Simulation ofI−Vhysteresis branches in an intrinsic stack of Josephson junctions in high-Tcsuperconductors

Abstract

I-V characteristics of the high T c superconductor Bi 2 Sr 2 Ca 1 C 2 O 8 shows a strong hysteresis, producing many branches. The origin of hysteresis jumps is studied by use of the model of multi-layered Josephson junctions proposed by one of the authors (T. K.). The charging effect at superconducting layers produces a coupling between the next nearest neighbor phase-differences, which determines the structure of hysteresis branches. It will be shown that a solution of phase motions is understood as a combination of rotating and oscillating phase-differences, and that, at points of hysteresis jumps, there occurs a change in the number of rotating phase-differences. Effects of dissipation are analyzed. The dissipation in insulating layers works to damp the phase motion itself, while the dissipation in superconducting layers works to damp relative motions of phase-differences. Their effects to hysteresis jumps are discussed.

Transiently enhanced interlayer tunneling in optically driven high- Tc superconductors

“…1). [28][29][30][31][32][33][34][35][36][37][38][39][40] The model is limited by its low dimensionality and lack of amplitude fluctuations of the order parameter, which prohibits us to describe light-induced superconductivity far above T c . steady state properties of similar models have been investigated in Refs.…”

Influence of coupling parameter on current–voltage characteristics of intrinsic Josephson junctions in high-Tc superconductors

“…The slope of the outermost branch (the all junctions are in the rotating (R-state)) does not depend on the value of the coupling constant. As we expected the slopes of the branches are getting close to the slope of the outermost branch, but this approaching is decreased with increase in Using the equations of CCJJ model [7] we obtain the analytical expression for the α -dependence of the slope n, taking into account the distribution of R-and O-junctions in the stack. For example, 2 …”

“…By this method we simulate the IVC of IJJ under restriction that patterns of distribution of phase rotating junctions are symmetric [7]. For the case of 11 junctions at α =1, β =0.2, γ =0.5 we obtain the complete branch structure consisting of 45 branches with a different slopes.…”

Breakpoint phenomenon in layered superconductors

“…Their influence on the IVC in the CCJJ and CCJJ+DC models was discussed in Refs. [2,7,8]. To calculate the voltages V l (I) in each point of the IVC (for each value of I), we simulate the dynamics of the phases ϕ l (t) using the fourth-order Runge-Kutta method.…”