Curved Josephson junction

Dobrowolski, Tomasz

doi:10.1016/j.aop.2012.02.003

Cited by 13 publications

(7 citation statements)

References 28 publications

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“…As a result we have obtained precise agreement of two results for junctions with constant curvature. Moreover, the same result was obtained on a more fundamental level [7]. On the other hand, if the curvature is a slowly varying function of the variable s then both results agree approximately.…”

Section: Remarkssupporting

confidence: 79%

The Fluxion in a Curved Josephson Junction

Dobrowolski¹

2014

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The curved Josephson junction is described. In the framework of the Maxwell equations the equation that describes the influence of the curvature on the fluxion motion was obtained. The method of geometrical reduction of the sine-Gordon model from three to lower dimensional manifold was applied to the long Josephson junction. It was argued that the geometrical reduction describes the junctions with slowly varying curvatures.

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Section: Remarkssupporting

confidence: 79%

The Fluxion in a Curved Josephson Junction

Dobrowolski¹

2014

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“…Now, let us turn to Bogomolny equations which follow from the inequality (6). These equations correspond to saturation of the lower bound of this inequality…”

Section: Bogomolny Analysismentioning

confidence: 99%

“…The model considered here is obtained by dimensional reduction of the sine-Gordon model from 3+1 to 1+1 dimensions. The usefulness of this procedure was motivated in paper [6]. This paper shows that for slowly varying curvatures,s the appropriate 1+1 dimensional model correctly describes curved Josephson junctions.…”

Section: Introductionmentioning

confidence: 99%

Kink Profile in a Curved Space

Dobrowolski¹

2015

Acta Phys. Pol. B

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“…The effects of arbitrary curvature on fluxon motion in curved Josephson junctions were studied in articles [17,18,19,20,21] with curvatures playing the role of potential barriers for kink motion. In particular in [22] the different simplified effective descriptions were compared in order to choose the most suitable for the considered system.…”

Section: Introductionmentioning

confidence: 99%