### Abstract

We have measured the superconducting transition temperature Tc(H) as a function of magnetic field for a network of thin aluminum wires arranged in two quasicrystalline arrays, a Fibonacci sequence and the eightfold-symmetric version of a Penrose tiling. The quasicrystals have two periods whose ratio is irrational and are constructed of two tiles with irrationally related areas. We find a series of dips in Tc(H) corresponding to favorable arrangements of the flux lattice on the quasi-crystalline substrate. The largest dips are found at n and the dips approach the zero-field transition temperature as n increases.

Original language | English (US) |
---|---|

Pages (from-to) | 368-371 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 57 |

Issue number | 3 |

DOIs | |

State | Published - 1986 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*57*(3), 368-371. https://doi.org/10.1103/PhysRevLett.57.368

**Flux quantization on quasicrystalline networks.** / Behrooz, A.; Burns, M. J.; Deckman, H.; Levine, D.; Whitehead, B.; Chaikin, P. M.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 57, no. 3, pp. 368-371. https://doi.org/10.1103/PhysRevLett.57.368

}

TY - JOUR

T1 - Flux quantization on quasicrystalline networks

AU - Behrooz, A.

AU - Burns, M. J.

AU - Deckman, H.

AU - Levine, D.

AU - Whitehead, B.

AU - Chaikin, P. M.

PY - 1986

Y1 - 1986

N2 - We have measured the superconducting transition temperature Tc(H) as a function of magnetic field for a network of thin aluminum wires arranged in two quasicrystalline arrays, a Fibonacci sequence and the eightfold-symmetric version of a Penrose tiling. The quasicrystals have two periods whose ratio is irrational and are constructed of two tiles with irrationally related areas. We find a series of dips in Tc(H) corresponding to favorable arrangements of the flux lattice on the quasi-crystalline substrate. The largest dips are found at n and the dips approach the zero-field transition temperature as n increases.

AB - We have measured the superconducting transition temperature Tc(H) as a function of magnetic field for a network of thin aluminum wires arranged in two quasicrystalline arrays, a Fibonacci sequence and the eightfold-symmetric version of a Penrose tiling. The quasicrystals have two periods whose ratio is irrational and are constructed of two tiles with irrationally related areas. We find a series of dips in Tc(H) corresponding to favorable arrangements of the flux lattice on the quasi-crystalline substrate. The largest dips are found at n and the dips approach the zero-field transition temperature as n increases.

UR - http://www.scopus.com/inward/record.url?scp=4243306067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243306067&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.57.368

DO - 10.1103/PhysRevLett.57.368

M3 - Article

AN - SCOPUS:4243306067

VL - 57

SP - 368

EP - 371

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

ER -