Mean-Field Theory of Quasicrystalline Order

N. D. Mermin and Sandra M. Troian
Phys. Rev. Lett. 54, 1524 – Published 8 April 1985; Erratum Phys. Rev. Lett. 54, 2170 (1985)
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Abstract

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.

  • Received 7 February 1985

DOI:https://doi.org/10.1103/PhysRevLett.54.1524

©1985 American Physical Society

Erratum

Mean-Field Theory of Quasicrystalline Order

N. D. Mermin and Sandra M. Troian
Phys. Rev. Lett. 54, 2170 (1985)

Authors & Affiliations

N. D. Mermin and Sandra M. Troian

  • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853

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Issue

Vol. 54, Iss. 14 — 8 April 1985

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