Danish Ph.D. School in Nonlinear Science

Sponsored by the Danish Research Academy

"Modelling of Two-dimensional Josephson Junction Arrays
by Giovanni Filatrella, Physics Department, University of Salerno, Italy
MIDIT-seminar 392
e-mail: filatrella@axpcos.csied.unisa.it
presently: fila@mips.fys.dtu.dk
Thursday November 13, 1997 15.00
at MIDIT, room 027, building 305, DTU

Abstract: In this talk it will be presented the basic equations of superconducting circuits that include Josephson junctions. In particular it will be shown how to derive the nonlinear equations for a two-dimensional network in the most complete form (including all mutual inductance terms). Will be than discussed some approximations that are in order to have a more treatable analytic model: the XY approximation and the Nakajima Sawada approximation. The latest will be then employed to derive some analytical predictions on the behavior of regular two-dimensional arrays in presence of magnetic field and of disorder of the parameters. It will be shown that a crucial role is played by the horizontal (i.e., perpendicular to the bias current) junctions. This concept has lead us to propose other circuit configurations that might be useful for applications such as microwave generators.