Array of Josephson junctions with a nonsinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors

Carbone, Anna Filomena; Gilli, Marco; Mazzetti, P.; Ponta, Linda

doi:10.1063/1.3525984

Cited by 7 publications

(4 citation statements)

References 86 publications

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“…Arrays of Josephson junctions with well controlled parameters are a very active field of research. As well as being of interest in their own right, they are also being used to model complex phenomena as a tool to investigate the effects of disorder in granular films [48,49,50,51,52,53,54,55,56,57,58,59,60]. This work is aimed at investigating the role of disorder in granular superconductors with different intergrain coupling, due to the presence of either strong or weak links.…”

Section: Introductionmentioning

confidence: 99%

Resistive transition in disordered superconductors with varying intergrain coupling

Ponta

Carbone

Gilli

2010

Supercond. Sci. Technol.

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The effect of disorder is investigated in granular superconductive materials with strong and weak links. The transition is controlled by the interplay of the tunneling g and intragrain g intr conductances, which depend on the strength of the intergrain coupling. For g ≪ g intr , the transition involves first the grain boundary, while for g ∼ g intr the transition occurs into the whole grain. The different intergrain coupling is considered by modelling the superconducting material as a disordered network of Josephson junctions. Numerical simulations show that on increasing the disorder, the resistive transition occurs for lower temperatures and the curve broadens. These features are enhanced in disordered superconductors with strong links. The different behaviour is further checked by estimating the average network resistance for weak and strong links in the framework of the effective medium approximation theory. These results may be relevant to shed light on long standing puzzles as: (i) enhancement of the superconducting transition temperature of many metals in the granular states; (ii) suppression of superconductivity in homogeneously disordered films compared to standard granular systems close to the metal-insulator transition; (iii) enhanced degradation of superconductivity by doping and impurities in strongly linked materials, such as magnesium diboride, compared to weakly-linked superconductors, such as cuprates.

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Section: Introductionmentioning

confidence: 99%

Resistive transition in disordered superconductors with varying intergrain coupling

Ponta

Carbone

Gilli

2010

Supercond. Sci. Technol.

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“…Figure 2 shows the comparison of the functions in Equations ( 8)- (10). Note that, for p = 1, Equation (9) becomes 4x(1 − x), i.e., Joglekar's function is four times the Strukov's function given by Equation (8), while, for p = 1, Prodromakis's function in Equation ( 10) is exactly the same as Strukov's function in Equation (8). The basic noticeable difference between these functions is the g max = g(x = 0.5) scaleability, where g max is the value of g(x) when x = 0.5.…”

Section: Memristor Modelingmentioning

confidence: 99%

“…thus representing the amount of charge required to move the boundary between the doped and the undoped regions from x = 0 to x = 1, and vice-versa. Memristor becomes an important concept in Physics and electronics for design and control of quantum memristor devices [7,8] which exhibit superconducting characteristics based on Josephson junction with quasiparticle tunneling. Following the discovery of TiO 2 memristor, another sprouted field of interest is the memristor modeling in SPICE useful for circuit simulations [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Comparison of the Performance of the Memristor Models in 2D Cellular Nonlinear Network

et al. 2021

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Many charge controlled models of memristor have been proposed for various applications. First, the original linear dopant drift model suffers discontinuities close to the memristor layer boundaries. Then, the nonlinear dopant drift model improves the memristor behavior near these boundaries but lacks physical meaning and fails for some initial conditions. Finally, we present a new model to correct these defects. We compare these three models in specific situations: (1) when a sine input voltage is applied to the memristor, (2) when a constant voltage is applied to it, and (3) how a memristor transfers charges in a circuit point of view involving resistance-capacitance network. In the later case, we show that our model allows for study of the memristor behavior with phase portraits for any initial conditions and without boundary limitations.

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“…Today, given the scope and scale of the world's future Emerging Energy Web needs, a technology with the capacity to have a significant impact necessarily involves vast quantities of material. Unconventional computational schemes, novel physical phenomena, materials and devices (see for example [67,68,66,69,70,71,72]) should be devised to improve the efficiency at the core of the Emerging Energy Web. Improvements of the energy performances at the microscopic level would then imply a scaling up at the higher levels of the future Emerging Energy Web.…”

Section: Micro-and Nano-scalesmentioning

confidence: 99%

The emerging energy web

Ajmone-Marsan

Arrowsmith

Breymann

et al. 2012

Eur. Phys. J. Spec. Top.

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There is a general need of elaborating energy-effective solutions for managing our increasingly dense interconnected world. The problem should be tackled in multiple dimensions -technology, society, economics, law, regulations, and politics-at different temporal and spatial scales. Holistic approaches will enable technological solutions to be supported by socio-economic motivations, adequate incentive regulation to foster investment in green infrastructures coherently integrated with adequate energy provisioning schemes. In this article, an attempt is made to describe such multidisciplinary challenges with a coherent set of solutions to be identified to significantly impact the way our interconnected energy world is designed and operated. a

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Array of Josephson junctions with a nonsinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors

Cited by 7 publications

References 86 publications

Resistive transition in disordered superconductors with varying intergrain coupling

Resistive transition in disordered superconductors with varying intergrain coupling

Comparison of the Performance of the Memristor Models in 2D Cellular Nonlinear Network

The emerging energy web

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