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Acta Physica Sinica (Overseas Edition), 1993, Vol. 2(4): 300-310    DOI: 10.1088/1004-423X/2/4/008
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev  

SIZE EFFECT OF INNER RADIUS ON CIRCULARLY SYMMETRIC SOLITON STATES IN ANNULAR JOSEPHSON JUNCTIONS

XU KUN-MING (徐昆明)a, LU DAO-FANG (陆道芳)a, YAO XI-XIAN (姚希贤)b
a Department of Physics, Zhejiang University, Hangzhou 310027,China; b Institute of Physics, Nanjing University, Nanjing 210008,China
Abstract  The effect of the inner radius of an annular Josephson junetion on the excitation of circularly symmetric soliton states is explored by direct numerical simulation. In a circularly symmetric annular Josephson junction (CSAJJ hereafter), the phase difference in the order parameters $\Phi$ across the junction bar-rier obeys the modified sine-Gordon equation (SGE) in which there is a perturbation term $\Phi$p/$\rho$ inversely proportional to the radial coordinate $\rho$. and this term does not appear in the case of a 1D in-line junc-tion. The effect of the $\Phi$p/$\rho$ term becomes prominent when $\rho$ is small. It turns out that for junctions of grven dissipation and annular width, there is a lower limit of the inner radii for the junctions to support stable soliton motion, while the lower limit depends strongly on the dissipation coefficient $\alpha$. For example, for a CSAJJ with inner radius 5$\lambda$J, outer radius 10$\lambda$J, no stable soliton states would exist when $\alpha$=0.01 or $\alpha$=0.02. However, for 0.06≥$\alpha$≥0.03, there are ring-shaped solitary wave solutions, presumably because the dissipation suppresses the effect of the $\Phi$p/$\rho$ term. Finally, the behaviour of the seliton states and the rele-vant I-V characteristics are also disscussed.
Received:  01 June 1992      Accepted manuscript online: 
PACS:  85.25.Cp (Josephson devices)  
  85.25.Am (Superconducting device characterization, design, and modeling)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
Fund: Project supported by the National Natural Science Foundation of China.

Cite this article: 

XU KUN-MING (徐昆明), LU DAO-FANG (陆道芳), YAO XI-XIAN (姚希贤) SIZE EFFECT OF INNER RADIUS ON CIRCULARLY SYMMETRIC SOLITON STATES IN ANNULAR JOSEPHSON JUNCTIONS 1993 Acta Physica Sinica (Overseas Edition) 2 300

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