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

Fuente: arXiv
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Autori principali: Røising, Henrik S., Kreisel, Andreas, Andersen, Brian M.
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866929509360467968
author Røising, Henrik S.
Kreisel, Andreas
Andersen, Brian M.
author_facet Røising, Henrik S.
Kreisel, Andreas
Andersen, Brian M.
contents The thermal quasiparticles in a clean type-II superconductor with line nodes give rise to a quadratic low-temperature change of the penetration depth, $Δλ\sim T^2$, 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 $\mathrm{B}_{1\mathrm{g}}$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_19365
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonlocal electrodynamics and the penetration depth of superconducting Sr$_2$RuO$_4$
Røising, Henrik S.
Kreisel, Andreas
Andersen, Brian M.
Superconductivity
Strongly Correlated Electrons
The thermal quasiparticles in a clean type-II superconductor with line nodes give rise to a quadratic low-temperature change of the penetration depth, $Δλ\sim T^2$, 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 $\mathrm{B}_{1\mathrm{g}}$ 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.
title Nonlocal electrodynamics and the penetration depth of superconducting Sr$_2$RuO$_4$
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2404.19365