Frequency divider by underdamped Josephson transmission line

Abstract

Abstract.A parallel array of coupled short Josephson junctions under boundary ac driving is theoretically investigated. The driving response is monitored via numerical simulations on the associated FrenkelKontorova model as an oscillating output current at the other boundary junction. The theoretical analysis is conducted assuming the phase locking of boundary driving with exact stationary solution of sine-Gordon equation that can be represented by a kink (fluxon) motion back and forth in the restricted geometry of the array. As a consequence the results suggest the conception of a device which could switch to the conducting regime not according to intensity range but rather to given (quantized) frequency range. Moreover our findings indicate also a frequency converting scenario by choosing appropriately the system length and injected fluxon number.

A model for a driven Frenkel–Kontorova chain

“…Det(H(x)) = 0 (6) with the Hessian, H(x), of the original PES, V (x). This is the point where the effective V F (x) along the FDSPs path has a shoulder [55,60,61].…”

“…In many applications, one particularly interesting aspect of the FK model is its driven form. The concept has subsequently been involved in many applications of the model including alternating current (AC) driven models [2][3][4][5][6], or direct driven (DC) models [7][8][9][10]. Nowadays sliding friction forms a broad interdisciplinary research field that often involves the application of the FK model [8,10,11] where the applications go up to earthquake research [12].…”