By Iman Askerzade, Ali Bozbey, Mehmet Cantürk
ISBN-10: 331948432X
ISBN-13: 9783319484327
ISBN-10: 3319484338
ISBN-13: 9783319484334
In this booklet new experimental investigations of houses of Josephson junctions and platforms are explored with assistance from contemporary advancements in superconductivity. the speculation of the Josephson impact is gifted making an allowance for the impression of multiband and anisotropy results in new superconducting compounds. Anharmonicity results in current-phase relation on Josephson junctions dynamics are mentioned. fresh experiences in analogue and electronic superconductivity electronics are offered. subject matters of detailed curiosity comprise resistive unmarried flux quantum good judgment in electronic electronics. software of Josephson junctions in quantum computing as superconducting quantum bits are analyzed. specific recognition is given to figuring out chaotic behaviour of Josephson junctions and structures. The booklet is written for graduate scholars and researchers within the box of utilized superconductivity.
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During this ebook new experimental investigations of homes of Josephson junctions and platforms are explored with assistance from contemporary advancements in superconductivity. the idea of the Josephson impact is gifted considering the effect of multiband and anisotropy results in new superconducting compounds.
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Extra info for Modern Aspects of Josephson Dynamics and Superconductivity Electronics
Sample text
88), the Josephson energy EJ is renormalized by the zero-point motion of phase and the renormalized one is decreased from the bare one because ε > 0 Fig. 43 Schematic view of Single-Band/ I /Two-Band JJ 46 1 Foundations of Josephson Junction Dynamics Fig. 44 Ratio of Γ /Γ0 as function of bias current in Single-Band/ I /Two-Band JJ Fig. 45 Renormalization of washboard potential in Single-Band/ I /Two-Band JJ (Fig. 45). In addition, it is clear that the zero-point fluctuation becomes larger as the frequency of the Josephson-Leggett mode decreases (Askerzade 2012).
Furthermore, it is difficult to study the details of the dynamics directly neither experimentally nor analytically, therefore, we can rely on numerical solutions of Eqs. 62) to study the influence of anharmonicity parameter α. As can be seen from Fig. 27a–c, the width of the hysteresis in the IV curve becomes larger by an increase in anharmonicity parameter α. Consequently, the presence of anharmonic CPR impacts an undesirable effect on inertial properties of the JJ. In addition, we repeat a few simulations by changing the sign of the anharmonicity parameter α as opposite to our calculations presented here.
63) is taken much longer than period of Josephson oscillations as well as relaxation oscillations. For that reason, the time averaged voltage in Eq. 63) is sometimes called as long-time average voltage in the literature. In order to study the influence of second harmonic on the dynamics of the JJ, we, firstly, evaluate the critical current related to the amplitude of both harmonics. 64) Ic /Ic0 = max (f (φ)) , where Ic0 is the critical current at α = 0. The normalized critical currents with respect to anharmonicity parameter α is plotted in Fig.
Modern Aspects of Josephson Dynamics and Superconductivity Electronics by Iman Askerzade, Ali Bozbey, Mehmet Cantürk
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