Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.215702
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Funding
- U.S. Air Force Office of Scientific Research under Multidisciplinary University Research Initiative [FA9550-06-1-0337, 444286-P061716]
- DOD/DDRE [N00244-09-1-0062]
- Deutsche Forschungsgemeinschaft
- University of Michigan
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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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