Observation of dilational symmetry breaking in a superconducting array of Sierpinski gaskets
Abstract
The inverse sheet kinetic inductance L _{k}^{1} of a periodic array of n ^{th} order Sierpinski gaskets has been measured as a function of frustration f, f being the number of magnetic flux quanta in the elementary triangular cell of the fractal structure. The Josephson junction array shows prominent oscillations only for frustrations corresponding to multiples of f _{n}= {1/}/{(2x4 ^{n}) }. A simple model taking into account the interplay between fractal and twodimensional (2D) régime has been developed to calculate L _{k}^{1} for the gasket array. It is shown that the periodic boundary conditions imposed by the 2D lattice are responsible for the observed oscillations.
 Publication:

Physica B Condensed Matter
 Pub Date:
 February 1994
 DOI:
 10.1016/09214526(94)913625
 Bibcode:
 1994PhyB..194.1725M