# Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction

H. Susanto, D. Darminto, [Unknown] Darminto, Stephanus A. van Gils

7 Citations (Scopus)

### Abstract

We consider a long Josephson junction with alternating 0- and $\pi$-facets with different facet lengths between the 0- and the $\pi$-parts. Depending on the combinations between the 0- and the $\pi$-facet lengths, an antiferromagnetically ordered semifluxons array can be the ground state of the system. Due to the fact that in that case there are two independent ground states, an externally introduced 2$\pi$ fluxon will be splintered or fractionalized. The magnitude of the flux in the fractional fluxons is a function of the difference between the 0 and the $\pi$-facet lengths. Here, we present an analytical calculation of the flux of splintered Josephson fluxons for any combination of 0- and $\pi$-facet lengths. In the presence of an applied bias current, we show numerically that only one of the two fractional fluxons can be moved. We also consider the I–V characteristics of the ground state and the one of a 2$\pi$-fluxon in a zig-zag junction.
Original language Undefined 10.1016/j.physleta.2006.09.044 270-276 7 Physics letters A 361 7/3 https://doi.org/10.1016/j.physleta.2006.09.044 Published - 2007

### Keywords

• PACS-74.50.+r
• PACS-85.25.Cp
• PACS-05.45.-a
• METIS-245815
• EWI-11481
• IR-62033

### Cite this

Susanto, H. ; Darminto, D. ; Darminto, [Unknown] ; van Gils, Stephanus A. / Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction. In: Physics letters A. 2007 ; Vol. 361, No. 7/3. pp. 270-276.
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abstract = "We consider a long Josephson junction with alternating 0- and $\pi$-facets with different facet lengths between the 0- and the $\pi$-parts. Depending on the combinations between the 0- and the $\pi$-facet lengths, an antiferromagnetically ordered semifluxons array can be the ground state of the system. Due to the fact that in that case there are two independent ground states, an externally introduced 2$\pi$ fluxon will be splintered or fractionalized. The magnitude of the flux in the fractional fluxons is a function of the difference between the 0 and the $\pi$-facet lengths. Here, we present an analytical calculation of the flux of splintered Josephson fluxons for any combination of 0- and $\pi$-facet lengths. In the presence of an applied bias current, we show numerically that only one of the two fractional fluxons can be moved. We also consider the I–V characteristics of the ground state and the one of a 2$\pi$-fluxon in a zig-zag junction.",
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author = "H. Susanto and D. Darminto and [Unknown] Darminto and {van Gils}, {Stephanus A.}",
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Susanto, H, Darminto, D, Darminto, U & van Gils, SA 2007, 'Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction' Physics letters A, vol. 361, no. 7/3, 10.1016/j.physleta.2006.09.044, pp. 270-276. https://doi.org/10.1016/j.physleta.2006.09.044

Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction. / Susanto, H.; Darminto, D.; Darminto, [Unknown]; van Gils, Stephanus A.

In: Physics letters A, Vol. 361, No. 7/3, 10.1016/j.physleta.2006.09.044, 2007, p. 270-276.

TY - JOUR

T1 - Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction

AU - Susanto, H.

AU - Darminto, D.

AU - Darminto, [Unknown]

AU - van Gils, Stephanus A.

N1 - 10.1016/j.physleta.2006.09.044

PY - 2007

Y1 - 2007

N2 - We consider a long Josephson junction with alternating 0- and $\pi$-facets with different facet lengths between the 0- and the $\pi$-parts. Depending on the combinations between the 0- and the $\pi$-facet lengths, an antiferromagnetically ordered semifluxons array can be the ground state of the system. Due to the fact that in that case there are two independent ground states, an externally introduced 2$\pi$ fluxon will be splintered or fractionalized. The magnitude of the flux in the fractional fluxons is a function of the difference between the 0 and the $\pi$-facet lengths. Here, we present an analytical calculation of the flux of splintered Josephson fluxons for any combination of 0- and $\pi$-facet lengths. In the presence of an applied bias current, we show numerically that only one of the two fractional fluxons can be moved. We also consider the I–V characteristics of the ground state and the one of a 2$\pi$-fluxon in a zig-zag junction.

AB - We consider a long Josephson junction with alternating 0- and $\pi$-facets with different facet lengths between the 0- and the $\pi$-parts. Depending on the combinations between the 0- and the $\pi$-facet lengths, an antiferromagnetically ordered semifluxons array can be the ground state of the system. Due to the fact that in that case there are two independent ground states, an externally introduced 2$\pi$ fluxon will be splintered or fractionalized. The magnitude of the flux in the fractional fluxons is a function of the difference between the 0 and the $\pi$-facet lengths. Here, we present an analytical calculation of the flux of splintered Josephson fluxons for any combination of 0- and $\pi$-facet lengths. In the presence of an applied bias current, we show numerically that only one of the two fractional fluxons can be moved. We also consider the I–V characteristics of the ground state and the one of a 2$\pi$-fluxon in a zig-zag junction.

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KW - EWI-11481

KW - IR-62033

U2 - 10.1016/j.physleta.2006.09.044

DO - 10.1016/j.physleta.2006.09.044

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