Scaling Relations in the Vortex State of Nodal Superconductors

TL;DR

This paper investigates scaling relations in the vortex state of nodal superconductors, extending previous work to provide tests for identifying nodal superconductivity through thermodynamic and thermal conductivity measurements.

Contribution

It generalizes earlier scaling relations to a broader class of nodal superconductors, offering a method to experimentally verify their nodal nature.

Findings

Scaling relations in thermodynamics confirmed for nodal superconductors

Thermal conductivity scaling relations established as diagnostic tools

Provides a framework for experimental identification of nodal superconductivity

Abstract

In contrast to multigap superconductors (e.g. MgB$_{2}$), the low-temperature properties of nodal superconductors are dominated by nodal excitations. Here we extend for a variety of nodal superocnductors the earlier work by Simon and Lee and K\"ubert and Hirschfeld. The scaling relations seen in the thermodynamics and the thermal conductivity will provide an unequivocal test of nodal superconductivity.