Transfer-matrix analysis of a two-dimensional quasicrystal

Journal Article · Mon Jul 17 04:00:00 EDT 1989 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.63.310· OSTI ID:5954117

Widom, M; Deng, D P; Henley, C L

We investigate the quasicrystalline state of a two-dimensional binary alloy in a discrete tiling approximation. Through transfer-matrix calculations we determine the configurational entropy over a range of concentrations. We find that the entropy density is maximized by a state with tenfold symmetry at the quasicrystal concentration. Derivatives of the entropy density at its maximum yield values for the phason elastic constants. Our results confirm the existence of quasi-long-range translational order in equilibrium quasicrystalline alloys and lend support to the random-tiling model of quasicrystals.

• Research Organization: Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213(US); Department of Physics, Boston University, Boston, Massachusetts 02215
• OSTI ID: 5954117
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 63:3; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
ALLOY SYSTEMS
BINARY ALLOY SYSTEMS
CRYSTALS
ENTROPY
FILMS
ORDER PARAMETERS
PHYSICAL PROPERTIES
SYMMETRY
THERMODYNAMIC PROPERTIES
THIN FILMS
TRANSFER MATRIX METHOD