Phenomenological model of the third-harmonic magnetic response due to superconducting fluctuations: Application to Sr2RuO4
Abstract
Here, we employ the phenomenological Lawrence-Doniach model to compute the contributions of the superconducting fluctuations to the third-harmonic magnetic response, denoted here by $$\bar{M_3}$$, which can be measured in a precise way using ac magnetic fields and lock-in techniques. We show that, in an intermediate temperature regime, this quantity behaves as the third-order nonlinear susceptibility, which shows a power-law dependence with the reduced temperature ε = $$\frac{T-T_c}{T_c}$$ as ε-5/2. Very close to Tc, however, $$\bar{M_3}$$ saturates due to the nonzero amplitude of the ac field. We compare our theoretical results with experimental data for three conventional superconductors—lead, niobium, and vanadium—and for the unconventional superconductor Sr2RuO4 (SRO). We find good agreement between theory and experiment for the elemental superconductors, although the theoretical values for the critical field systematically deviate from the experimental ones. In the case of SRO, however, the phenomenological model completely fails to describe the data, as the third-harmonic response remains sizable over a much wider reduced temperature range compared to Pb, Nb, and V. We show that an inhomogeneous distribution of Tc across the sample can partially account for this discrepancy, since regions with a locally higher Tc contribute to the fluctuation $$\bar{M_3}$$ significantly more than regions with the “nominal” Tc of the clean system. However, the exponential temperature dependence of $$\bar{M_3}$$ first reported by Pelc et al. [Nat. Commun. 10, 2729 (2019)] is not captured by the model with inhomogeneity. We conclude that, while inhomogeneity is an important ingredient to understand the superconducting fluctuations of SRO and other perovskite superconductors, additional effects may be at play, such as non-Gaussian fluctuations or rare-region effects.
- Authors:
-
[1];
- Univ. of Minnesota, Minneapolis, MN (United States)
- Univ. of Minnesota, Minneapolis, MN (United States); Univ. of Zagreb (Croatia)
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1852205
- Grant/Contract Number:
- SC0016371
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 6; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; magnetic susceptibility; superconducting fluctuations; superconductivity; ruthenates
Citation Formats
Chen, Fei, Pelc, Damjan, Greven, Martin, and Fernandes, Rafael M. Phenomenological model of the third-harmonic magnetic response due to superconducting fluctuations: Application to Sr2RuO4. United States: N. p., 2021.
Web. doi:10.1103/physrevb.104.064502.
Chen, Fei, Pelc, Damjan, Greven, Martin, & Fernandes, Rafael M. Phenomenological model of the third-harmonic magnetic response due to superconducting fluctuations: Application to Sr2RuO4. United States. https://doi.org/10.1103/physrevb.104.064502
Chen, Fei, Pelc, Damjan, Greven, Martin, and Fernandes, Rafael M. Mon .
"Phenomenological model of the third-harmonic magnetic response due to superconducting fluctuations: Application to Sr2RuO4". United States. https://doi.org/10.1103/physrevb.104.064502. https://www.osti.gov/servlets/purl/1852205.
@article{osti_1852205,
title = {Phenomenological model of the third-harmonic magnetic response due to superconducting fluctuations: Application to Sr2RuO4},
author = {Chen, Fei and Pelc, Damjan and Greven, Martin and Fernandes, Rafael M.},
abstractNote = {Here, we employ the phenomenological Lawrence-Doniach model to compute the contributions of the superconducting fluctuations to the third-harmonic magnetic response, denoted here by $\bar{M_3}$, which can be measured in a precise way using ac magnetic fields and lock-in techniques. We show that, in an intermediate temperature regime, this quantity behaves as the third-order nonlinear susceptibility, which shows a power-law dependence with the reduced temperature ε = $\frac{T-T_c}{T_c}$ as ε-5/2. Very close to Tc, however, $\bar{M_3}$ saturates due to the nonzero amplitude of the ac field. We compare our theoretical results with experimental data for three conventional superconductors—lead, niobium, and vanadium—and for the unconventional superconductor Sr2RuO4 (SRO). We find good agreement between theory and experiment for the elemental superconductors, although the theoretical values for the critical field systematically deviate from the experimental ones. In the case of SRO, however, the phenomenological model completely fails to describe the data, as the third-harmonic response remains sizable over a much wider reduced temperature range compared to Pb, Nb, and V. We show that an inhomogeneous distribution of Tc across the sample can partially account for this discrepancy, since regions with a locally higher Tc contribute to the fluctuation $\bar{M_3}$ significantly more than regions with the “nominal” Tc of the clean system. However, the exponential temperature dependence of $\bar{M_3}$ first reported by Pelc et al. [Nat. Commun. 10, 2729 (2019)] is not captured by the model with inhomogeneity. We conclude that, while inhomogeneity is an important ingredient to understand the superconducting fluctuations of SRO and other perovskite superconductors, additional effects may be at play, such as non-Gaussian fluctuations or rare-region effects.},
doi = {10.1103/physrevb.104.064502},
journal = {Physical Review. B},
number = 6,
volume = 104,
place = {United States},
year = {Mon Aug 02 00:00:00 EDT 2021},
month = {Mon Aug 02 00:00:00 EDT 2021}
}
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