Free energies of isolated five- and sevenfold disclinations in hexatic membranes

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 3, 1996, Pages 2551-2559

  Deem, Michael W ^a   Nelson, David R ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040450974     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.53.2551     Document Type: Article

References (26)

1. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978); 41, 519 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979); see also A. P. Young, ibid. 19, 1855 (1979).
2. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978); 41, 519 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979); see also A. P. Young, ibid. 19, 1855 (1979).
3. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978); 41, 519 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979); see also A. P. Young, ibid. 19, 1855 (1979).
4. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. 41, 121 (1978); 41, 519 (1978); D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979); see also A. P. Young, ibid. 19, 1855 (1979).
5. For a review, see D. R. Nelson, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, New York, 1983), Vol. 7.
6. Bond Orientational Order in Condensed Matter Systems, edited by K. Strandburg (Springer, New York, 1992).
7. S. Leibler, in Statistical Mechanics of Membranes and Surfaces, edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
8. D. R. Nelson and L. Peliti, J. Phys. (Paris) 48, 1085 (1987).
9. S. Seung and D. R. Nelson, Phys. Rev. A 38, 1005 (1988).
10. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
11. D. R. Nelson, in Fluctuating Geometries in Statistical Physics Field Theory, edited by F. David, P. Ginsparg, and J. Zinn-Justin (North-Holand, Amsterdam, in press).
12. S. Seung, Ph.D. thesis, Harvard University, 1990 (unpublished).
13. E. Guitter, Ph.D. thesis, Saclay, 1990 (unpublished).
14. E. Guitter and M. Kardar, Europhys. Lett. 13, 441 (1990).
15. F. David, E. Guitter, and L. Peliti, J. Phys. (Paris) 48, 2059 (1987).
16. J.-M. Park and T. C. Lubensky (unpublished).
17. J.-M. Park and T. C. Lubensky (unpublished).
18. eff(l) are the running coupling constants discussed in Sec. V.
19. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, New York, 1993).
20. D. R. Nelson and R. A. Pelcovits, Phys, Rev. B 16, 2191 (1977).
21. D. R. Nelson and J. M. Kosterlitz, Phys. Rev. Lett. 39, 1201 (1977).
22. F. David, in Statistical Mechanics of Membranes and Surfaces, edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989).
23. In this paper, we use the symbol ∼ to mean asymptotic equality, including prefactors.
24. H. S. M. Coxeter, Introduction to Geometry (Wiley, New York, 1969), Sec. 19; D. S. Mitrinovic, J. Ulcar, and R. S. Anderssen, Differential Geometry (Wolters-Noordhoff, Groningen, 1970), Sec. 5.
25. H. S. M. Coxeter, Introduction to Geometry (Wiley, New York, 1969), Sec. 19; D. S. Mitrinovic, J. Ulcar, and R. S. Anderssen, Differential Geometry (Wolters-Noordhoff, Groningen, 1970), Sec. 5.
26. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, New York, 1992), Sec. 10.6.