Skyrmions in nematic liquid crystals

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

Volumn 67, Issue 1 2, 2003, Pages 166021-166028

  Bogdanov, A N ^a,b   Rossler U K ^a   Shestakov, A A ^b  

^a IFW DRESDEN   (Germany)

^b DONETSK PHYSICOTECHNICAL INSTITUTE   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

FREE ENERGY; FUNCTIONS; NANOSTRUCTURED MATERIALS; SOLITONS; SUPERCONDUCTING MATERIALS;

LOCALIZED STATES;

NEMATIC LIQUID CRYSTALS;

EID: 0038732357     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. R. Rajaraman Solitons and Instantons (North-Holland, Amsterdam, 1982).
2. V.G. Makhankov, Y.P. Rybakov, and V.I. Sanyuk, Usp. Fiz. Nauk 164, 121 (1994) [Phys. Usp. 62 113 (1994)]
3. N.D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
4. A.A. Belavin and A.M. Polyakov, Pis'ma Zh. Éksp. Teor. Fiz. 22, 503 (1975) [JETP Lett. 22, 245 (1975)].
5. T.H.R. Skyrme, Proc. R. Soc. London, Ser. A 260, 127 (1961).
6. C.E. Zaspel, T.E. Grigereit, and J.E. Drumheller, Phys. Rev. Lett. 74, 4539 (1995).
7. A.N. Bogdanov and U.K. Rößler, Phys. Rev. Lett. 87, 037203 (2001).
8. S.L. Sondhi, A. Karlhede, S.A. Kivelson, and E.H. Rezayi, Phys. Rev. B 47, 16419 (1993); J. Eom et al., Science 289, 2320 (2000).
9. S.L. Sondhi, A. Karlhede, S.A. Kivelson, and E.H. Rezayi, Phys. Rev. B 47, 16419 (1993); J. Eom et al., Science 289, 2320 (2000).
10. U. Al Khawaja and H.T.C. Stoof, Phys. Rev. A 64, 043612 (2002); Nature (London) 411, 918 (2001); R.A. Battye, N.R. Cooper, and P.M. Sutcliffe, Phys. Rev. Lett. 88, 080401 (2002).
11. U. Al Khawaja and H.T.C. Stoof, Phys. Rev. A 64, 043612 (2002); Nature (London) 411, 918 (2001); R.A. Battye, N.R. Cooper, and P.M. Sutcliffe, Phys. Rev. Lett. 88, 080401 (2002).
12. U. Al Khawaja and H.T.C. Stoof, Phys. Rev. A 64, 043612 (2002); Nature (London) 411, 918 (2001); R.A. Battye, N.R. Cooper, and P.M. Sutcliffe, Phys. Rev. Lett. 88, 080401 (2002).
13. J.H. Smet, R.A. Deutschmann, F. Ertl, W. Wegscheider, G. Abstreiter, and K. von Klitzing, Nature (London) 415, 281 (2002).
14. S. Haas, P.C. Zhang, F. Mila, and T.M. Rice, Phys. Rev. Lett. 77, 3021 (1996).
15. E.C. Marino, Phys. Rev. B 61, 1588 (2000); H. Walliser and G. Holzwarth, ibid. 61, 2819 (2000).
16. E.C. Marino, Phys. Rev. B 61, 1588 (2000); H. Walliser and G. Holzwarth, ibid. 61, 2819 (2000).
17. N.N. Scoccola and D.R. Bes, J. High Energy Phys. 09, 012 (1998).
18. A.A. Abrikosov, Zh. Éksp. Teor. Fiz, 32, 1442 (1957) [Sov. Phys. JETP 5, 1174 (1957)]; U. Essmann, Physica (Amsterdam) 55, 83 (1971).
19. A.A. Abrikosov, Zh. Éksp. Teor. Fiz, 32, 1442 (1957) [Sov. Phys. JETP 5, 1174 (1957)]; U. Essmann, Physica (Amsterdam) 55, 83 (1971).
20. R.J. Donnelly, Quanitized Vortices in Helium II (Cambridge University Press, New York, 1991).
21. P.O. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).
22. A. Kudryavtsev, B. Piette, and W.J. Zakrzewski, Eur. Phys. J.n C l, 333 (1998); T. Weidig, Nonlinearity 12, 1489 (1999); M. Haie, O. Schwindt, and T. Weidig, Phys. Rev. E 62, 4333 (2000).
23. A. Kudryavtsev, B. Piette, and W.J. Zakrzewski, Eur. Phys. J.n C l, 333 (1998); T. Weidig, Nonlinearity 12, 1489 (1999); M. Haie, O. Schwindt, and T. Weidig, Phys. Rev. E 62, 4333 (2000).
