English

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

Superconductivity 2024-09-24 v2 Strongly Correlated Electrons

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, ΔλT2\Delta \lambda \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 Sr2_2RuO4_4 using a high-precision tight-binding model. We compare the calculations to recent penetration depth measurements in high purity single crystals of Sr2_2RuO4_4 [J. F. Landaeta et al., arXiv:2312.05129]. When assuming the order parameter to have B1g\mathrm{B}_{1\mathrm{g}} symmetry, we find that both a simple dx2y2d_{x^2-y^2}-wave and complicated gap structures with contributions from higher harmonics and accidental nodes can accommodate the experimental data.

Keywords

Cite

@article{arxiv.2404.19365,
  title  = {Nonlocal electrodynamics and the penetration depth of superconducting Sr$_2$RuO$_4$},
  author = {Henrik S. Røising and Andreas Kreisel and Brian M. Andersen},
  journal= {arXiv preprint arXiv:2404.19365},
  year   = {2024}
}

Comments

9 pages, 4 figures, updated version