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1

De Luca, Roberto. "Dressed Josephson junction network models." Physica C: Superconductivity 408-410 (August 2004): 614–15. http://dx.doi.org/10.1016/j.physc.2004.03.049.

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2

Finger, Lutz. "The Josephson junction circuit family: network theory." International Journal of Circuit Theory and Applications 28, no. 4 (2000): 371–420. http://dx.doi.org/10.1002/1097-007x(200007/08)28:4<371::aid-cta114>3.0.co;2-o.

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3

Ramakrishnan, Balamurali, Ramesh Ramamoorthy, Chunbiao Li, Akif Akgul, and Karthikeyan Rajagopal. "Spiral Waves in a Lattice Array of Josephson Junction Chaotic Oscillators with Flux Effects." Mathematical Problems in Engineering 2021 (January 13, 2021): 1–9. http://dx.doi.org/10.1155/2021/8848914.

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Josephson junction devices play a significant role in various physical nonlinear systems because of their complex characteristics. Chaotic phenomenon in various types of Josephson junction devices has been widely reported, but many of those literature studies exempted the analysis into multistability and megastability features of the device. In this work, we investigate the network behaviour using a type of Josephson junction-memristor (JJM) device considering the feedback flux effects while modelling. We have considered both AC- and DC-type external excitation currents, and while considering
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4

GIUSIANO, GIOVANNI, FRANCESCO P. MANCINI, PASQUALE SODANO, and ANDREA TROMBETTONI. "TOPOLOGY INDUCED MACROSCOPIC QUANTUM COHERENCE IN JOSEPHSON JUNCTION NETWORKS." International Journal of Modern Physics B 18, no. 04n05 (2004): 691–704. http://dx.doi.org/10.1142/s0217979204024318.

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We argue that Josephson junction networks may be engineered to allow for the emergence of new and robust quantum coherent states. We provide a rather intuitive argument showing how the change in topology may affect the quantum properties of a bosonic particle hopping on a network. As a paradigmatic example, we analyze in detail the quantum and thermodynamical properties of non-interacting bosons hopping on a comb graph. We show how to explicitly compute the inhomogeneities in the distribution of bosons along the comb's fingers, evidencing the effects of the topology induced spatial Bose–Einste
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5

Mohamed, M. A. K., I. Isaac та J. Jung. "Josephson junction network and Josephson flux pinnning in Y1Ba2Cu3O7−δ granular superconductors". Physica C: Superconductivity 235-240 (грудень 1994): 3333–34. http://dx.doi.org/10.1016/0921-4534(94)91193-2.

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6

Nguyen, Thien Bao Tat. "Adaptive MIMO Controller Design for Chaos Synchronization in Coupled Josephson Junctions via Fuzzy Neural Networks." Journal of Advanced Engineering and Computation 1, no. 1 (2017): 80. http://dx.doi.org/10.25073/jaec.201711.52.

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In this paper, we have discussed the synchronization between coupled Josephson Junctions which experience different chaotic oscillations. Due to potential high-frequency applications, the shunted nonlinear resistive-capacitive-inductance junction (RCLSJ) model of Josephson junction was considered in this paper. In order to obtain the synchronization, an adaptive MIMO controller is developed to drive the states of the slave chaotic junction to follow the states of the master chaotic junction. The developed controller has two parts: the fuzzy neural controller and the sliding mode controller. Th
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7

ROTOLI, G., C. DE LEO, G. GHIGO, L. GOZZELINO, and C. CAMERLINGO. "JOSEPHSON JUNCTION NETWORK AS A TOOL TO SIMULATE INTERGRAIN SUPERCONDUCTING CHANNELS IN YBCO FILMS." International Journal of Modern Physics B 14, no. 25n27 (2000): 3068–73. http://dx.doi.org/10.1142/s0217979200003320.

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Recent considerations on the physics of YBa 2 Cu 3 O 7-δ films made possible explaining their transport properties as flow of supercurrents through links between the granular structure of the film. The present work deals with the analysis of the Josephson junction network as a discrete set of parallel junctions (1D array) in quasi-static conditions and is aimed to compare the results of the simulations with the experimental findings, in particular with the plateau-like features in the critical current dependence on the magnetic field. Different regimes and vortex phases have been individuated
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8

Crescio, E., R. Gerbaldo, G. Ghigo, L. Gozzelino, E. Mezzetti, and B. Minetti. "Long Josephson Junctions Modulated by Defects and Superconducting Microdomains in YBCO Thin Films." International Journal of Modern Physics B 13, no. 09n10 (1999): 1207–14. http://dx.doi.org/10.1142/s0217979299001193.

