Chaotic dynamics from coupled magnetic monodomain and Josephson current
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2023
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The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet-superconductor Josephson junction, known as the φ0 junction, the magnetic layer effectively provides two extra degrees of freedom that can facilitate chaotic dynamics in the resulting four-dimensional autonomous system. In this work, we use the Landau-Lifshitz-Gilbert model for the magnetic moment of the ferromagnetic weak link, while the Josephson junction is described by the resistively capacitively shunted-junction model. We study the chaotic dynamics of the system for parameters surrounding the ferromagnetic resonance region, i.e., for which the Josephson frequency is reasonably close to the ferromagnetic frequency. We show that, due to the conservation of magnetic moment magnitude, two of the numerically computed full spectrum Lyapunov characteristic exponents are trivially zero. One-parameter bifurcation d...iagrams are used to investigate various transitions that occur between quasiperiodic, chaotic, and regular regions as the dc-bias current through the junction, I, is varied. We also compute two-dimensional bifurcation diagrams, which are similar to traditional isospike diagrams, to display the different periodicities and synchronization properties in the I−G parameter space, where G is the ratio between the Josephson energy and the magnetic anisotropy energy. We find that as I is reduced the onset of chaos occurs shortly before the transition to the superconducting state. This onset of chaos is signaled by a rapid rise in supercurrent (IS⟶I) which corresponds, dynamically, to increasing anharmonicity in phase rotations of the junction.
Извор:
Physical Review E, 2023, 107, 2, 024205-Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200017 (Универзитет у Београду, Институт за нуклеарне науке Винча, Београд-Винча) (RS-MESTD-inst-2020-200017)
- Russian Science Foundation [Project No. 22-71-10022]
Институција/група
VinčaTY - JOUR AU - Botha, Andre E. AU - Shukrinov, Yury M. AU - Tekić, Jasmina AU - Kolahchi, Mohammad R. PY - 2023 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10691 AB - The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet-superconductor Josephson junction, known as the φ0 junction, the magnetic layer effectively provides two extra degrees of freedom that can facilitate chaotic dynamics in the resulting four-dimensional autonomous system. In this work, we use the Landau-Lifshitz-Gilbert model for the magnetic moment of the ferromagnetic weak link, while the Josephson junction is described by the resistively capacitively shunted-junction model. We study the chaotic dynamics of the system for parameters surrounding the ferromagnetic resonance region, i.e., for which the Josephson frequency is reasonably close to the ferromagnetic frequency. We show that, due to the conservation of magnetic moment magnitude, two of the numerically computed full spectrum Lyapunov characteristic exponents are trivially zero. One-parameter bifurcation diagrams are used to investigate various transitions that occur between quasiperiodic, chaotic, and regular regions as the dc-bias current through the junction, I, is varied. We also compute two-dimensional bifurcation diagrams, which are similar to traditional isospike diagrams, to display the different periodicities and synchronization properties in the I−G parameter space, where G is the ratio between the Josephson energy and the magnetic anisotropy energy. We find that as I is reduced the onset of chaos occurs shortly before the transition to the superconducting state. This onset of chaos is signaled by a rapid rise in supercurrent (IS⟶I) which corresponds, dynamically, to increasing anharmonicity in phase rotations of the junction. T2 - Physical Review E T1 - Chaotic dynamics from coupled magnetic monodomain and Josephson current VL - 107 IS - 2 SP - 024205 DO - 10.1103/PhysRevE.107.024205 ER -
@article{ author = "Botha, Andre E. and Shukrinov, Yury M. and Tekić, Jasmina and Kolahchi, Mohammad R.", year = "2023", abstract = "The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet-superconductor Josephson junction, known as the φ0 junction, the magnetic layer effectively provides two extra degrees of freedom that can facilitate chaotic dynamics in the resulting four-dimensional autonomous system. In this work, we use the Landau-Lifshitz-Gilbert model for the magnetic moment of the ferromagnetic weak link, while the Josephson junction is described by the resistively capacitively shunted-junction model. We study the chaotic dynamics of the system for parameters surrounding the ferromagnetic resonance region, i.e., for which the Josephson frequency is reasonably close to the ferromagnetic frequency. We show that, due to the conservation of magnetic moment magnitude, two of the numerically computed full spectrum Lyapunov characteristic exponents are trivially zero. One-parameter bifurcation diagrams are used to investigate various transitions that occur between quasiperiodic, chaotic, and regular regions as the dc-bias current through the junction, I, is varied. We also compute two-dimensional bifurcation diagrams, which are similar to traditional isospike diagrams, to display the different periodicities and synchronization properties in the I−G parameter space, where G is the ratio between the Josephson energy and the magnetic anisotropy energy. We find that as I is reduced the onset of chaos occurs shortly before the transition to the superconducting state. This onset of chaos is signaled by a rapid rise in supercurrent (IS⟶I) which corresponds, dynamically, to increasing anharmonicity in phase rotations of the junction.", journal = "Physical Review E", title = "Chaotic dynamics from coupled magnetic monodomain and Josephson current", volume = "107", number = "2", pages = "024205", doi = "10.1103/PhysRevE.107.024205" }
Botha, A. E., Shukrinov, Y. M., Tekić, J.,& Kolahchi, M. R.. (2023). Chaotic dynamics from coupled magnetic monodomain and Josephson current. in Physical Review E, 107(2), 024205. https://doi.org/10.1103/PhysRevE.107.024205
Botha AE, Shukrinov YM, Tekić J, Kolahchi MR. Chaotic dynamics from coupled magnetic monodomain and Josephson current. in Physical Review E. 2023;107(2):024205. doi:10.1103/PhysRevE.107.024205 .
Botha, Andre E., Shukrinov, Yury M., Tekić, Jasmina, Kolahchi, Mohammad R., "Chaotic dynamics from coupled magnetic monodomain and Josephson current" in Physical Review E, 107, no. 2 (2023):024205, https://doi.org/10.1103/PhysRevE.107.024205 . .