Superconductive Granular Thin Film and Phase Quantum Tunnel Device

Sugahara, Masanori

doi:10.1143/jjap.24.674

Cited by 17 publications

(8 citation statements)

References 8 publications

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“…In the regime where the Coulomb and Josephson energies are of comparable magnitude, there exists an intriguing analogy between single charges and vortices in the system. This duality has also been discussed by others [5,7,8]. The IS transition can in fact also be described in terms of Bose condensation of charges.…”

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confidence: 61%

Field-induced superconductor-to-insulator transitions in Josephson-junction arrays

et al. 1992

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We have studied phase transitions in fabricated 2D arrays of Josephson junctions where the charging and Josephson coupling energies are about equal. We find a crossover from superconducting behavior in low fields to insulating behavior for fields above a critical value of 0.1-0.2 flux quanta per unit cell. The quantitative aspects agree well with predictions from a recent theory for quantum vortex motion by M. P. A. Fisher and with measurements on films. Similar transitions are found around values /=/i/m, where/is the flux per cell and «,w = 1,2,3. The field dependence is periodic in/with period 1.

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supporting

confidence: 61%

Field-induced superconductor-to-insulator transitions in Josephson-junction arrays

et al. 1992

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“…Superconducting state is characterised by an order parameter, Ψ = |Ψ| exp(iϕ), where the phase, ϕ, is well defined across the whole system. The uncertainties in the phase ∆ϕ and the number of Cooper pairs in the condensate, N s = 2|Ψ| 2 , compete according to the Heisenberg uncertainty principle ∆ϕ∆N ≥ 1 [1,6,7,8]. This brings about the basic property of a superconductor, its ability of carrying a loss-free current.…”

Section: Superconductivity and Superinsulation From The Uncertainty Pmentioning

confidence: 99%

Superinsulator–superconductor duality in two dimensions

2013

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For nearly a half century the dominant orthodoxy has been that the only effect of the Cooper pairing is the state with zero resistivity at finite temperatures, superconductivity. In this work we demonstrate that by the symmetry of the Heisenberg uncertainty principle relating the amplitude and phase of the superconducting order parameter, Cooper pairing can generate the dual state with zero conductivity in the finite temperature range, superinsulation. We show that this duality realizes in the planar Josephson junction arrays (JJA) via the duality between the Berezinskii-Kosterlitz-Thouless (BKT) transition in the vortex-antivortex plasma, resulting in phase-coherent superconductivity below the transition temperature, and the charge-BKT transition occurring in the insulating state of JJA and marking formation of the low-temperature charge-BKT state, superinsulation. We find that in disordered superconducting films that are on the brink of superconductor-insulator transition the Coulomb forces between the charges acquire two-dimensional character, i.e. the corresponding interaction energy depends logarithmically upon charge separation, bringing the same vortex-charge-BKT transition duality, and realization of superinsulation in disordered films as the low-temperature charge-BKT state. Finally, we discuss possible applications and utilizations of superconductivity-superinsulation duality.

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“…14,33,34 When only C 0 is considered 2e-charge pairs interact logarithmically over a normalized screening length of ͱC/C 0 . In our arrays, ͱC/C 0 Ϸ10 so that the KTB transition will be smeared out.…”

Section: S-i Transitions As a Function Of E C /E Jmentioning

confidence: 99%

Quantum phase transitions in two dimensions: Experiments in Josephson-junction arrays

et al. 1996

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We have studied two-dimensional superconducting networks coupled by Josephson junctions in the regime where the Josephson coupling energy is comparable in magnitude to the capacitive energy of charging an island with a Cooper pair. We have mapped out the dependence of quantum phase transitions on the ratio of these two energies ͑for different values of the applied magnetic field͒ and on the applied field for arrays both with square and triangular cells. Our experimental results are compared with existing theoretical predictions.

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Superconductive Granular Thin Film and Phase Quantum Tunnel Device

Cited by 17 publications

References 8 publications

Field-induced superconductor-to-insulator transitions in Josephson-junction arrays

Field-induced superconductor-to-insulator transitions in Josephson-junction arrays

Superinsulator–superconductor duality in two dimensions

Quantum phase transitions in two dimensions: Experiments in Josephson-junction arrays

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