Cluster approach for quasicrystals

Hyeong Chai Jeong, Paul J. Steinhardt

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


We consider a "cluster picture" to explain the structure and formation of quasicrystals. Quasicrystal ordering is attributed to a small set of low-energy atomic clusters which determine the state of minimum free energy. The nature of the ground state as T→0, depending upon the clusters and cluster energies, ranges from energetically stable and unique (as in Penrose tilings), to entropically stable and degenerate (as in random tilings).

Original languageEnglish (US)
Pages (from-to)1943-1946
Number of pages4
JournalPhysical review letters
Issue number14
StatePublished - 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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