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 two-dimensional (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:
- 10.1016/0921-4526(94)91362-5
- Bibcode:
- 1994PhyB..194.1725M