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Phys. Rev. Lett. 54, 1524–1527 (1985)

Mean-Field Theory of Quasicrystalline Order

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N. D. Mermin and Sandra M. Troian
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853

See Also: Erratum

Received 7 February 1985; published in the issue dated 8 April 1985

A simple natural Landau theory of two- or three-component systems is described, which appears to give a region of the phase diagram in which quasicrystalline ordering is the state of lowest free energy. The quasicrystals are stabilized by special geometric relations between the length scales characterizing the components. Three components are required to stabilize a two-dimensional quasicrystal (a Penrose tiling) but two components suffice to stabilize an icosahedral three-dimensional quasicrystal.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.54.1524
DOI:
10.1103/PhysRevLett.54.1524
PACS:
61.50.Em, 61.55.Hg, 64.70.Ew

See Also

Erratum: N. D. Mermin and Sandra M. Troian, Mean-Field Theory of Quasicrystalline Order, Phys. Rev. Lett. 54, 2170 (1985).