Nonlocal electrodynamics and the penetration depth of superconducting Sr$_2$RuO$_4$

Henrik S. Røising; Andreas Kreisel; Brian M. Andersen

doi:10.1103/PhysRevB.110.094511

paper

Nonlocal electrodynamics and the penetration depth of superconducting Sr $_{2}$ RuO $_{4}$

arXiv:2404.19365 · doi:10.1103/PhysRevB.110.094511

Abstract

The thermal quasiparticles in a clean type-II superconductor with line nodes give rise to a quadratic low-temperature change of the penetration depth, $Δ λ \sim T^{2}$ , as first shown by Kosztin and Leggett [I. Kosztin and A. J. Leggett, Phys. Rev. Lett. 79, 135 (1997)]. Here, we generalize this result to multiple nodes and compare it to numerically exact evaluations of the temperature-dependent penetration depth in Sr $_{2}$ RuO $_{4}$ using a high-precision tight-binding model. We compare the calculations to recent penetration depth measurements in high purity single crystals of Sr $_{2}$ RuO $_{4}$ [J. F. Landaeta et al., arXiv:2312.05129]. When assuming the order parameter to have $B_{1 g}$ symmetry, we find that both a simple $d_{x^{2} - y^{2}}$ -wave and complicated gap structures with contributions from higher harmonics and accidental nodes can accommodate the experimental data.

9 pages, 4 figures, updated version

Nonlocal electrodynamics and the penetration depth of superconducting Sr2​RuO4​

Abstract

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Nonlocal electrodynamics and the penetration depth of superconducting Sr $_{2}$ RuO $_{4}$