Tiling models for decagonal quasicrystals with quasiperiodic potentials

Hee Tae Jeong, Won Tae Kim, Do Hyang Kim, Hyeong Chai Jeong

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


We study the thermal equilibrium properties of tiling models for decagonal quasicrystals using Monte Carlo simulations. Two-dimensional (2D) rhombus tilings with a ten-fold quasiperiodic potential are used to model the layers in the decagonal quasicrystals where the potential mimics interlayer interactions from the neighboring layers. When the long wavelength density wave with the ten-fold symmetry is used for the potential, the ground state becomes Penrose tiling. At high temperature, equilibrium configurations are locally similar to the maximal random tiling indicating almost free proliferation of phasons as in the unlocked phason phase. However, their phason-space fluctuations seem to remain finite indicating the long-range quasiperiodic ordering, whereas the logarithmic divergence of phason-space fluctuations is expected in an unlocked phase 2D tiling.

Original languageEnglish
Pages (from-to)115-119
Number of pages5
JournalJournal of Alloys and Compounds
Issue number1-2
Publication statusPublished - 2002 Aug 14
EventQC2001 - Sendai, Japan
Duration: 2001 Sept 242001 Sept 28

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Metals and Alloys
  • Materials Chemistry


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