Mermin, N. D. and Troian, Sandra M. (1985) Mean-Field Theory of Quasicrystalline Order. Physical Review Letters, 54 (14). pp. 1524-1527. ISSN 0031-9007 http://resolver.caltech.edu/CaltechAUTHORS:MERprl85
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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.
| Item Type: | Article |
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| Additional Information: | ©1985 The American Physical Society Received 7 February 1985 This work has been supported by the National Science Foundation through Grant No. DMR-83-14625 and through the Cornell Materials Science Center, Grant No. DMR-82-17227-A01. David DiVicenzo and James Sethna provided stimulation, advice, and encouragement at all stages, and we have benefitted from conversations with Tomas Bohe, Furrukh Khan, Paul Horn, Stellan Ostlund, Eric Siggia, and Paul Steinhardt. |
| Record Number: | CaltechAUTHORS:MERprl85 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:MERprl85 |
| Alternative URL: | http://dx.doi.org/10.1103/PhysRevLett.54.1524 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 4974 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 18 Sep 2006 |
| Last Modified: | 26 Dec 2012 09:02 |
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