Phyllotaxis of flux lattices in layered superconductors

L. S. Levitov
Phys. Rev. Lett. 66, 224 – Published 14 January 1991
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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.

  • Received 24 August 1990

DOI:https://doi.org/10.1103/PhysRevLett.66.224

©1991 American Physical Society

Authors & Affiliations

L. S. Levitov

  • L. D. Landau Institute for Theoretical Physics, 117940, Kosygin st. 2, Moscow, GSP-1, U.S.S.R.

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Issue

Vol. 66, Iss. 2 — 14 January 1991

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