Two-dimensional mixed crystals

Michael Thorpe, Y. Cai

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We show that the long-range positional order in a two-dimensional crystal A1-xBx is destroyed by size-mismatch disorder. The size-mismatch disorder is characterized by an effective temperature kBTD=Kx(1-x)(LB0-LA0)2 associated with the strain energy, where K is a force constant and LB0-LA0 is the length mismatch. We study a model that has a fixed triangular-net topology. By comparison with computer simulations, we show that a linearized small displacement theory is adequate for small size mismatches. The long-range orientational order remains. The positional correlation function decays algebraically, which leads to power-law peaks that replace the Bragg peaks in the diffraction pattern. We argue that this model should provide a reasonable qualitative description of real two-dimensional mixed crystals, in the limit of a small size mismatch.

Original languageEnglish (US)
Pages (from-to)11019-11024
Number of pages6
JournalPhysical Review B
Volume43
Issue number13
DOIs
StatePublished - 1991
Externally publishedYes

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mixed crystals
Crystals
Strain energy
Diffraction patterns
Topology
disorders
Computer simulation
diffraction patterns
topology
computerized simulation
Temperature
decay
crystals
temperature
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Two-dimensional mixed crystals. / Thorpe, Michael; Cai, Y.

In: Physical Review B, Vol. 43, No. 13, 1991, p. 11019-11024.

Research output: Contribution to journalArticle

Thorpe, M & Cai, Y 1991, 'Two-dimensional mixed crystals', Physical Review B, vol. 43, no. 13, pp. 11019-11024. https://doi.org/10.1103/PhysRevB.43.11019
Thorpe, Michael ; Cai, Y. / Two-dimensional mixed crystals. In: Physical Review B. 1991 ; Vol. 43, No. 13. pp. 11019-11024.
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