Studies of quasicrystalline superconducting networks

P. M. Chaikin, A. Behrooz, M. A. Itzler, C. Wilks, B. Whitehead, G. Grest, D. Levine

    Research output: Contribution to journalArticle

    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 -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.

    Original languageEnglish (US)
    Pages (from-to)113-124
    Number of pages12
    JournalPhysica B: Condensed Matter
    Volume152
    Issue number1-2
    DOIs
    StatePublished - Aug 2 1988

    Fingerprint

    Periodic structures
    Tile
    Simulated annealing
    Ground state
    Physical properties
    Fluxes
    Substrates
    tiles
    simulated annealing
    symmetry
    cusps
    physical properties
    ground state
    configurations

    ASJC Scopus subject areas

    • Materials Science(all)
    • Condensed Matter Physics

    Cite this

    Chaikin, P. M., Behrooz, A., Itzler, M. A., Wilks, C., Whitehead, B., Grest, G., & Levine, D. (1988). Studies of quasicrystalline superconducting networks. 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.

    In: Physica B: Condensed Matter, Vol. 152, No. 1-2, 02.08.1988, p. 113-124.

    Research output: Contribution to journalArticle

    Chaikin, PM, Behrooz, A, Itzler, MA, Wilks, C, Whitehead, B, Grest, G & Levine, D 1988, 'Studies of quasicrystalline superconducting networks', Physica B: Condensed Matter, vol. 152, no. 1-2, pp. 113-124. https://doi.org/10.1016/0921-4526(88)90076-2
    Chaikin PM, Behrooz A, Itzler MA, Wilks C, Whitehead B, Grest G et al. Studies of quasicrystalline superconducting networks. Physica B: Condensed Matter. 1988 Aug 2;152(1-2):113-124. https://doi.org/10.1016/0921-4526(88)90076-2
    Chaikin, P. M. ; Behrooz, A. ; Itzler, M. A. ; Wilks, C. ; Whitehead, B. ; Grest, G. ; Levine, D. / Studies of quasicrystalline superconducting networks. In: Physica B: Condensed Matter. 1988 ; Vol. 152, No. 1-2. pp. 113-124.
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