Degenerate Quasicrystal of Hard Triangular Bipyramids

Details Degenerate Quasicrystal of Hard Triangular Bipyramids Degenerate Quasicrystal of Hard Triangular Bipyramids

2011-06-28

arxiv.org/abs/1106.5561v2

Phys. Rev. Lett. 107, 215702 (2011)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, includes four additional pages of supplementary information

Scientific paper

10.1103/PhysRevLett.107.215702

We report a degenerate quasicrystal in Monte Carlo simulations of hard triangular bipyramids each composed of two regular tetrahedra sharing a single face. The dodecagonal quasicrystal is similar to that recently reported for hard tetrahedra [Haji-Akbari et al., Nature (London) 462, 773 (2009)] but degenerate in the pairing of tetrahedra, and self-assembles at packing fractions above 54%. This notion of degeneracy differs from the degeneracy of a quasiperiodic random tiling arising through phason flips. Free energy calculations show that a triclinic crystal is preferred at high packing fractions.

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