### Abstract

We have studied a variety of different periodic and quasiperiodic superconducting networks both theoretically and experimentally with an eye toward seeing whether quasicrystalline structures have physical properties distinct from either random or periodic structures. We are also interested in the question of whether there can be a sense of "commensurability" of a particle or fluxoid arrangement on a quasicrystalline substrate. Experimentally we find cusp-like dips in -δT_{c}(H) for the quasicrystalline networks at H H_{1} = n + mσ, where H_{1} is the field which would put 1 flux quanta in every tile an d σ is the irrational number which characterizes the inflation symmetry of the network. This suggests that the commensurate states are associated with the inflation properties of the network. Using several theoretical models and Monte Carlo simulated annealing we have found that the ground state configurations are particular fillings of inflated tilings. We then redefine commensurability in terms of inflation symmetry and indicate how this applies to periodic and quasicrystalline networks.

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

Pages (from-to) | 113-124 |

Number of pages | 12 |

Journal | Physica B: Condensed Matter |

Volume | 152 |

Issue number | 1-2 |

DOIs | |

State | Published - Aug 2 1988 |

### Fingerprint

### ASJC Scopus subject areas

- Materials Science(all)
- Condensed Matter Physics

### Cite this

*Physica B: Condensed Matter*,

*152*(1-2), 113-124. https://doi.org/10.1016/0921-4526(88)90076-2

**Studies of quasicrystalline superconducting networks.** / Chaikin, P. M.; Behrooz, A.; Itzler, M. A.; Wilks, C.; Whitehead, B.; Grest, G.; Levine, D.

Research output: Contribution to journal › Article

*Physica B: Condensed Matter*, vol. 152, no. 1-2, pp. 113-124. https://doi.org/10.1016/0921-4526(88)90076-2

}

TY - JOUR

T1 - Studies of quasicrystalline superconducting networks

AU - Chaikin, P. M.

AU - Behrooz, A.

AU - Itzler, M. A.

AU - Wilks, C.

AU - Whitehead, B.

AU - Grest, G.

AU - Levine, D.

PY - 1988/8/2

Y1 - 1988/8/2

N2 - We have studied a variety of different periodic and quasiperiodic superconducting networks both theoretically and experimentally with an eye toward seeing whether quasicrystalline structures have physical properties distinct from either random or periodic structures. We are also interested in the question of whether there can be a sense of "commensurability" of a particle or fluxoid arrangement on a quasicrystalline substrate. Experimentally we find cusp-like dips in -δTc(H) for the quasicrystalline networks at H H1 = n + mσ, where H1 is the field which would put 1 flux quanta in every tile an d σ is the irrational number which characterizes the inflation symmetry of the network. This suggests that the commensurate states are associated with the inflation properties of the network. Using several theoretical models and Monte Carlo simulated annealing we have found that the ground state configurations are particular fillings of inflated tilings. We then redefine commensurability in terms of inflation symmetry and indicate how this applies to periodic and quasicrystalline networks.

AB - We have studied a variety of different periodic and quasiperiodic superconducting networks both theoretically and experimentally with an eye toward seeing whether quasicrystalline structures have physical properties distinct from either random or periodic structures. We are also interested in the question of whether there can be a sense of "commensurability" of a particle or fluxoid arrangement on a quasicrystalline substrate. Experimentally we find cusp-like dips in -δTc(H) for the quasicrystalline networks at H H1 = n + mσ, where H1 is the field which would put 1 flux quanta in every tile an d σ is the irrational number which characterizes the inflation symmetry of the network. This suggests that the commensurate states are associated with the inflation properties of the network. Using several theoretical models and Monte Carlo simulated annealing we have found that the ground state configurations are particular fillings of inflated tilings. We then redefine commensurability in terms of inflation symmetry and indicate how this applies to periodic and quasicrystalline networks.

UR - http://www.scopus.com/inward/record.url?scp=0024054420&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024054420&partnerID=8YFLogxK

U2 - 10.1016/0921-4526(88)90076-2

DO - 10.1016/0921-4526(88)90076-2

M3 - Article

AN - SCOPUS:0024054420

VL - 152

SP - 113

EP - 124

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

IS - 1-2

ER -