Observation of dilational symmetry breaking in a superconducting array of Sierpinski gaskets

✍ Scribed by R. Meyer; B. Jeanneret; S.E. Korshunov; P. Martinoli

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 165 KB
• Volume: 194-196
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/0921-4526(94)91362-5

✦ Synopsis

The inverse sheet kinetic inductance Lk -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 fn=l/(2x4n). A simple model taking into account the interplay between fractal and twodimensional (2D) r6gime has been developed to calculate Lk -I for the gasket array. It is shown that the periodic boundary conditions imposed by the 2D lattice are responsible for the observed oscillations.