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The critical current Jc of superconducting films is about two order of magnitude larger than that of single crystals. The dependence of such Jc on field depends on the presence and distribution of defects. We speculate that High Temperature Superconducting (HTS) films can be modeled as an agglomeration of islands coupled via Josephson contacts and then considered as a network of Long Josephson Junctions (LJJ) between superconducting islands. In order to check this hypothesis we further developed a model firstly introduced by Fehrenbacher based on the modulation of critical current densities in
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9

Kawaguchi, Takaaki. "Collective vortex pinning and flow in a Josephson junction network." Physica C: Superconductivity 412-414 (October 2004): 411–15. http://dx.doi.org/10.1016/j.physc.2003.12.049.

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10

Kawaguchi, Takaaki. "Complex dynamics of mode-locking in a Josephson junction network." Physica C: Superconductivity and its Applications 463-465 (October 2007): 266–70. http://dx.doi.org/10.1016/j.physc.2007.02.048.

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11

Pryadko, Leonid P., and Karén Chaltikian. "Network of Edge States: A Random Josephson Junction Array Description." Physical Review Letters 80, no. 3 (1998): 584–87. http://dx.doi.org/10.1103/physrevlett.80.584.

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12

ZHENG, XIAO-HU, MING YANG, PING DONG, and ZHUO-LIANG CAO. "IMPLEMENTING DEUTSCH–JOZSA ALGORITHM USING SUPERCONDUCTING QUBIT NETWORK." Modern Physics Letters B 22, no. 31 (2008): 3035–42. http://dx.doi.org/10.1142/s0217984908017540.

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An improved architecture, which performs a universal set of gates by current biasing of coupling Josephson junction, has been proposed. This improvement is necessary to the realization of a functional and scalable quantum computer. The proposed architecture is in line with current technology. Secondly, we investigate a scheme for implementing the Deutsch–Jozsa algorithm via the improved architecture. It is a simple, scalable and feasible scheme for the implementation of the Deutsch–Jozsa algorithm based on the current-controlled superconducting charge qubit network.
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13

Kawaguchi, T. "Directed motion of vortices in a current-driven Josephson junction network." Physica C: Superconductivity 469, no. 15-20 (2009): 1102–5. http://dx.doi.org/10.1016/j.physc.2009.05.209.

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14

Tuohimaa, A. "Magnetic flux penetration mechanisms in inductive three-dimensional Josephson-junction network." Physica B: Condensed Matter 284-288 (July 2000): 616–17. http://dx.doi.org/10.1016/s0921-4526(99)02246-2.

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15

Oppenlander, J., W. Guttinger, T. Traeuble, M. Keck, T. Doderer, and R. P. Huebener. "Two-dimensional Josephson junction network architectures for maximum microwave radiation emission." IEEE Transactions on Appiled Superconductivity 9, no. 2 (1999): 4337–40. http://dx.doi.org/10.1109/77.783985.

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16

Giuliano, Domenico, and Pasquale Sodano. "Competing boundary interactions in a Josephson junction network with an impurity." Nuclear Physics B 837, no. 3 (2010): 153–85. http://dx.doi.org/10.1016/j.nuclphysb.2010.04.022.

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17

De Luca, R., S. Pace, C. Auletta, and G. Raiconi. "Irreversible magnetic response of the simplest three-dimensional Josephson-junction network." Physical Review B 52, no. 10 (1995): 7474–81. http://dx.doi.org/10.1103/physrevb.52.7474.

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18

Luo, Sheng, Yusheng He, and C. E. Gough. "Glass transition related Josephson junction network model for Bi:2212 single crystal." Physica C: Superconductivity and its Applications 282-287 (August 1997): 2437–38. http://dx.doi.org/10.1016/s0921-4534(97)01285-9.

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19

Kawaguchi, Takaaki. "Mode-locking and dynamical correlation effects in a driven Josephson junction network." Physica C: Superconductivity and its Applications 445-448 (October 2006): 249–52. http://dx.doi.org/10.1016/j.physc.2006.04.005.

