Theory of chiral periodic mesophases formed from an achiral liquid of bent-core molecules

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 1, 2004, Pages

  Lorman, V L ^a   Mettout, B ^b  

^a CNRS   (France)

^b LPTM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROELECTRIC MATERIALS; DEGREES OF FREEDOM (MECHANICS); ELECTROMAGNETIC WAVE POLARIZATION; FERMIONS; FREE ENERGY; SMECTIC LIQUID CRYSTALS; VECTORS; X RAY DIFFRACTION ANALYSIS;

ACHIRAL LIQUID; BENT-CORE MOLECULES; ELLIPTIC POLARIZATION; LINEAR POLARIZATION;

NEMATIC LIQUID CRYSTALS;

EID: 42749105844     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.061710     Document Type: Article

References (68)

1. T. Niori, T. Sekine, J. Watanabe, T. Furukawa, and H. Takezoe, J. Mater. Chem. 6, 1231 (1996).
2. D. R. Link, G. Natale, R. Shao, J. E. Maclennan, N. A. Clark, E. Korblova, and D. M. Walba, Nature (London) 278, 1924 (1998); G. Heppke, A. Jakli, D. Kroerke, C. Lohning, D. Lotzsch, S. paus, S. Rauch, and K. Sarma (Unpublished); W. Weissflog, C. Lischka, I. Benné, T. Scharf, G. Pelzl, S. Diele, H. Kruth, and I. Wirth, Ferroelectrics 212, 169 (1998); R. Macdonald, F. Kentischer, P. Warnick, and G. Heppke, Phys. Rev. Lett. 81, 4408 (1998).
3. D. R. Link, G. Natale, R. Shao, J. E. Maclennan, N. A. Clark, E. Korblova, and D. M. Walba, Nature (London) 278, 1924 (1998); G. Heppke, A. Jakli, D. Kroerke, C. Lohning, D. Lotzsch, S. paus, S. Rauch, and K. Sarma (Unpublished); W. Weissflog, C. Lischka, I. Benné, T. Scharf, G. Pelzl, S. Diele, H. Kruth, and I. Wirth, Ferroelectrics 212, 169 (1998); R. Macdonald, F. Kentischer, P. Warnick, and G. Heppke, Phys. Rev. Lett. 81, 4408 (1998).
4. D. R. Link, G. Natale, R. Shao, J. E. Maclennan, N. A. Clark, E. Korblova, and D. M. Walba, Nature (London) 278, 1924 (1998); G. Heppke, A. Jakli, D. Kroerke, C. Lohning, D. Lotzsch, S. paus, S. Rauch, and K. Sarma (Unpublished); W. Weissflog, C. Lischka, I. Benné, T. Scharf, G. Pelzl, S. Diele, H. Kruth, and I. Wirth, Ferroelectrics 212, 169 (1998); R. Macdonald, F. Kentischer, P. Warnick, and G. Heppke, Phys. Rev. Lett. 81, 4408 (1998).
5. D. R. Link, G. Natale, R. Shao, J. E. Maclennan, N. A. Clark, E. Korblova, and D. M. Walba, Nature (London) 278, 1924 (1998); G. Heppke, A. Jakli, D. Kroerke, C. Lohning, D. Lotzsch, S. paus, S. Rauch, and K. Sarma (Unpublished); W. Weissflog, C. Lischka, I. Benné, T. Scharf, G. Pelzl, S. Diele, H. Kruth, and I. Wirth, Ferroelectrics 212, 169 (1998); R. Macdonald, F. Kentischer, P. Warnick, and G. Heppke, Phys. Rev. Lett. 81, 4408 (1998).
6. A. Fukuda et al., J. Mater. Chem. 4, 997 (1994); I. Musevic, R. Blinc, and B. Zeks, The Physics of Ferroelectric and Antiferroelectric Liquid Cristals (World Scientific, Singapore, 2000).
7. A. Fukuda et al., J. Mater. Chem. 4, 997 (1994); I. Musevic, R. Blinc, and B. Zeks, The Physics of Ferroelectric and Antiferroelectric Liquid Cristals (World Scientific, Singapore, 2000).
8. G. Pelzl, S. Diele, and W. Weissflog, Adv. Mater. (Weinheim, Ger.) 11, 707 (1999).
9. W. Weissflog, C. Lischka, I. Benné, T. Scharf, G. Pelzl, S. Diele, and H. Kruth, Proc. SPIE 14, 3319 (1998).
10. S. Diele, S. Grande, H. Kruth, and C. Lischka, Ferroelectrics 212, 169 (1998).
