Nonlinear dynamics and dissipation of a curvilinear vortex driven by a strong time-dependent Meissner current
Abstract
Here, we report numerical simulations of large-amplitude oscillations of a trapped vortex line under a strong ac magnetic field $$\textit{H(t) = H}$$ sin$$\textit{ωt}$$ parallel to the surface. The power dissipated by an oscillating vortex segment driven by the surface ac Meissner currents was calculated by taking into account the nonlinear vortex line tension, vortex mass, and a nonlinear Larkin-Ovchinnikov (LO) viscous drag coefficient $$\textit{η(v)}$$. We show that the LO decrease of $$\textit{η(v)}$$ with the vortex velocity $$\textit{v}$$ can radically change the field dependence of the surface resistance R i ( H ) caused by trapped vortices. At low frequencies, $$R_i(H)$$ exhibits a conventional increase with $$\textit{H}$$, but as $$\textit{ω}$$ increases, the surface resistance becomes a nonmonotonic function of $$\textit{H}$$ which decreases with $$\textit{H}$$ at higher fields. The effects of frequency, pin spacing, and the mean-free path $$l_i$$ on the field dependence of $$R_i(H)$$ were calculated. It is shown that, as the surface gets dirtier and $$l_i$$ decreases, the anomalous drop of $$R_i(H)$$ with $$\textit{H}$$ shifts to lower fields which can be much smaller than the lower critical magnetic field. Our numerical simulations also show that the LO decrease of $$\textit{η(v)}$$ with $$\textit{v}$$ can cause a vortex bending instability at high field amplitudes and frequencies, giving rise to the formation of dynamic kinks along the vortex. Measurements of $$R_i(H)$$ caused by sparse vortices trapped perpendicular to the surface can offer opportunities to investigate an extreme nonlinear dynamics of vortices driven by strong current densities up to the depairing limit at low temperatures. The behavior of $$R_i(H)$$, which can be tuned by varying the rf frequency or concentration of nonmagnetic impurities, is not masked by strong heating effects characteristic of dc or pulse transport measurements.
- Authors:
-
- Old Dominion Univ., Norfolk, VA (United States)
- Publication Date:
- Research Org.:
- Old Dominion Univ., Norfolk, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1802033
- Grant/Contract Number:
- SC0010081; PHY 1632749; PHY 1734075
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 6; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Materials Science; Physics
Citation Formats
Pathirana, W. P. M. R., and Gurevich, A. Nonlinear dynamics and dissipation of a curvilinear vortex driven by a strong time-dependent Meissner current. United States: N. p., 2020.
Web. doi:10.1103/physrevb.101.064504.
Pathirana, W. P. M. R., & Gurevich, A. Nonlinear dynamics and dissipation of a curvilinear vortex driven by a strong time-dependent Meissner current. United States. https://doi.org/10.1103/physrevb.101.064504
Pathirana, W. P. M. R., and Gurevich, A. Wed .
"Nonlinear dynamics and dissipation of a curvilinear vortex driven by a strong time-dependent Meissner current". United States. https://doi.org/10.1103/physrevb.101.064504. https://www.osti.gov/servlets/purl/1802033.
@article{osti_1802033,
title = {Nonlinear dynamics and dissipation of a curvilinear vortex driven by a strong time-dependent Meissner current},
author = {Pathirana, W. P. M. R. and Gurevich, A.},
abstractNote = {Here, we report numerical simulations of large-amplitude oscillations of a trapped vortex line under a strong ac magnetic field $\textit{H(t) = H}$ sin$\textit{ωt}$ parallel to the surface. The power dissipated by an oscillating vortex segment driven by the surface ac Meissner currents was calculated by taking into account the nonlinear vortex line tension, vortex mass, and a nonlinear Larkin-Ovchinnikov (LO) viscous drag coefficient $\textit{η(v)}$. We show that the LO decrease of $\textit{η(v)}$ with the vortex velocity $\textit{v}$ can radically change the field dependence of the surface resistance R i ( H ) caused by trapped vortices. At low frequencies, $R_i(H)$ exhibits a conventional increase with $\textit{H}$, but as $\textit{ω}$ increases, the surface resistance becomes a nonmonotonic function of $\textit{H}$ which decreases with $\textit{H}$ at higher fields. The effects of frequency, pin spacing, and the mean-free path $l_i$ on the field dependence of $R_i(H)$ were calculated. It is shown that, as the surface gets dirtier and $l_i$ decreases, the anomalous drop of $R_i(H)$ with $\textit{H}$ shifts to lower fields which can be much smaller than the lower critical magnetic field. Our numerical simulations also show that the LO decrease of $\textit{η(v)}$ with $\textit{v}$ can cause a vortex bending instability at high field amplitudes and frequencies, giving rise to the formation of dynamic kinks along the vortex. Measurements of $R_i(H)$ caused by sparse vortices trapped perpendicular to the surface can offer opportunities to investigate an extreme nonlinear dynamics of vortices driven by strong current densities up to the depairing limit at low temperatures. The behavior of $R_i(H)$, which can be tuned by varying the rf frequency or concentration of nonmagnetic impurities, is not masked by strong heating effects characteristic of dc or pulse transport measurements.},
doi = {10.1103/physrevb.101.064504},
journal = {Physical Review. B},
number = 6,
volume = 101,
place = {United States},
year = {Wed Feb 05 00:00:00 EST 2020},
month = {Wed Feb 05 00:00:00 EST 2020}
}
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