Existence and stability analysis of finite 0-τ-0 Josephson junctions

Saeed Ahmad, Hadi Susanto, Jonathan A.D. Wattis

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We investigate analytically and numerically a Josephson junction on a finite domain with two τ-discontinuity points characterized by a jump of τ in the phase difference of the junction, that is, a 0-τ-0 Josephson junction. The system is described by a modified sine-Gordon equation. We show that there is an instability region in which semifluxons are spontaneously generated. Using a Hamiltonian energy characterization, it is shown that the existence of static semifluxons depends on the length of the junction, the facet length, and the applied bias current. The critical eigenvalue of the semifluxons is discussed as well. Numerical simulations are presented, supporting our analytical results.

Original languageBritish English
Article number064515
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
StatePublished - 27 Aug 2009


Dive into the research topics of 'Existence and stability analysis of finite 0-τ-0 Josephson junctions'. Together they form a unique fingerprint.

Cite this