Shapiro steps in Bi2Sr2CaCu2O8+δ intrinsic Josephson junctions in magnetic field

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

doi:10.1063/1.2978366

Cited by 5 publications

(7 citation statements)

References 36 publications

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“…Conclusion (II) obtained here is the same as a previous statement such that in the BSCCO IJJs with a stacking structure, there are considerable magnetic interactions between neighboring Josephson junctions when α = 0. [36] In order to see the effect of the F-layer in the SFS-junction to the I-V characteristics of BSCCO IJJs with a stacking structure, I have calculated the I-V characteristics as a function of χ ℓ (d F ) defined in Eq. (16).…”

Section: Discussionmentioning

confidence: 99%

“…In my previous paper, [36] I have studied the effect of N on the I-V characteristics very carefully. The calculated results have told us that (I) a stacking system consisting of 5 or 6-identical SIS Josephson junctions is enough to see the I-V characteristics of BSCCO IJJs with odd or even number of junctions, and (II) if the stacked system consists of 5 junctions, then a flux quantum enters an insulating layer of the 3@5 central junction, but if the system consists of 6 junctions, then two flux quanta must enter the insulating layers in such a way that one flux quantum enters the insulating layer of 3@6 junction and the other the 4@6 one, because of its symmetry.…”

Section: The Values Of λmentioning

confidence: 99%

“…In my previous paper, [36] I have calculated the I-V characteristics for three shapes (L x , L y )=( 2.5, 10), (5, 5) and (10, 2.5) in µm with the same junction cross section S(= L x L y )=25µm 2 . The calculated results have told us that the overall profiles of the I-V characteristics calculated for the same external magnetic induction are fairly similar each other.…”

Section: Effect Of L Xmentioning

confidence: 99%

“…This fact means that the effect of electric field coupling, the charge coupling in other words, could not be so crucial in BSCCO IJJs. In my previous paper, [36] I have checked this point quantitatively, and found that the effect of charge coupling is not crucial in the BSCCO IJJs. In the present calculations, therefore, γ p is set to 1 and Σ c is set to 1.…”

Section: Calculationmentioning

confidence: 99%

“…In my previous papers, [35,36] I extensively studied the effect of the SR shunt -product to the I-V characteristics. In the present paper, therefore, only the conclusions obtained are briefly presented.…”

Section: Effect Of Sr Shunt -Productmentioning

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: Discussionmentioning

confidence: 99%

Section: The Values Of λmentioning

confidence: 99%

Section: Effect Of L Xmentioning

confidence: 99%

Section: Calculationmentioning

confidence: 99%

Section: Effect Of Sr Shunt -Productmentioning

confidence: 99%

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