RSS feeds
РусскийEnglish
Issue 3, 2025 Retrieve →
Issues Authors PACS Subscription For authors
Search →

Issues

 / 

1988

 / 

March

←  →

Reviews of topical problems


Defects in liquid crystals: homotopy theory and experimental studies

,

The fundamental concepts of the homotopy theory of defects in liquid crystals and the results of experimental studies in this field are presented. The concepts of degeneracy space, homotopy groups, and topological charge, which are used for classifying the topologically stable inhomogeneous distributions in different liquid-crystalline phases are examined (uni and biaxial nematics, cholesterics, smectics, and columnar phases). Experimental data are given for the different mesophases on the structure and properties of dislocations, disclinations, point defects in the volume (hedgehogs) and on the surface of the medium (boojums), monopoles, domain formations, and solitons. Special attention is paid to the results of studies of defects in closed volumes (spherical drops, cylindrical capillaries), and to the connection between the topological charges of these defects and the character of the orientation of the molecules of the liquid crystal at the surface. A set of fundamentally new effects that can occur in studying the topological properties of defects in liquid crystals is discussed.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.1070/PU1988v031n03ABEH005710
PACS: 61.30.Jf, 61.30.Eb, 61.30.Gd, 64.70.Md (all)
DOI: 10.1070/PU1988v031n03ABEH005710
URL: https://ufn.ru/en/articles/1988/3/b/
Citation: Kurik M V, Lavrentovich O D "Defects in liquid crystals: homotopy theory and experimental studies" Sov. Phys. Usp. 31 196–224 (1988)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Курик М В, Лаврентович О Д «Дефекты в жидких кристаллах: гомотопическая теория и экспериментальные исследования» УФН 154 381–431 (1988); DOI: 10.3367/UFNr.0154.198803b.0381

References (249) Cited by (200) ↓ Similar articles (20)

  1. Pieranski P, Godinho M H Liquid Crystals 51 2144 (2024)
  2. Pieranski P, Godinho M H 25 367 (2024)
  3. Qing A, Zhao Y, Zhang Zh Microwaves, Millimeter Wave and Terahertz Liquid Crystals Modern Antenna Chapter 2 (2024) p. 59
  4. Ma Zh, Jiang M et al 3 (12) (2024)
  5. Wittmann R Liquid Crystals 51 2182 (2024)
  6. Borisov A B Phys. Metals Metallogr. 125 1373 (2024)
  7. Mesarec L, Kralj S et al Advances In Biomembranes And Lipid Self-Assembly Vol. 39 (2024) p. 1
  8. Zid M, Pal K et al Nanomaterials 14 436 (2024)
  9. Mesarec L, Kralj S et al Advances In Biomembranes And Lipid Self-Assembly Vol. 39 (2024) p. 41
  10. Zid M, Cordoyiannis G et al Nanomaterials 14 320 (2024)
  11. Fumeron S, Berche B Eur. Phys. J. Spec. Top. 232 1813 (2023)
  12. Borisov A B, Dolgikh D V Phys. Metals Metallogr. 124 355 (2023)
  13. Borisov A B Theor Math Phys 216 1168 (2023)
  14. Pollard J, Alexander G P Phys. Rev. Lett. 130 (22) (2023)
  15. Shalev A N, Lobanov I S, Bogdanov A A 2023 Days on Diffraction (DD), (2023) p. 1
  16. Mesarec L, Góźdź W et al Sci Rep 13 (1) (2023)
  17. Borisov A B, Dolgikh D V Doklady Rossijskoj Akademii Nauk. Fizika, Tehničeskie Nauki 513 5 (2023)
  18. Hölbl A, Ranjkesh A et al Front. Soft. Matter 3 (2023)
  19. Harkai Saša, Rosenblatt Ch, Kralj S Crystals 13 904 (2023)
  20. Monderkamp P A, Windisch R S et al 158 (16) (2023)
  21. Borisov A B, Dolgikh D V Dokl. Phys. 68 355 (2023)
  22. Borisov A B, Dolgikh D V Fizika Metallov I Metallovedenie 124 375 (2023)
  23. Jákli A, Nastishin Yu, Lavrentovich O D Liquid Crystals Reviews 11 48 (2023)
  24. Hölbl A, Mesarec L et al ACS Omega 8 169 (2023)
  25. Wei W-Sh, Jeong J et al Soft Matter 18 4360 (2022)
  26. Harkai Saša, Kralj S Eur. Phys. J. E 45 (9) (2022)
  27. Lee Y Philosophical Magazine 102 26 (2022)
  28. Borisov A B Theor Math Phys 210 99 (2022)
  29. Čopar S, Ravnik M, