2-y^2}$-wave superconductor junctions in the presence of broken time reversal symmetry states near interfaces
• Theory of charge transport in diffusive normal metal / conventional superconductor point contacts
• Electronic thermal conductivity of disordered metals
• Heat transport in proximity structures
• Influence of magnetic impurities on charge transport in diffusive-normal-metal / superconductor junctions

Cited by in corpus (11)

• Odd-frequency superconductivity
• Josephson Spin Current in Triplet Superconductor Junctions
• Electron cooling by diffusive normal metal - superconductor tunnel junctions
• Thermopower and thermal conductance of a superconducting quantum point contact
• Electron cooling in diffusive normal metal - superconductor tunnel junctions with a spin-valve ferromagnetic interlayer
• Nonequilibrium electron cooling by NIS tunnel junctions
• Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions
• Quantum transport in a normal metal/odd-frequency superconductor junction
• Identifying Bogoliubov Fermi surfaces via thermoelectric response in a $d$-wave superconductor heterostructure
• Quantum kinetic equations and anomalous non-equilibrium Cooper pair spin accumulation in Rashba wires with Zeeman splitting
• Smearing origin of zero-bias conductance peak in Ag-SiO-Bi-2212 planar tunnel junctions: influence of diffusive normal metal verified with the circuit theory