Cluster approach for quasicrystals

Hyeong Chai Jeong; Paul J. Steinhardt

doi:10.1103/PhysRevLett.73.1943

Cluster approach for quasicrystals

Hyeong Chai Jeong, Paul J. Steinhardt

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1943-1946
Number of pages	4
Journal	Physical review letters
Volume	73
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.73.1943
State	Published - 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.73.1943

Cite this

@article{8aebf3c4fed64e529a913fc3dcd4f0d6,

title = "Cluster approach for quasicrystals",

abstract = "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).",

author = "Jeong, \{Hyeong Chai\} and Steinhardt, \{Paul J.\}",

year = "1994",

doi = "10.1103/PhysRevLett.73.1943",

language = "English (US)",

volume = "73",

pages = "1943--1946",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "14",

}

TY - JOUR

T1 - Cluster approach for quasicrystals

AU - Jeong, Hyeong Chai

AU - Steinhardt, Paul J.

PY - 1994

Y1 - 1994

N2 - 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).

AB - 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).

UR - https://www.scopus.com/pages/publications/0000767194

UR - https://www.scopus.com/inward/citedby.url?scp=0000767194&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.73.1943

DO - 10.1103/PhysRevLett.73.1943

M3 - Article

C2 - 10056928

AN - SCOPUS:0000767194

SN - 0031-9007

VL - 73

SP - 1943

EP - 1946

JO - Physical review letters

JF - Physical review letters

IS - 14

ER -

Cluster approach for quasicrystals

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this