Finite-temperature elasticity phase transition in decagonal quasicrystals

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.9394· OSTI ID:6146543

Jeong, H; Steinhardt, P J ^[1]

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1. Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 (United States)

We present evidence for a finite-temperature phase transition in the phason elasticity of quasicrystals. A tiling model for energetically stabilized decagonal quasicrystals has been studied in an extensive series of Monte Carlo simulations. The Hamiltonian (energetics) of the model is given by nearest-neighbor Penrose-like matching rules between three-dimensional unit cells. A new order parameter and diagnostics have been introduced. We show that a transition from locked-phason to unlocked-phason dynamics occurs at finite temperature. In the unlocked phase, phasons can be thermodynamically excited even though the quasicrystal is energetically stabilized at low temperatures.

• OSTI ID: 6146543
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 48:13; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360602* -- Other Materials-- Structure & Phase Studies
CALCULATION METHODS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
CRYSTAL-PHASE TRANSFORMATIONS
MATHEMATICAL MODELS
MONTE CARLO METHOD
ORDER PARAMETERS
PHASE TRANSFORMATIONS
PHONONS
QUASI PARTICLES
SIMULATION