Volume: Page/Article: ------------------------------------------------------------------------ Article Collection: View Collection Help (Click on the Check Box to add an article.) ------------------------------------------------------------------------ Phys. Rev. Lett. 47, 50?53 (1981) [Issue 1 ? 6 July 1981 ] [ Previous article | Next article | Issue 1 contents ] Add to article collection View Page Images or PDF (530 kB) ------------------------------------------------------------------------ Analytic Form for the Static Structure Factor for a Finite Two-Dimensional Harmonic Lattice P. Dutta and S. K. Sinha Solid State Science Division, Argonne National Laboratory, Argonne, Illinois 60439 Received 12 March 1981 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. ©1981 The American Physical Society URL: http://link.aps.org/abstract/PRL/v47/p50 DOI: 10.1103/PhysRevLett.47.50 PACS: 63.90.+t, 05.50.+q ------------------------------------------------------------------------ Add to article collection View Page Images or PDF (530 kB) [ Previous article | Next article | Issue 1 contents ] ------------------------------------------------------------------------ References (Reference links marked with dot may require a separate subscription.) 1. B. Jancovici, Phys. Rev. Lett. 19, 20 (1967) . 2. Y. Imry and L. Gunther, Phys. Rev. B 3, 3939 (1971) ; Y. Imry, Crit. Rev. Solid State Mater. Sci. 8, 157 (1979) [dot INSPEC ]. 3. P. Dutta, S. K. Sinha, P. Vora, M. Nielsen, L. Passell, and M. Bretz, in Ordering in Two Dimensions, edited by S. K. Sinha (North-Holland, Amsterdam, 1980), p. 169. 4. D. E. Moncton and R. Pindak, in Ordering in Two Dimensions, edited by S. K. Sinha (North-Holland, Amsterdam, 1980), p. 83; J. Als-Nielsen, R. J. Birgeneau, M. Kaplan, J. D. Litster, and C. R. Safinya, Phys. Rev. B 21, 312 (1980). 5. F. Weling and A. Griffin, Phys. Rev. Lett. 46, 353 (1981) . 6. B. E. Warren, Phys. Rev. 59, 693 (1941) . 7. I. S. Gradshteyn and I. W. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965), Sec. 6.631. 8. Omitted endnote. 9. Y. Imry, private communication. ------------------------------------------------------------------------ Add to article collection View Page Images or PDF (530 kB) [Show Articles Citing This One] Requires Subscription [ Previous article | Next article | Issue 1 contents ] ------------------------------------------------------------------------ [ APS | APS Journals | PROLA Homepage | Browse | Search ]