Sine-Gordon Field with Spatial Boundary Condition and Application to Josephson Junction

Publisher Website
Google Scholar
Abstract
The two dimensional (one space-one time) sine-Gordon field with a spatial boundary condition is studied. An approximation used here is similar to the weak-coupling approximation in a nonlinear field theory, where the Lagrangian density is expanded about the static classical value L[Ψcl(x)] in powers of φ(x,t)-Ψcl(x). By using Ψcl(x), we discuss the magnetization of the Josephson with a finite linear length, taking a spatial boundary condition into account. We find that the magnetization shows not only discontinuities but also paramagnetic regions as a function of an applied magnetic field.

This publication has 3 references indexed in Scilit: