Mobile $π-$kinks and half-integer zero-field-like steps in highly discrete alternating $0-π$ Josephson junction arrays

Details Mobile $π-$kinks and half-integer zero-field-like steps in highly discrete alternating $0-π$ Josephson junction arrays Mobile $π-$kinks and half-integer zero-field-like steps in highly discrete alternating $0-π$ Josephson junction arrays

2007-12-05

arxiv.org/abs/0712.0675v1

Supercond. Sci. Technol. 21, 045003 (2008)

Physics

Condensed Matter

Superconductivity

7 pages, 8 figures, submitted to Supercond. Sci. Technol

Scientific paper

10.1088/0953-2048/21/4/045003

The dynamics of a one-dimensional, highly discrete, linear array of alternating $0-$ and $\pi-$ Josephson junctions is studied numerically, under constant bias current at zero magnetic field. The calculated current - voltage characteristics exhibit half-integer and integer zero-field-like steps for even and odd total number of junctions, respectively. Inspection of the instantaneous phases reveals that, in the former case, single $\pi-$kink excitations (discrete semi-fluxons) are supported, whose propagation in the array gives rise to the $1/2-$step, while in the latter case, a pair of $\pi-$kink -- $\pi-$antikink appears, whose propagation gives rise to the $1-$step. When additional $2\pi-$kinks are inserted in the array, they are subjected to fractionalization, transforming themselves into two closely spaced $\pi-$kinks. As they propagate in the array along with the single $\pi-$kink or the $\pi-$kink - $\pi-$antikink pair, they give rise to higher half-integer or integer zero-field-like steps, respectively.

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