Fluxon motion in one-dimensional Josephson junction arrays

A. V. Ustinov; M. Cirillo; B. A. Malomed; Yu S. Kivshar

doi:10.1016/0921-4526(94)91382-X

Fluxon motion in one-dimensional Josephson junction arrays

A. V. Ustinov, M. Cirillo, B. A. Malomed, Yu S. Kivshar

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Current-voltage (IV-) characteristics of linear and annular discrete arrays of underdamped small Josephson junctions with different values of single loop inductances are calculated numerically and compared with those obtained for continuum long Josephson junctions. The resonances between the moving fluxon and the linear waves caused by the array discreteness induce steps on the IV -curve which do not exist in the continuum case. The voltage position of the steps is found to be in good agreement with the kinematic approach based on the Frenkel-Kontorova model. Our results show that in Josephson fluxon devices the discreteness may lead to strong super-radiant emission of electromagnetic waves by moving fluxons.

Original language	English
Pages (from-to)	1765-1766
Number of pages	2
Journal	Physica B: Condensed Matter
Volume	194-196
Issue number	PART 2
DOIs	https://doi.org/10.1016/0921-4526(94)91382-X
State	Published - 2 Feb 1994

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title = "Fluxon motion in one-dimensional Josephson junction arrays",

abstract = "Current-voltage (IV-) characteristics of linear and annular discrete arrays of underdamped small Josephson junctions with different values of single loop inductances are calculated numerically and compared with those obtained for continuum long Josephson junctions. The resonances between the moving fluxon and the linear waves caused by the array discreteness induce steps on the IV -curve which do not exist in the continuum case. The voltage position of the steps is found to be in good agreement with the kinematic approach based on the Frenkel-Kontorova model. Our results show that in Josephson fluxon devices the discreteness may lead to strong super-radiant emission of electromagnetic waves by moving fluxons.",

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note = "Funding Information: *On leave from: Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow district, 142432 Russia. Paa-tial financial support of the Su-crytec project of CNR (Italy) is acknowledged.",

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AU - Ustinov, A. V.

AU - Cirillo, M.

AU - Malomed, B. A.

AU - Kivshar, Yu S.

N1 - Funding Information: *On leave from: Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow district, 142432 Russia. Paa-tial financial support of the Su-crytec project of CNR (Italy) is acknowledged.

PY - 1994/2/2

Y1 - 1994/2/2

N2 - Current-voltage (IV-) characteristics of linear and annular discrete arrays of underdamped small Josephson junctions with different values of single loop inductances are calculated numerically and compared with those obtained for continuum long Josephson junctions. The resonances between the moving fluxon and the linear waves caused by the array discreteness induce steps on the IV -curve which do not exist in the continuum case. The voltage position of the steps is found to be in good agreement with the kinematic approach based on the Frenkel-Kontorova model. Our results show that in Josephson fluxon devices the discreteness may lead to strong super-radiant emission of electromagnetic waves by moving fluxons.

AB - Current-voltage (IV-) characteristics of linear and annular discrete arrays of underdamped small Josephson junctions with different values of single loop inductances are calculated numerically and compared with those obtained for continuum long Josephson junctions. The resonances between the moving fluxon and the linear waves caused by the array discreteness induce steps on the IV -curve which do not exist in the continuum case. The voltage position of the steps is found to be in good agreement with the kinematic approach based on the Frenkel-Kontorova model. Our results show that in Josephson fluxon devices the discreteness may lead to strong super-radiant emission of electromagnetic waves by moving fluxons.

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Fluxon motion in one-dimensional Josephson junction arrays

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