Microwave-induced flow of vortices in long Josephson junctions

Barkov, F. L.; Fistul, M. V.; Ustinov, A. V.

doi:10.1103/physrevb.70.134515

Cited by 9 publications

(7 citation statements)

References 35 publications

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“…The numerical results suggest that the Josephson vortices induced by the ac magnetic-field component of the electromagnetic waves effectively play the role of a dc magnetic field of the corresponding magnitude, which is qualitatively consistent with our experimental observation in Fig. 3 and previous reports [15].…”

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confidence: 92%

Vortex-flow electromagnetic emission in stacked intrinsic Josephson junctions

Bae

Lee

2006

Applied Physics Letters

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We confirmed the existence of the collective transverse plasma modes excited by the motion of the Josephson vortex lattice in stacked intrinsic Josephson junctions of Bi2Sr2CaCu2O8+x by observing the multiple subbranches in the Josephson-vortex-flow current-voltage characteristics. We also observed the symptom of the microwave emission from the resonance between the Josephson vortex lattice and the collective transverse plasma modes, which provides the possibility of developing Josephson-vortex-flow electromagnetic oscillators.

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confidence: 92%

Vortex-flow electromagnetic emission in stacked intrinsic Josephson junctions

Bae

Lee

2006

Applied Physics Letters

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“…Indeed, the enhanced phase diffusion in the form of stochastic fluxon motion has been found in Ref. 15. Moreover, a zero-crossing step has been found in numerical calculations of such system [16].…”

Section: Discussionmentioning

confidence: 86%

Incoherent microwave-induced resistive states of small Josephson junctions

Koval

Fistul

Ustinov

2010

Low Temperature Physics

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We report an experimental and theoretical study of low-voltage resistive states that are observed in small tunnel Josephson junctions under microwave radiation. The studied features emerge from Shapiro steps on the current-voltage characteristics and appear when both thermal fluctuations and high frequency dissipation are strong. In the absence of microwave radiation Josephson junctions display under these conditions a phase diffusion supercurrent branch characterized by a finite small resistance and hysteretic switching to high voltage range. As the microwave radiation is applied, we experimentally observe three different types of resistive states in the currentvoltage characteristics. First, the phase diffusion branch steadily evolves and its maximum reached voltage V m increases with the microwave power. Another interesting observed feature is a zero-crossing resistive state characterized by a negative resistance. Finally, we find that a low-voltage resistive state can split in numerous hysteretic fine branches resembling incoherent Shapiro-like steps. The appearance of a particular resistive state depends on an interrelation between the Josephson energy E J , energy of thermal fluctuations k B T, and the frequency of microwave radiation ω. Our theoretical analysis based on an incoherent multi-photon absorption of a junction biased in the Josephson phase diffusion regime, is in a good accord with experimental observations.

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“…It is then of interest to extend the study to the case of (dc) driven long, but finite Josephson junctions with phase-shifts, as experimentally used in [13,14]. In microwave-driven finite junctions, the boundaries can be a major external drive (see, e.g., [29,30]), which is not present in the study here. A constant (dc) bias current, which is mentioned to play an important role in the measurements reported in [13], is also not included in our current paper, even though the results presented herein should still hold for small enough constant drive.…”

Section: Discussionmentioning

confidence: 99%

Breathing Modes of Long Josephson Junctions with Phase-Shifts

Ali¹,

Susanto²,

Wattis³

2011

SIAM J. Appl. Math.

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Abstract. We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate conditions, Josephson junctions with phase-shifts can have a spatially nonuniform ground state. In recent reports [Phys. Rev. Lett. 98, 117006 (2007), arXiv:0903.1046, it is experimentally shown that a microwave drive can be used to measure the eigenfrequency of a junction's ground state. Such a microwave spectroscopy is based on the observation that when the frequency of the applied microwave is in the vicinity of the natural frequency of the ground state, the junction can switch to a resistive state, characterized by a non-zero junction voltage. It was conjectured that the process is analogous to the resonant phenomenon in a simple pendulum motion driven by a time periodic external force. In the case of long junctions with phase-shifts, it would be a resonance between the internal breathing mode of the ground state and the microwave field. Nonetheless, it was also reported that the microwave power needed to switch the junction into a resistive state depends on the magnitude of the eigenfrequency to be measured. Using multiple scale expansions, we show here that an infinitely long Josephson junction with phase-shifts cannot be switched to a resistive state by microwave field with frequency close to the system's eigenfrequency, provided that the applied microwave amplitude is small enough, which confirms the experimental observations. It is because higher harmonics with frequencies in the continuous spectrum are excited, in the form of continuous wave radiation. The breathing mode thus experiences radiative damping. In the absence of driving, the breathing mode decays at rates of at most O(t −1/4 ) and O(t −1/2 ) for junctions with a uniform and nonuniform ground state, respectively. The presence of applied microwaves balances the nonlinear damping, creating a stable breather mode oscillation. As a particular example, we consider the so-called 0 − π − 0 and 0 − κ Josephson junctions, respectively representing the two cases. We confirm our analytical results numerically. Using our numerical computations, we also show that there is a critical microwave amplitude at which the junction switches to the resistive state. Yet, it appears that the switching process is not necessarily caused by the breathing mode. We show a case where a junction switches to a resistive state due to the continuous wave background becoming modulationally unstable.

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Microwave-induced flow of vortices in long Josephson junctions

Cited by 9 publications

References 35 publications

Vortex-flow electromagnetic emission in stacked intrinsic Josephson junctions

Vortex-flow electromagnetic emission in stacked intrinsic Josephson junctions

Incoherent microwave-induced resistive states of small Josephson junctions

Breathing Modes of Long Josephson Junctions with Phase-Shifts

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