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20

Giuliano, Domenico, and Pasquale Sodano. "Pairing of Cooper pairs in a Josephson junction network containing an impurity." EPL (Europhysics Letters) 88, no. 1 (2009): 17012. http://dx.doi.org/10.1209/0295-5075/88/17012.

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21

Zhang, Ge, Fuqiang Wu, Tasawar Hayat, and Jun Ma. "Selection of spatial pattern on resonant network of coupled memristor and Josephson junction." Communications in Nonlinear Science and Numerical Simulation 65 (December 2018): 79–90. http://dx.doi.org/10.1016/j.cnsns.2018.05.018.

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22

De Luca, R. "Dressed Josephson junction network models and low-field magnetic response of high-Tc granular superconductors." Physica C: Superconductivity 400, no. 3-4 (2004): 153–59. http://dx.doi.org/10.1016/j.physc.2003.08.002.

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23

Kawaguchi, T. "Directed transport and complex dynamics of vortices in a Josephson junction network driven by modulated currents." Physica C: Superconductivity and its Applications 470, no. 20 (2010): 1133–36. http://dx.doi.org/10.1016/j.physc.2010.05.056.

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24

SUGAHANA, MASANORI, and NIKOLAI N. BOGOLUBOV. "QUANTUM INTERFERENCE OF ELECTRON SYSTEM IN 2D NETWORK OF CIRCULAR MOLECULAR ORBITS." Modern Physics Letters B 16, no. 10n11 (2002): 363–73. http://dx.doi.org/10.1142/s0217984902003877.

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Our theoretical study reports on the quantum interference effect expected to be found in the correlated state of the hole-doped electron system in 2D networks of circular molecular orbits, where the ground state of the system is described by a FQHE-like state. When the phase-correlation length λΘ is larger than the incompressibility length λQ, the system of tunneling-coupled 2 FQHE-like states shows the interference of the Josephson effect. On the other hand, when λQ &gt; λΘ, the system shows a dielectric interference effect analogous to the superconductor junction. In the film crystal of a mu
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25

Goteti, Uday S., Ivan A. Zaluzhnyy, Shriram Ramanathan, Robert C. Dynes, and Alex Frano. "Low-temperature emergent neuromorphic networks with correlated oxide devices." Proceedings of the National Academy of Sciences 118, no. 35 (2021): e2103934118. http://dx.doi.org/10.1073/pnas.2103934118.

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Neuromorphic computing—which aims to mimic the collective and emergent behavior of the brain’s neurons, synapses, axons, and dendrites—offers an intriguing, potentially disruptive solution to society’s ever-growing computational needs. Although much progress has been made in designing circuit elements that mimic the behavior of neurons and synapses, challenges remain in designing networks of elements that feature a collective response behavior. We present simulations of networks of circuits and devices based on superconducting and Mott-insulating oxides that display a multiplicity of emergent
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26

Bellver, Fernando Gimeno, Manuel Caravaca Garratón, Antonio Soto Meca, Juan Antonio Vera López, Juan L. G. Guirao, and Manuel Fernández-Martínez. "Applying the Network Simulation Method for testing chaos in a resistively and capacitively shunted Josephson junction model." Results in Physics 7 (2017): 813–22. http://dx.doi.org/10.1016/j.rinp.2017.01.041.

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27

Petrov, M. I., D. A. Balaev, K. A. Shaikhutdinov, and S. I. Popkov. "Anomalous transport properties of a paramagnetic NiTiO3 + HTSC two-phase system representing a random Josephson junction network." Journal of Experimental and Theoretical Physics Letters 75, no. 3 (2002): 138–41. http://dx.doi.org/10.1134/1.1469500.

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28

Bardalen, Eivind, Bjørnar Karlsen, Helge Malmbekk, Muhammed Nadeem Akram, and Per Ohlckers. "Evaluation of InGaAs/InP photodiode for high-speed operation at 4 K." International Journal of Metrology and Quality Engineering 9 (2018): 13. http://dx.doi.org/10.1051/ijmqe/2018015.