11. T. Sekine, T. Niori, M. Sone, J. Watanabe, S. W. Choi, Y. Takanishi, and H. Takezoe, Jpn. J. Appl. Phys., Part 1 36, 6455 (1997).
12. J. Watanabe, T. Niori, T. Sekine, and H. Takezoe, Jpn. J. Appl. Phys., Part 2 37, L139 (1998).
13. G. Pelzl, S. Diele, A. Jàkli, C. Lischka, G. Pelzl, I. Wirth, and W. Weissflog, Liq. Cryst. 26, 135 (1999).
14. N. A. Clark et al., 19th International LCC, Edinburgh, 2002 (unpublished); International FLCC, Dublin, 2003 (unpublished).
15. N. A. Clark et al., 19th International LCC, Edinburgh, 2002 (unpublished); International FLCC, Dublin, 2003 (unpublished).
16. T. Sekine, Y. Takanishi, T. Niori, J. Watanabe, and H. Takezoe, Jpn. J. Appl. Phys., Part 2 36, L1201 (1997).
17. G. Heppke, and D. Moro, Science 279, 1872 (1998).
18. R. Balian and N. R. Werthamer, Phys. Rev. 131, 1553 (1963); P. W. Anderson, and P. Morel, Phys. Rev. Lett. 5, 136 (1960).
19. R. Balian and N. R. Werthamer, Phys. Rev. 131, 1553 (1963); P. W. Anderson, and P. Morel, Phys. Rev. Lett. 5, 136 (1960).
20. K. Ueda and T. M. Rice, Phys. Rev. B 31, 7114 (1985).
21. M. Sigrist and K. Ueda, Rev. Mod. Phys. 63, 239 (1991).
22. A. J. Legett, Rev. Mod. Phys. 47, 331 (1975); L. P. Pitaevskii, Sov. Phys. JETP 37, 1267 (1960).
23. A. J. Legett, Rev. Mod. Phys. 47, 331 (1975); L. P. Pitaevskii, Sov. Phys. JETP 37, 1267 (1960).
24. L. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980), Pt. 2, See. 54; D. Mermin, Phys. Rev. A 9, 868 (1973).
25. L. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Statistical Physics (Pergamon Press, Oxford, 1980), Pt. 2, See. 54; D. Mermin, Phys. Rev. A 9, 868 (1973).
26. V, Lorman and B. Mettout, Phys. Rev. Lett. 82, 940 (1999).
27. Yu. M. Gufan, G. M. Vereshkov, P. Tolédano, B. Mettout, V. Lorman, and R. Bouzerar, Phys. Rev. B 51, 9219 (1995).
28. E. I. Kats, Sov. Phys. Usp. 27, 42 (1984).
29. A. Eremin, S. Diele, G. Pelzl, H. Nadasi, W. Weissflog, J. Salfetnikova, and H. Kresse, Phys. Rev. E 64, 051707 (2001).
30. Y. Lansac, P. K. Haiti, N. A. Clark, and M. A. Glaser, Phys. Rev. E 67, 011703 (2003).
31. Ferroelectric Liquid Crystals edited by J. W. Goodby (Gordon and Breach, Philadelphia, 1991).
32. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, London, 1958).
33. P. G. deGennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993).
34. In the full thermodynamic potential, all the branches of the star of k appear and the free energy is an integral of the right-hand side of Eq. (7a)-(7c) over the continuous star. When a single branch is active all the terms cancel in the integral except those associated with the active branch and F reduces to Eq. (7a)-(7c).
35. Yu. M. Gufan, Sov. Phys. Solid State 13, 175 (1971); Structural Phase Transitions (Nauka, Moscow, 1982); J. C. Tolédano and P. Tolédano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1987).
36. Yu. M. Gufan, Sov. Phys. Solid State 13, 175 (1971); Structural Phase Transitions (Nauka, Moscow, 1982); J. C. Tolédano and P. Tolédano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1987).
37. Yu. M. Gufan, Sov. Phys. Solid State 13, 175 (1971); Structural Phase Transitions (Nauka, Moscow, 1982); J. C. Tolédano and P. Tolédano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1987).
38. C. J. Bradley and A. P. Cracknell, The Mathematical Theory of Symmetry in Solids (Clarendon Press, Oxford, 1972).
