Phyllotaxis of flux lattices in layered superconductors
Abstract
The geometry of a flux lattice pinned by superconducting layers is studied. Under variation of magnetic field the lattice undergoes an infinite sequence of continuous transitions corresponding to different ways of selection of shortest distances. All possible lattices form a hierarchical structure identified as the hierarchy of Farey numbers. It is shown that dynamically accessible lattices are characterized by pairs of consecutive Fibonacci numbers.
 Publication:

Physical Review Letters
 Pub Date:
 January 1991
 DOI:
 10.1103/PhysRevLett.66.224
 Bibcode:
 1991PhRvL..66..224L
 Keywords:

 74.60.Ge;
 74.70.Jm