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An optically controlled high-speed current source located at 4 K is likely to improve the performance of pulse-driven Josephson junction arrays. A custom photodiode module with an Albis PDCS24L InGaAs/InP PIN photodiode is investigated in order to determine the suitability at 4 K. The DC and frequency response were tested at room temperature and at temperatures down to 4 K. For continuous wave optical input, photocurrents above 15 mA were produced at both room temperature and 4 K. I–V measurements show that the threshold voltage increased from 0.5 V at room temperature to 0.8 V at 4 K. The tra
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29

Balaev, D. A., S. I. Popkov, K. A. Shaihutdinov, and M. I. Petrov. "The mechanisms responsible for broadening of the resistive transition under magnetic field in the Josephson junction network realized in bulk YBCO+CuO composites." Physica C: Superconductivity and its Applications 435, no. 1-2 (2006): 12–15. http://dx.doi.org/10.1016/j.physc.2006.01.008.

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30

Díaz M., Jose A., Oscar Téquita, and Fernando Naranjo. "Neuronal Synchronization of Electrical Activity, Using the Hodgkin-Huxley Model and RCLSJ Circuit." Ingeniería y Ciencia 12, no. 23 (2016): 93–106. http://dx.doi.org/10.17230/ingciencia.12.23.5.

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We simulated the neuronal electrical activity using the Hodgkin-Huxleymodel (HH) and a superconductor circuit, containing Josephson junctions. These HH model make possible simulate the main neuronal dynamics characteristics such as action potentials, firing thres hold and refractory period.The purpose of the manuscript is show a method to syncronize a RCL-shunted Josephson junction to a neuronal dynamics represented by the HH model. Thus the RCLSJ circuit is able to mimics the behavior of the HH neuron. We controlated the RCLSJ circuit, using and improved adaptative track scheme, that with the
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31

MANCINI, F. P., P. SODANO, and A. TROMBETTONI. "SPATIALLY INHOMOGENEOUS SUPERCONDUCTING AND BOSONIC NETWORKS WITH EMERGENT COMPLEX BEHAVIORS." International Journal of Modern Physics B 21, no. 12 (2007): 1923–49. http://dx.doi.org/10.1142/s0217979207037181.

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The spontaneous emergence of enhanced responses and local orders are properties often associated with complex matter where nonlinearities and spatial inhomogeneities dominate. We discuss these phenomena in quantum devices realized with superconducting Josephson junction networks and cold atoms in optical lattices. We evidence how the pertinent engineering of the network's shape induces the enhancement of the zero-voltage Josephson critical currents in superconducting arrays as well as the emergence of spatially localized condensates for cold atoms in inhomogeneous optical lattices.
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32

Zwerger, W. "Josephson-junction networks and roughening problems." Zeitschrift f�r Physik B Condensed Matter 78, no. 1 (1990): 111–23. http://dx.doi.org/10.1007/bf01317363.

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33

GHIGO, G., A. CHIODONI, R. GERBALDO, et al. "CORRELATION BETWEEN STRUCTURE AND MAGNETIC TRANSPORT MECHANISMS IN YBCO FILMS." International Journal of Modern Physics B 14, no. 25n27 (2000): 2773–78. http://dx.doi.org/10.1142/s0217979200002880.

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This paper studies the striking correlation between nanosized structural patterns in YBCO films and macroscopic transport current. A nanosized network of parallel Josephson junctions laced by insulating dislocations is almost mimicking the grain boundary structural network. It contributes to the macroscopic properties and accounts for the strong intergranular pinning across the film in the intermediate temperature range. The correlation between the two networks enables to find out an outstanding scaling law in the (Jc, B) plane and to determine meaningful parameters concerning the matching bet
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34

FIDALEO, FRANCESCO, DANIELE GUIDO, and TOMMASO ISOLA. "BOSE–EINSTEIN CONDENSATION ON INHOMOGENEOUS AMENABLE GRAPHS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, no. 02 (2011): 149–97. http://dx.doi.org/10.1142/s0219025711004389.

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We investigate the Bose–Einstein condensation on nonhomogeneous amenable networks for the model describing arrays of Josephson junctions. The resulting topological model, whose Hamiltonian is the pure hopping one given by the opposite of the adjacency operator, also has a mathematical interest in itself. We show that for the nonhomogeneous networks like the comb graphs, particles condensate in momentum and configuration space as well. In this case different properties of the network, of geometric and probabilistic nature, such as the volume growth, the shape of the ground state, and the transi
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35

Sodano, P., A. Trombettoni, P. Silvestrini, R. Russo, and B. Ruggiero. "Inhomogeneous superconductivity in comb-shaped Josephson junction networks." New Journal of Physics 8, no. 12 (2006): 327. http://dx.doi.org/10.1088/1367-2630/8/12/327.

