Phason elasticity of a three-dimensional quasicrystal: A transfer-matrix method

Journal Article · Fri Sep 01 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.6386· OSTI ID:119412

Newman, M E.J.; Henley, C L ^[1]

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1. Laboratory of Atomic and Solid-State Physics, Cornell University, Ithaca, New York, 14853-2501 (United States)

We introduce a transfer-matrix method for calculating the thermodynamic properties of random-tiling models of quasicrystals in any number of dimensions, and describe how it may be used to calculate the phason elastic properties of these models, which are related to experimental measurables such as phason Debye-Waller factors, and diffuse scattering wings near Bragg peaks. We apply our method to the canonical-cell model of the icosahedral phase, making use of results from a previously presented calculation in which the possible structures for this model under specific periodic boundary conditions were cataloged using a computational technique. We give results for the configurational entropy density and the two fundamental elastic constants for a range of system sizes. The method is general enough to allow a similar calculation to be performed for any other random tiling model.

• DOE Contract Number: FG02-89ER45405
• OSTI ID: 119412
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 9 Vol. 52; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUNDARY CONDITIONS
CRYSTALS
DEBYE-WALLER FACTOR
ELASTICITY
ENTROPY
THREE-DIMENSIONAL CALCULATIONS
TRANSFER MATRIX METHOD