Phase retrapping in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>φ</mml:mi></mml:math>Josephson junction: Onset of the butterfly effect

Menditto, R.; Sickinger, H.; Weides, Martin; Kohlstedt, H.; Žonda, Martin; Novotný, Tomáš; Koelle, D.; Kleiner, R.; Goldobin, E.

doi:10.1103/physrevb.93.174506

Cited by 14 publications

(8 citation statements)

References 19 publications

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“…With increase of |B|, the interval available for ϕ g diminishes and for |B| ≫ 1 it asymptotically converges to ±π/2. It is necessary to note that the condition B < 0 can be realized in junctions with a complex internal structure of their weak link region[12][13][14][15][16][17] .Contrary to the result presented in Fig.2, all the I S (ϕ) dependencies shown in Fig.4are single-valued functions of ϕ. These types of current-phase relations exist only in the limited area in the (A, B) phase plane.…”

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confidence: 77%

Section: Numerical Description Of Cprmentioning

confidence: 99%

“…It requires additional inhomogeneity inside F-layer. For instance, the existence of normal metal areas or step-like geometry of the layer [12][13][14][15][16][17] .…”

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confidence: 99%

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Current-phase relations in SIsFS junctions in the vicinity of 0- π transition

et al. 2017

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We consider the current-phase relation (CPR) in the Josephson junctions with complex insulatorsuperconductor-ferromagnetic interlayers in the vicinity of 0-π transition. We find a strong impact of the second harmonic on CPR of the junctions. It is shown that the critical current can be kept constant in the region of 0-pi transition, while the CPR transforms through multi-valued hysteretic states depending on the relative values of tunnel transparency and magnetic thickness. Moreover, CPR in the transition region has multiple branches with distinct ground states.

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confidence: 77%

Section: Numerical Description Of Cprmentioning

confidence: 99%

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Current-phase relations in SIsFS junctions in the vicinity of 0- π transition

et al. 2017

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“…Despite the relative conceptual simplicity of this mechanical picture the analysed system is able to exhibit an extremely rich dynamics and variety of anomalous transport features including the absolute negative mobility 33,34 , the nonequilibrium noise enhanced transport efficiency [35][36][37] , the anomalous diffusion [38][39][40][41] , the amplification of normal diffusion 42 and the non-monotonic temperature dependence of normal diffusion [43][44][45][46] . Finally, it is worth to note that the recent progress in fabrication and manufacturing of Josephson junctions allows to construct the Josephson junction ratchet similar to (1) using only a single superconducting element [47][48][49] . The Langevin equation ( 1) cannot be effectively handled by any standard analytical methods.…”

Section: Modelmentioning

confidence: 99%

SQUID ratchet: Statistics of transitions in dynamical localization

Spiechowicz

Łuczka

2019

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We study occupation of certain regions of phase space of an asymmetric superconducting quantum interference device (SQUID) driven by thermal noise, subjected to an external ac current and threaded by a constant magnetic flux. Thermally activated transitions between the states which reflect three deterministic attractors are analyzed in the regime of the noise induced dynamical localization of the Josephson phase velocity, i.e. there is a temperature interval in which the conditional probability of the voltage to remain in one of the states is very close to one. Implications of this phenomenon on the dc voltage drop across the SQUID are discussed. We detect the emergence of the power law tails in a residence time probability distribution of the Josephson phase velocity and discuss the role of symmetry breaking in dynamical localization induced by thermal noise. This phenomenon illustrates how deterministic-like behaviour may be extracted from randomness by stochasticity itself. arXiv:1806.03034v1 [cond-mat.stat-mech]

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“…The promising concept of the Josephson memory with electrical control can be also realized using the phenomenon of the coexistense of the two metastable states in the vicinity of 0π transition 23,24 . For instance, these states can be achieved inside the region of the 0 − π transition of the junction with ferromagnetic layer [25][26][27][28] or in the junctions with two uncollinearlly magnetized hard ferromagnets 29,30 .…”

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Protected 0-πstates in SIsFS junctions for Josephson memory and logic

Bakurskiy

Klenov

Soloviev

et al. 2018

Applied Physics Letters

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We study the peculiarities in current-phase relations (CPR) of the SIsFS junction in the region of 0 to π transition. These CPR consist of two independent branches corresponding to 0− and π− states of the contact. We have found that depending on the transparency of the SIs tunnel barrier the decrease of the s-layer thickness leads to transformation of the CPR shape going in the two possible ways: either one of the branches exists only in discrete intervals of the phase difference ϕ or both branches are sinusoidal but differ in the magnitude of their critical currents. We demonstrate that the difference can be as large as 10% under maintaining superconductivity in the s layer. An applicability of these phenomena for memory and logic application is discussed. PACS numbers: 74.45.+c, 74.50.+r, 74.78.Fk, 85.25.Cp Josephson junctions with ferromagnetic (F) layers in weak link region are considered as promising control elements in a superconducting memory compatible with RSFQ logic circuits 1-6 . The presence of two or more ferromagnetic layers in the weak-coupling region makes it possible to control the magnitude of the critical current J C of these junctions by changing of mutual orientation of F films magnetization vectors 7-13 . It is necessary to mention that the large number of ferromagnetic layers in the weak-coupling area is accompanied by degradation of J C by virtue of the larger number of interfaces in the structure, and owing to the strong suppression of superconducting correlations in each of the F layers.In [14][15][16][17][18][19] it was shown that the required changes in J C can also be ensured in SFS or SIsFS structures with single ferromagnetic layer. The remagnetization of the ferromagnetic layer in these junctions shifts the position of the maximum in Fraunhofer-like dependence of J C on external magnetic field resulting in changing of J C magnitude at zero field. This principle was extended in magnetic rotary valves 20,21 where the switching effect in J C magnitude was achieved by changing the direction of the inplane F film magnetization.It should be noted that magnetization reversal processes significantly increase the characteristic response time of the SFS control memory elements in comparison with the characteristic switching time of Josephson contacts in SFQ logic circuits. In order to overcome this drawback, it was suggested in 22 to use SIs-F/N-S contacts, where thin s-layer can be subdivided on superconducting domains with a phase shift of π. However, the implementation of the above mentioned proposals is a rather complicated technological task.The promising concept of the Josephson memory with electrical control can be also realized using the phenomenon of the coexistense of the two metastable states in the vicinity of 0π transition 23,24 . For instance, these states can be achieved inside the region of the 0 − π transition of the junction with ferromagnetic layer [25][26][27][28] or in the junctions with two uncollinearlly magnetized hard ferromagnets 29,30 . The conditions for the ex...

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Phase retrapping in aφJosephson junction: Onset of the butterfly effect

Cited by 14 publications

References 19 publications

Current-phase relations in SIsFS junctions in the vicinity of 0- π transition

Current-phase relations in SIsFS junctions in the vicinity of 0- π transition

SQUID ratchet: Statistics of transitions in dynamical localization

Protected 0-πstates in SIsFS junctions for Josephson memory and logic

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