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36

Krech, W., and K. Yu Platov. "Coherent states of two‐dimensional Josephson‐junction networks." Journal of Applied Physics 77, no. 4 (1995): 1640–45. http://dx.doi.org/10.1063/1.358920.

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37

Kawaguchi, Takaaki. "Phase dynamics in current-driven Josephson junction networks." Computer Physics Communications 147, no. 1-2 (2002): 617–20. http://dx.doi.org/10.1016/s0010-4655(02)00340-5.

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38

Ottaviani, I., M. Lucci, R. Menditto, et al. "Characterization of anomalous pair currents in Josephson junction networks." Journal of Physics: Condensed Matter 26, no. 21 (2014): 215701. http://dx.doi.org/10.1088/0953-8984/26/21/215701.

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39

Kawaguchi, Takaaki. "Numerical simulation of collective phenomena in Josephson junction networks." Computational Materials Science 30, no. 3-4 (2004): 448–52. http://dx.doi.org/10.1016/j.commatsci.2004.02.034.

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40

Hasuo, Shinya, Takeshi Imamura, and Norio Fujimaki. "Recent advances in Josephson junction devices." Microprocessors and Microsystems 14, no. 2 (1990): 67–73. http://dx.doi.org/10.1016/0141-9331(90)90140-q.

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41

de Luca, R., T. Di Matteo, A. Tuohimaa, and J. Paasi. "Current-biased inductive cubic networks of Josephson junctions." Philosophical Magazine B 80, no. 5 (2000): 897–905. http://dx.doi.org/10.1080/01418630008221956.

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42

De Luca, T. Di Matteo, A. Tuohimaa,, R. "Current-biased inductive cubic networks of Josephson junctions." Philosophical Magazine B 80, no. 5 (2000): 897–905. http://dx.doi.org/10.1080/014186300254853.

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43

Bryksin, V. V., A. V. Goltsev, and S. N. Dorogóvtsev. "Properties of superconducting networks with large Josephson junctions." Physica C: Superconductivity 160, no. 2 (1989): 103–13. http://dx.doi.org/10.1016/0921-4534(89)90177-9.

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44

Kawaguchi, Takaaki. "Plastic vortex flow in current-driven disordered Josephson junction networks." Physica C: Superconductivity 388-389 (May 2003): 669–70. http://dx.doi.org/10.1016/s0921-4534(02)02440-1.

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45

Benz, S. P., M. G. Forrester, M. Tinkham, and C. J. Lobb. "Positional disorder in superconducting wire networks and Josephson junction arrays." Physical Review B 38, no. 4 (1988): 2869–72. http://dx.doi.org/10.1103/physrevb.38.2869.

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46

Yagi, Ryuta, Takahide Yamaguchi, and Shun-ichi Kobayashi. "Edge Effect in Two-Dimensional Network of Small Josephson Junctions." Journal of the Physical Society of Japan 65, no. 8 (1996): 2365–66. http://dx.doi.org/10.1143/jpsj.65.2365.

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47

Yagi, Ryuta, Takahide Yamaguchi, Hideto Kazawa, and Shun-ichi Kobayashi. "Superconductor-Insulator Transition in Two-Dimensional Network of Josephson Junctions." Journal of the Physical Society of Japan 65, no. 1 (1996): 36–38. http://dx.doi.org/10.1143/jpsj.65.36.

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48

Kawaguchi, T. "Current-driven dynamics in Josephson junction networks with an asymmetric potential." Physica C: Superconductivity 468, no. 15-20 (2008): 1329–32. http://dx.doi.org/10.1016/j.physc.2008.05.047.

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49

Tuohimaa, A., J. Paasi, R. De Luca, and T. Di Matteo. "Three-dimensional Josephson junction networks with coupling inhomogeneities in magnetic fields." Physica C: Superconductivity 398, no. 1-2 (2003): 41–48. http://dx.doi.org/10.1016/s0921-4534(03)01241-3.

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50

Giuliano, Domenico, and Pasquale Sodano. "Realization of a two-channel Kondo model with Josephson junction networks." EPL (Europhysics Letters) 103, no. 5 (2013): 57006. http://dx.doi.org/10.1209/0295-5075/103/57006.

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