Pertubation analysis of the dynamical behavior of two-junction 
interferometers

Luca, R. De; Fedullo, Aniello; Gasanenko, V. A.

doi:10.1140/epjb/e2007-00237-9

Cited by 8 publications

(11 citation statements)

References 6 publications

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“…However, for the inductance value l ≈ 1 numerical calculation result becomes inconsistent compared to Ref. [40,41].…”

Section: Superconducting Statementioning

confidence: 81%

“…In general, the circulating current-time dependence, which is purely harmonic in symmetrical case at ψ − = −π/2 is unharmonic at ψ * − = −π/2 for ∆v c = 0. This can be seen from expressions (32), (41). The current-time dependence becomes inclined (at ψ * − = −π/2) due to different rates of switching of the junctions v c1 = v c2 .…”

Section: 12mentioning

confidence: 85%

“…Perturbation analysis developed in the limit of small SQUID inductance l was shown to be well suited for study of some aspects of SQUID dynamics and characteristics like thermal escape problem [38], Shapiro steps [39], persistent current and magnetic susceptibility [40]. Though, study of time-averaged response for practical inductance values still requires numerical calculations [41].…”

Section: Introductionmentioning

confidence: 99%

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Analytical derivation of DC SQUID response

Soloviev

Klenov

Schegolev

et al. 2016

Supercond. Sci. Technol.

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We consider voltage and current responses formation in DC SQUID with overdamped Josephson junctions in resistive and superconducting state in the frame of resistively shunted junction (RSJ) model. For simplicity we neglect the junction capacitance and the noise effect. Explicit expressions for the responses in resistive state were obtained for a SQUID which is symmetrical with respect to bias current injection point. Normalized SQUID inductance l = 2eIcL/ (where Ic is the critical current of Josephson junction, L is the SQUID inductance, e is the electron charge and is the Planck constant) was assumed to be within the range l ≤ 1, subsequently expanded up to l ≈ 7 using two fitting parameters. SQUID current response in superconducting state was considered for arbitrary value of the inductance. Impact of small technological spread of parameters relevant for low-temperature superconductor (LTS) technology was studied with generalization of the developed analytical approach for a case of small difference of critical currents and shunt resistances of the Josephson junctions, and inequality of SQUID inductive shoulders for both resistive and superconducting states.Comparison with numerical calculation results shows that developed analytical expressions can be used in practical LTS SQUIDs and SQUID-based circuits design, e.g. large serial SQIF, drastically decreasing the time of simulation.PACS numbers: 85.25.Dq, 85.25.Am

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“…However, for the inductance value l ≈ 1 numerical calculation result becomes inconsistent compared to Ref. [40,41].…”

Section: Superconducting Statementioning

confidence: 81%

Section: 12mentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

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Analytical derivation of DC SQUID response

Soloviev

Klenov

Schegolev

et al. 2016

Supercond. Sci. Technol.

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“…A similar analysis, for slowly varying fields and B A, has already been carried out in [7]. In the present paper, we make a careful analysis of the problem starting from the SQUID dynamics written in terms of the variables φ and ψ as follows [7]:…”

Section: Squid Dynamicsmentioning

confidence: 84%

“…We therefore need to consider again all steps in [7], having care to integrate opportunely the right-hand-side term of (5b), in order to obtain a solution for ψ in terms of the superconducting phase by perturbation analysis on β for arbitrary values of A and B. In this way, the effective dynamics for φ can be found when the solution for ψ is substituted in the cosine term of (5a).…”

Section: Squid Dynamicsmentioning

confidence: 99%

Equivalent Single-Junction Model of Superconducting Quantum Interference Devices in the Presence of Time-Varying Fields

Luca

2011

ISRN Condensed Matter Physics

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The reduced dynamical model of a two-junction quantum interference device is generalized to the case of time-varying externally applied fluxes with a d. c. component and an oscillating addendum whose frequency is comparable with the inverse of the characteristic time for flux dynamics within the superconducting system. From the resulting effective single-junction model for null inductance of the superconducting loop, it can be seen that the critical current of the device shows a dependence on the frequency and amplitude of the oscillating part of the applied flux. It can therefore be argued that the latter quantities can be considered as control parameters in the voltage versus applied flux curves of superconducting quantum interference devices.

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Critical current and a.c. susceptibility in two-junction quantum interferometers in the presence of oscillating magnetic fields

Luca¹,

Romeo²

2007

Physica C: Superconductivity and its Applications

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Pertubation analysis of the dynamical behavior of two-junction interferometers

Cited by 8 publications

References 6 publications

Analytical derivation of DC SQUID response

Analytical derivation of DC SQUID response

Equivalent Single-Junction Model of Superconducting Quantum Interference Devices in the Presence of Time-Varying Fields

Critical current and a.c. susceptibility in two-junction quantum interferometers in the presence of oscillating magnetic fields

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