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

被引：2

作者：

Ahmad, Saeed ^{[1
]}

Susanto, Hadi ^{[1
]}

Wattis, Jonathan A. D. ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

PHYSICAL REVIEW B | 2009年 / 80卷 / 06期

关键词：

eigenvalues and eigenfunctions; Josephson effect; numerical analysis; sine-Gordon equation; SUPERCONDUCTORS; VORTICES; QUANTUM; ARRAYS; FLUX;

D O I：

10.1103/PhysRevB.80.064515

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate analytically and numerically a Josephson junction on a finite domain with two pi-discontinuity points characterized by a jump of pi in the phase difference of the junction, that is, a 0-pi-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.

引用

页数：9

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