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Kitamura, Michihide; Irie, Atsushi; Oya, Gin‐ichiro

doi:10.1103/physrevb.76.064518

Cited by 13 publications

(26 citation statements)

References 33 publications

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“…As a result, they found that there is a chaotic region in which Shapiro steps cannot be observed. The chaotic region is found between f RC and f p , i.e., f RC ≤ f r ≤ f p .I n my previous paper, [35] I have already pointed out that the lower frequency f RC of the chaotic region is given by…”

Section: Introductionmentioning

confidence: 93%

“…(27) and (28), I found that the time resolution ∆t with the value of 1 × 10 −14 s(=10fs) is small enough to resolve the structure of the kernel. [35] The autocorrelation < …”

Section: Introductionmentioning

confidence: 99%

“…(18) is a universal curve as a function of only the normalized external dc i 0 so that this curve is always valid for all the IJJs in BSCCO characterized by the d x 2 −y 2 symmetry superconducting gap. [35] Namely, if the no shunt case, i.e., the case of R shunt → ∞, is considered, then the McCumber parameter of BSCCO is given as a function of only the i 0 such as µ −2 (i 0 ). [35] Here I wish to say that when the effect of electric field coupling is not considered, the plasma frequencies ratio γ p is equal to 1 and Kautz and Monaco extensively studied the nature of Shapiro steps on the SIS Josephson junction [45].…”

Section: Introductionmentioning

confidence: 99%

“…[35] Namely, if the no shunt case, i.e., the case of R shunt → ∞, is considered, then the McCumber parameter of BSCCO is given as a function of only the i 0 such as µ −2 (i 0 ). [35] Here I wish to say that when the effect of electric field coupling is not considered, the plasma frequencies ratio γ p is equal to 1 and Kautz and Monaco extensively studied the nature of Shapiro steps on the SIS Josephson junction [45]. As a result, they found that there is a chaotic region in which Shapiro steps cannot be observed.…”

Section: Introductionmentioning

confidence: 99%

“…[35] Note that the simplest form of i CP (x, t) is sin ϕ ℓ (x, t). The external current j ext (t) is the same as the normalized external current i ext (t) presented in my previous paper, that is, j ext (t)=i 0 + i r sin ω r t + i noise (t, T) ≡ j ext (t, T) ,…”

Section: Introductionmentioning

confidence: 99%

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Shapiro Steps in BSCCO Intrinsic Josephson Junctions

Kitamura¹

2012

Superconductors - Properties, Technology, and Applications

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8www.intechopen.com 2 Will-be-set-by-IN-TECH BSCCO consists of a stack of SIS-type IJJs, so it is expected that the BSCCO should be regarded as a good sample to study the fluxon dynamics in the SIS Josephson junctions. Actually, there are many excellent works for the effect of magnetic field on the BSCCO IJJs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] It is sure that a pioneering work done by Sakai, Bodin and Pedersen(SBP) [20] is the starting point to understand the fluxon dynamics in BSCCO IJJs with a stacking structure.We adopt here a unified theory proposed by Machida and Sakai (MS) [29], which includes both the electric and magnetic field couplings between neighboring IJJs in multistacked structure. The MS-unified theory is a further extension of the model proposed by Sakai, Bodin and Pedersen (SBP).[20] Present paper is mainly based on my previous jobs. [35,36] TheoryLet us consider a stacked system consisting of N-identical SIS-Josephson junctions such as IJJs in BSCCO high-T c superconductors, and set spacial coodinates x, y and z parallel to a, b and c axes of a BSCCO single crystal. If the external magnetic induction B ext is selected parallel to y-axis, i.e., B ext =(0, B ext ,0), and the spacial variation of the gauge-invariant phase difference ϕ ℓ for the ℓ-th SIS Josephson junction is assumed as a function of only x, then the ϕ ℓ (x, t) as a function of x and real time t satisfies a following coupled sine-Gordon(CSG) equation with a matrix form.[29]where λ J is the Josephson penetration depth given by Φ 0 /2πµ 0 d ′ L J c using a flux quantum Φ 0 , the vacuum permeability µ 0 and the critical current density J c . The Σ c and Σ L are matrices describing the electric and magnetic interactions between neighboring Josephson junctions and are written aswhere the coupling constants Σ c and Σ L are given by [29]The d ′ c and d ′ L are the effective electric and magnetic thickness given byusing electrode thickness w and barrier thickness d. The λ e and λ L are the Debye screening length and the London penetration depth, respectively. The J ℓ (x, t) in Eq.(2) is the current defined by j

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Section: Introductionmentioning

confidence: 93%

“…(27) and (28), I found that the time resolution ∆t with the value of 1 × 10 −14 s(=10fs) is small enough to resolve the structure of the kernel. [35] The autocorrelation < …”

Section: Introductionmentioning

confidence: 99%