39. Y. Galerne and L. Liebert, Phys. Rev. Lett. 64, 906 (1990).
40. E. I. Kut'in, V. L. Lorman, and S. V. Pavlov, Sov. Phys. Usp. 34, 497 (1991).
41. I. E. Dzyaloshinskii, Sov. Phys. JETP 19, 960 (1964).
42. M. Pikin, Structural Transformations in Liquid Crystals (Gordon and Breach Science Publishing, 1990); V. L. Lorman, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 262, 437 (1995).
43. M. Pikin, Structural Transformations in Liquid Crystals (Gordon and Breach Science Publishing, 1990); V. L. Lorman, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 262, 437 (1995).
44. Yu. A. Izyumov and V. N. Syromiatnikov, Phase Transitions and Crystal Symmetries (Nauka, Moscow, 1984).
45. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, London, 1958).
46. I. Wirth et al., J. Mater. Chem. 11, 1642 (2001).
47. D. Shen, S. Diele, G. Pelzl, I. Wirth, and C. Tschierske, J. Mater. Chem. 9, 661 (2001).
48. S. Stojadinovic, A. Adorjan, S. Sprunt, H. Sawade, and A. Jakli, Phys. Rev. E 66, 060701 (2002); P. J. Camp, Can. J. Phys. 111, 9871 (1999).
49. S. Stojadinovic, A. Adorjan, S. Sprunt, H. Sawade, and A. Jakli, Phys. Rev. E 66, 060701 (2002); P. J. Camp, Can. J. Phys. 111, 9871 (1999).
50. D. A. Olson, X. F. Han, A. Cady, W. Weissflog, and C. C. Huang, Phys. Rev. Lett. 88, 085504 (2002).
51. M. W. Schroder, S. Diele, G. pelzl, N. Pacenko, and W. Weiss flog, Liq. Cryst. 29, 1039 (2002).
52. H. R. Brand, P. E. Cladis, and H. Pleiner, Eur. Phys. J. B 6, 347 (1998).
53. E. I. Kats and J. Lajzerowicz, e-print cond-mat/9912486.
54. A. Roy, N. V. Madhusudana, P. Tolédano, and A. M. Figeiredo Neto, Phys. Rev. Lett. 82, 1466 (1999).
55. J. V. Selinger, Phys. Rev. Lett. 90 165501 (2003).
56. J. P. Bedel, J. C. Rouillon, J. P. Marcerou, M. Laguerre, M. F. Achard, and H. T. Nguyen, Liq. Cryst. 103 (2000); J. P. Bedel, Ph.D. thesis, Bordeau I, 2000.
57. J. P. Bedel, J. C. Rouillon, J. P. Marcerou, M. Laguerre, M. F. Achard, and H. T. Nguyen, Liq. Cryst. 103 (2000); J. P. Bedel, Ph.D. thesis, Bordeau I, 2000.
58. G. Pelzl, S. Diele, S. Grande, A. Jakli, C. Lischka, H. Kresse, H. Schamllfuss, I. Wirth, and W. Weissflog, Liq. Cryst. 26, 401 (1999).
59. R. Macdonald, F. Kentischer, P. Warnick, and G. Heppke, Phys. Rev. Lett. 81, 4408 (1998).
60. J. Ortega, N. Pereda, C. L. Folcia, J. Extebarria, and M. B. Ross, Phys. Rev. E 63, 011702 (2000); S. W. Choi, Y. Ki noshita, B. Park, H. Takezoe, T. Niori, and J. Watanabe, Jpn. J. Appl. Phys., Part 1 37, 3408 (1998).
61. J. Ortega, N. Pereda, C. L. Folcia, J. Extebarria, and M. B. Ross, Phys. Rev. E 63, 011702 (2000); S. W. Choi, Y. Ki noshita, B. Park, H. Takezoe, T. Niori, and J. Watanabe, Jpn. J. Appl. Phys., Part 1 37, 3408 (1998).
62. Yu. I. Sirotin and M. P. Shaskolskaya, Basics of Crystallography (Nauka, Moscow, 1979).
63. J. Thysayutka, H. Niwano, H. Takezoe, and J. Watanabe, J. Mater. Chem. 11, 2717 (2001).
64. V. Bourny, V. Lorman, J. Pavel, B. Mettout, and H. T. Nguyen, Ferroelectrics 276, 127 (2001)
65. A. Jakli, S. Rauch, D. Lötzsch, and G. Heppke, Phys. Rev. E 57, 6737 (1998).
66. G. Heppke, A. Jàkli, S. Rauch, and H. Sawade, Phys. Rev. E 60, 5575 (1999).
67. H. R. Brand, P. E. Cladis, and H. Pleiner, Macromolecules 25, 7223 (1992).
68. A. Jakli, D. Krüerke, and G. G. Nair, Phys. Rev. E 67, 051702 (2003).