24. A. Kudryavtsev, B. Piette, and W.J. Zakrzewski, Eur. Phys. J.n C l, 333 (1998); T. Weidig, Nonlinearity 12, 1489 (1999); M. Haie, O. Schwindt, and T. Weidig, Phys. Rev. E 62, 4333 (2000).
25. A.N. Bogdanov and U.K. Rößler (unpublished).
26. A.N. Bogdanov and A.A. Shestakov, Zh. Éksp. Teor. Fiz. 113, 1675 (1998) [JETP 86, 911 (1998)]; Low Temp. Phys. 23, 769 (1997).
27. A.N. Bogdanov and A.A. Shestakov, Zh. Éksp. Teor. Fiz. 113, 1675 (1998) [JETP 86, 911 (1998)]; Low Temp. Phys. 23, 769 (1997).
28. A. Bogdanov and A. Hubert, J. Magn. Magn. Mater. 195, 182 (1999).
29. M.E. Gouvêa, G.M. Wysin, A.R. Bishop, and F.G. Mertens, Phys. Rev. B 39, 11840 (1989).
30. R.H. Hobart, Proc. Phys. Soc. 82, 201 (1963); G.H. Derrick, J. Math. Phys. 5, 1252 (1964); A. Bogdanov, Pis'ma Zh. Éksp. Teor. Fiz. 62, 231 (1995) [JETP Lett. 62, 247 (1995)].
31. R.H. Hobart, Proc. Phys. Soc. 82, 201 (1963); G.H. Derrick, J. Math. Phys. 5, 1252 (1964); A. Bogdanov, Pis'ma Zh. Éksp. Teor. Fiz. 62, 231 (1995) [JETP Lett. 62, 247 (1995)].
32. R.H. Hobart, Proc. Phys. Soc. 82, 201 (1963); G.H. Derrick, J. Math. Phys. 5, 1252 (1964); A. Bogdanov, Pis'ma Zh. Éksp. Teor. Fiz. 62, 231 (1995) [JETP Lett. 62, 247 (1995)].
33. Yu.A. Izyumov, Usp. Fiz. Nauk 144, 439 (1984) [Sov. Phys. Usp. 27, 875 (1984)]; P.I. Melnichuk, A.N. Bogdanov, U.K. Rößler, and K.-H. Müller, J. Magn. Magn. Mater. 248, 142 (2002).
34. Yu.A. Izyumov, Usp. Fiz. Nauk 144, 439 (1984) [Sov. Phys. Usp. 27, 875 (1984)]; P.I. Melnichuk, A.N. Bogdanov, U.K. Rößler, and K.-H. Müller, J. Magn. Magn. Mater. 248, 142 (2002).
35. U. Enz, J. Math. Phys. 18, 347 (1977); Ar. Abanov and V.L. Pokrovsky, Phys. Rev. B 58, R8889 (1998).
36. U. Enz, J. Math. Phys. 18, 347 (1977); Ar. Abanov and V.L. Pokrovsky, Phys. Rev. B 58, R8889 (1998).
37. A.N. Bogdanov and D.A. Yablonskii, Zh. Éksp. Teor. Fiz. 95, 178 (1989) [Sov. Phys. JETP 68, 101 (1989)]; A. Bogdanov and A. Hubert, J. Magn. Magn. Mater. 138, 255 (1994).
38. A.N. Bogdanov and D.A. Yablonskii, Zh. Éksp. Teor. Fiz. 95, 178 (1989) [Sov. Phys. JETP 68, 101 (1989)]; A. Bogdanov and A. Hubert, J. Magn. Magn. Mater. 138, 255 (1994).
39. R. Blumenfeld and R. Balakrishnan, J. Phys. A 33, 2459 (2000).
40. L. Brey, H.A. Fertig, R. Côté, and A.H. MacDonald, Phys. Rev. Lett. 75, 2562 (1995); Y.V. Nazarov and A.V. Khaetskii, ibid. 80, 576 (1998).
41. L. Brey, H.A. Fertig, R. Côté, and A.H. MacDonald, Phys. Rev. Lett. 75, 2562 (1995); Y.V. Nazarov and A.V. Khaetskii, ibid. 80, 576 (1998).
42. M. Kawachi, O. Kogure, and Y. Kato, Jpn. J. Appl. Phys. 13, 1457 (1974); T. Nagaya, H. Hotta, H. Orihare, and Y. Ishibashi, J. Phys. Soc. Jpn. 60, 1572 (1991).
43. M. Kawachi, O. Kogure, and Y. Kato, Jpn. J. Appl. Phys. 13, 1457 (1974); T. Nagaya, H. Hotta, H. Orihare, and Y. Ishibashi, J. Phys. Soc. Jpn. 60, 1572 (1991).
44. J. Nehring and M.S. Petty, Phys. Lett. 40A, 307 (1972).
45. I. Chuang, N. Turok, and B. Yurke, Phys. Rev. Lett. 66, 2472 (1991); I. Chuang, B. Yurke, A.N. Pargellis, and N. Turok, Phys. Rev. E 47, 3343 (1993).
46. I. Chuang, N. Turok, and B. Yurke, Phys. Rev. Lett. 66, 2472 (1991); I. Chuang, B. Yurke, A.N. Pargellis, and N. Turok, Phys. Rev. E 47, 3343 (1993).
47. W. Wang, T. Shiwaku, and T. Hashimoto, J. Chem. Phys. 108, 1618 (1998).