Superconductor-Insulator Transition in a Two-Dimensional Array of Resistively Shunted Small Josephson Junctions

Yamaguchi, Takahide; Yagi, Ryuta; Kanda, Akinobu; Ootuka, Youiti; Kobayashi, Shun–ichi

doi:10.1103/physrevlett.85.1974

Cited by 58 publications

(77 citation statements)

References 19 publications

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“…11,[37][38][39][40][41][42][43][44][45][46][47] Experimental studies of one and two dimensional arrays of large superconducting grains coupled by dissipative Josephson junctions, agree qualitatively with results of the theoretical analyses. 46,[48][49][50][51][52][53][54][55][56][57][58] The understanding developed from studying the destruction of superconductivity by quantum fluctuations in arrays of Josephson junctions has became a useful paradigm for more general considerations of quantum phase transitions in dissipative environments. In general, dissipation suppresses certain types of quantum fluctuations and thus can favor states with spontaneously broken symmetries, such as superconductivity.…”

Section: A Motivationmentioning

confidence: 99%

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

et al. 2007

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The interplay of quantum fluctuations and dissipation in chains of mesoscopic superconducting grains is analyzed and the results are applied to nanowires. It is shown that in one dimensional arrays of resistively shunted Josephson junctions, the superconducting-normal charge relaxation within the grains plays an important role. At zero temperature, two superconducting phases can exist, depending primarily on the strength of the dissipation. In the fully superconducting phase ͑FSC͒, each grain acts superconducting, and the coupling to the dissipative conduction is important. In the SC Ã phase, the dissipation is irrelevant at long wavelengths. The transition between these two phases is driven by quantum phase slip dipoles, and is primarily local, with continuously varying critical exponents. In contrast, the transition from the SC Ã phase to the normal metallic phase is a Kosterlitz-Thouless transition with global character ͑i.e., determined by the field behavior at large wavelengths͒. Most interesting is the transition from the FSC phase directly to the normal phase: this transition, which has mixed local and global characteristics, can be one of three distinct types. The corresponding segments of the phase boundary come together at bicritical points. The zero-temperature phase diagram, as well as the finite-temperature scaling behavior are inferred from both weak and strong coupling renormalization group analyses. At intermediate temperatures, near either superconductor-to-normal phase transition, there are regimes of super-metallic behavior, in which the resistivity first decreases gradually with decreasing temperature before eventually increasing as temperature is lowered further. The results on chains of Josephson junctions are extended to continuous superconducting nanowires and the subtle issue of whether these can exhibit an FSC phase is considered. Potential relevance to superconductor-metal transitions in other systems is also discussed.

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Section: A Motivationmentioning

confidence: 99%

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

et al. 2007

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“…Theory and experiment on fabricated arrays show that they undergo an insulator to superconductor transition when the shunt resistance is comparable to R Q and the superconducting islands are in the extreme quantum limit, where charging energies are large. 28,29 The islands evident in the images of the NHC films are small enough to be in the extreme quantum limit. The weak links between the islands probably have the low energy degrees of freedom necessary to cause dissipation.…”

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confidence: 99%

Cooper-pair insulator phase in superconducting amorphous Bi films induced by nanometer-scale thickness variations

et al. 2011

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“…(1.3) is present through a variable shunt resistance, the quantum phase fluctuations are decreased by the dissipation so that the BKT transition temperature rises. This is well reproduced by PQSCHA approach [4] and turns out to be in qualitative agreement with recent experiments [5]. As shown in Fig.…”

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confidence: 90%

“…[3] and Ref. [5], respectively, where an increasing of the BKT transition temperature was found for increasing dissipation. This can be easily understood taking into account that the dissipative term (1.3) results from the coupling of the phase ϕ i with environmental variables (the degrees of freedom of the dissipative bath), constituting an implicit measurement of ϕ i .…”

Section: The Modelmentioning

confidence: 80%

Berezinskii-Kosterlitz-Thouless Transition in Josephson Junction Arrays

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Cuccoli²,

Fubini³

et al.

NATO Science Series II: Mathematics, Physics and Chemistry

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The quantum XY model shows a Berezinskii-Kosterlitz-Thouless (BKT) transition between a phase with quasi long-range order and a disordered one, like the corresponding classical model. The effect of the quantum fluctuations is to weaken the transition and eventually to destroy it. However, in this respect the mechanism of disappearance of the transition is not yet clear. In this work we address the problem of the quenching of the BKT in the quantum XY model in the region of small temperature and high quantum coupling. In particular, we study the phase diagram of a 2D Josephson junction array, that is one of the best experimental realizations of a quantum XY model. A genuine BKT transition is found up to a threshold value g ⋆ of the quantum coupling, beyond which no phase coherence is established. Slightly below g ⋆ the phase stiffness shows a reentrant behavior at lowest temperatures, driven by strong nonlinear

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Superconductor-Insulator Transition in a Two-Dimensional Array of Resistively Shunted Small Josephson Junctions

Cited by 58 publications

References 19 publications

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

Superconductor-to-normal transitions in dissipative chains of mesoscopic grains and nanowires

Cooper-pair insulator phase in superconducting amorphous Bi films induced by nanometer-scale thickness variations

Berezinskii-Kosterlitz-Thouless Transition in Josephson Junction Arrays

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