 Author
 Year
 2007
 Title
 Stability Analysis of piKinks in a 0pi Josephson Junction
 Journal
 SIAM Journal on Applied Dynamical Systems
 Volume  Issue number
 6  1
 Pages (fromto)
 99141
 Document type
 Article
 Faculty
 Faculty of Science (FNWI)
 Institute
 Kortewegde Vries Institute for Mathematics (KdVI)
 Abstract

Abstract
We consider a spatially nonautonomous discrete sineGordon equation with constant forcing and its continuum limit(s) to model a 0pi Josephson junction with an applied bias current. The continuum limits correspond to the strong coupling limit of the discrete system. The nonautonomous character is due to the presence of a discontinuity point, namely, a jump of pi in the sine Gordon phase. The continuum model admits static solitary waves which are called pikinks and are attached to the discontinuity point. For small forcing, there are three types of pikinks. We show that one of the kinks is stable and the others are unstable. There is a critical value of the forcing beyond which all static pikinks fail to exist. Up to this value, the (in)stability of the pikinks can be established analytically in the strong coupling limits. Applying a forcing above the critical value causes the nucleation of $2\pi$kinks and antikinks. Besides a pikink, the unforced system also admits a static $3\pi$kink. This state is unstable in the continuum models. By combining analytical and numerical methods in the discrete model, it is shown that the stable pikink remains stable and that the unstable pikinks cannot be stabilized by decreasing the coupling. The $3\pi$kink does become stable in the discrete model when the coupling is sufficiently weak.
Keywords: 0pi Josephson junction; 0pi sineGordon equation; semifluxon; pikink  URL
 go to publisher's site
 Link
 http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJADAY000006000001000099000001&idtype=cvips&gifs=yes
 Language
 Undefined/Unknown
 Permalink
 http://hdl.handle.net/11245/1.276654
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