Analytic form for the static structure factor for a finite two-dimensional harmonic lattice

P. Dutta*, S. K. Sinha

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

104 Scopus citations

Abstract

The static structure factor S(K) for a two-dimensional harmonic lattice of finite size L is expressed analytically. Although one consequence of finite size is the absence of very-long-wavelength phonons, we find that the explicit introduction of a phonon cutoff has very little effect. The structure factor shows an universal behavior for all L, differing only by scale factors: S(K) always has the infinite-size form far from a Bragg point, but is always rounded off close to the Bragg point. Implications for the interpretation of experimental results are discussed.

Original languageEnglish (US)
Pages (from-to)50-53
Number of pages4
JournalPhysical review letters
Volume47
Issue number1
DOIs
StatePublished - Jan 1 1981

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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