Parametric amplification of vortex-antivortex pair generation in a Josephson junction

Berdiyorov, Golibjon; Milošević, M. V.; Savel’ev, Sergey; Kusmartsev, F. V.; Peeters, F. M.

doi:10.1103/physrevb.90.134505

Cited by 20 publications

(15 citation statements)

References 82 publications

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“…Distribution of magnetic fluxes in the Josephson junction gives the important information of Josephson vortices, and is one of the main subjects of studies of the Josephson effect [19,20,21,22,23,24]. For the vortex-vortex interaction in the frustrated case, a remarkable consequence of the change of vacuum structure can be seen in the magnetic flux:…”

Section: Ground Statementioning

confidence: 99%

“…The dynamics of Josephson vortices can be described by the sine-Gordon model [14,15,16,17,18]. On the other hand, studies of the vortices in various complex setups are frequently done by using the simulations of the Ginzburg-Landau (GL) model: 3D GL calculation in anisotropic mesoscopic superconductors [19], vortex-antivortex pair generation in the presence of applied electric current [20], time-dependent calculation of the vortices under an external source [21,22,23,24], and so on. Josephson vortex is not a mere conceptual object in theoretical physics, but a detectable one: it is directly observed by using scanning tunneling microscopy on the surface of Si(111)-( √ 7 × √ 3)-In [25] and in a lateral superconductor-normal-superconductor (SNS) network of superconducting Pb nanocrystals linked together by an atomically thin Pb wetting layer [26].…”

Section: Introductionmentioning

confidence: 99%

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Field theoretical model of multilayered Josephson junction and dynamics of Josephson vortices

Fujimori¹,

Iida²,

Nitta³

2016

Phys. Rev. B

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Multilayered Josephson junctions are modeled in the context of a field theory, and dynamics of Josephson vortices trapped inside insulators are studied. Starting from a theory consisting of complex and real scalar fields coupled to a U(1) gauge field which admit parallel N − 1 domain-wall solutions, Josephson couplings are introduced weakly between the complex scalar fields. The N − 1 domain walls behave as insulators separating N superconductors, where one of the complex scalar fields has a gap. We construct the effective Lagrangian on the domain walls, which reduces to a coupled sine-Gordon model for well-separated walls and contains more interactions for walls at short distance. We then construct sine-Gordon solitons emerging in an effective theory in which we identify Josephson vortices carrying singly quantized magnetic fluxes. When two neighboring superconductors tend to have the same phase, the ground state does not change with the positions of domain walls (the width of superconductors). On the other hand, when two neighboring superconductors tend to have π -phase differences, the ground state has a phase transition depending on the positions of domain walls; when the two walls are close to each other (one superconductor is thin), frustration occurs because of the coupling between the two superconductors besides the thin superconductor. Focusing on the case of three superconductors separated by two insulators, we find for the former case that the interaction between two Josephson vortices on different insulators changes its nature, i.e., attractive or repulsive, depending on the positions of the domain walls. In the latter case, there emerges fractional Josephson vortices when two degenerate ground states appear due to spontaneous charge-symmetry breaking, and the number of the Josephson vortices varies with the position of the domain walls. Our predictions should be verified in multilayered Josephson junctions.

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Section: Ground Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Field theoretical model of multilayered Josephson junction and dynamics of Josephson vortices

Fujimori¹,

Iida²,

Nitta³

2016

Phys. Rev. B

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“…The stability range of the rectangular array of the vortices can be further increased by introducing an ordered array of pinning centers [26,27]. The pinning can be created by structural defects, which change the Josephson tunneling distance locally [12], or, alternatively, by forming pancake vortices at inclined magnetic fields [28]. The latter serves as magnetic pinning centers [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, considerable efforts have been devoted to the study of the dynamics of Josephson vortices (fluxons) in stacks of Josephson junctions (JJs) [1][2][3][4][5][6][7][8][9][10][11][12][13]. This is, e.g., motivated by its potential to use such Josephson systems for creating high-frequency electromagnetic oscillations (see Refs.…”

Section: Introductionmentioning

confidence: 99%

Effect of ordered array of magnetic dots on the dynamics of Josephson vortices in stacked SNS Josephson junctions under DC and AC current

et al. 2015

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Abstract.We use the anisotropic time-dependent Ginzburg-Landau theory to investigate the effect of a square array of out-of-plane magnetic dots on the dynamics of Josephson vortices (fluxons) in artificial stacks of superconducting-normal-superconducting (SNS) Josephson junctions in the presence of external DC and AC currents. Periodic pinning due to the magnetic dots distorts the triangular lattice of fluxons and results in the appearance of commensurability features in the current-voltage characteristics of the system. For the larger values of the magnetization, additional peaks appear in the voltage-time characteristics of the system due to the creation and annihilation of vortex-antivortex pairs. Peculiar changes in the response of the system to the applied current is found resulting in a "superradiant" vortex-flow state at large current values, where a rectangular lattice of moving vortices is formed. Synchronizing the motion of fluxons by adding a small ac component to the biasing dc current is realized. However, we found that synchronization becomes difficult for large magnetization of the dots due to the formation of vortex-antivortex pairs.

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“…Due to the interaction between vortices and sample boundaries, vortex configurations strongly dependent on the size and geometry of mesoscopic samples whose dimensions are of the order of the penetration depth λ or the coherence length ξ. For example, strong confinement leads to the formation of the giant vortex state [3][4][5][6][7] and multivortex state [8][9][10][11][12][13][14], which are energetically less favorable in bulk type-II superconductors [15]. The vortex-antivortex states are easily stabilized in an inhomogeneous magnetic field [16].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Treatment of Vortex States in 3D Mesoscopic Cylindrical Superconductors in a Tilted Magnetic Field

Lin

et al. 2018

Acta Phys. Pol. A

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The time-dependent Ginzburg-Landau equations have been solved numerically by a finite element analysis for the mesoscopic superconducting samples with cylindrical shape in a uniform axial magnetic field. We obtain the different vortex patterns as a function of the applied field perpendicular to its surface. We find that multi-vortex states are ground state in three-dimensional mesoscopic cylinders. These results show that our approach is an effective and useful to interpret experimental data on vortex states in the mesoscopic superconductors.

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Parametric amplification of vortex-antivortex pair generation in a Josephson junction

Cited by 20 publications

References 82 publications

Field theoretical model of multilayered Josephson junction and dynamics of Josephson vortices

Field theoretical model of multilayered Josephson junction and dynamics of Josephson vortices

Effect of ordered array of magnetic dots on the dynamics of Josephson vortices in stacked SNS Josephson junctions under DC and AC current

Finite Element Treatment of Vortex States in 3D Mesoscopic Cylindrical Superconductors in a Tilted Magnetic Field

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