We investigate analytically and numerically the stability of bubble-like fluxons in disk-shaped heterogeneous Josephson junctions. Using ring solitons as a model of bubble fluxons in the two-dimensional sine-Gordon equation, we show that the insertion of coaxial dipole currents prevents their collapse. We characterize the onset of instability by introducing a single parameter that couples the radius of the bubble fluxon with the properties of the injected current. For different combinations of parameters, we report the formation of stable oscillating bubbles, the emergence of internal modes, and bubble breakup due to internal mode instability. We show that the critical germ depends on the ratio between its radius and the steepness of the wall separating the different phases in the system. If the steepness of the wall is increased (decreased), the critical radius decreases (increases). Our theoretical findings are in good agreement with numerical simulations.
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Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current
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June 2020
Research Article|
June 16 2020
Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current
Alicia G. Castro-Montes;
Alicia G. Castro-Montes
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso
, Casilla 4059, Chile
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Juan F. Marín
;
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso
, Casilla 4059, Chile
a)Author to whom correspondence should be addressed: juan.marin.m@usach.cl
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Diego Teca-Wellmann;
Diego Teca-Wellmann
2
Departamento de Física, Universidad Técnica Federico Santa María
, Casilla 110-V, Valparaíso, Chile
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Jorge A. González;
Jorge A. González
3
Department of Physics, Florida International University
, Miami, Florida 33199, USA
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Mónica A. García-Ñustes
Mónica A. García-Ñustes
1
Instituto de Física, Pontificia Universidad Católica de Valparaíso
, Casilla 4059, Chile
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a)Author to whom correspondence should be addressed: juan.marin.m@usach.cl
b)
Present address: Departamento de Física, Universidad de Santiago de Chile, Av. Ecuador 3493, Estación Central, Santiago, Chile.
Chaos 30, 063132 (2020)
Article history
Received:
February 28 2020
Accepted:
June 02 2020
Citation
Alicia G. Castro-Montes, Juan F. Marín, Diego Teca-Wellmann, Jorge A. González, Mónica A. García-Ñustes; Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current. Chaos 1 June 2020; 30 (6): 063132. https://doi.org/10.1063/5.0006226
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