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Phys. Rev. B 36, 8338–8342 (1987)

Superconducting-normal phase boundary of quasicrystalline arrays in a magnetic field

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Franco Nori*,†, Qian Niu, Eduardo Fradkin, and Shau-Jin Chang
Physics Department, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Received 14 November 1986; revised 16 September 1987; published in the issue dated 1 December 1987

We study the effect of frustration, induced by a magnetic field, on the superconducting diamagnetic properties of two-dimensional quasicrystalline arrays. In particular, we calculate the superconducting-normal phase boundary, Tc(H), for several geometries with quasicrystalline order. The agreement between our theoretically obtained phase boundaries and the experimentally obtained ones is very good. We also propose a new way of analyzing the overall and the fine structure of Tc(H) in terms of short- and long-range correlations among tiles.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.36.8338
DOI:
10.1103/PhysRevB.36.8338
PACS:

*Also at the Materials Research Laboratory and National Center for Supercomputing Applications, University of Illinois, Urbana, IL 61801.

Present address: Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106.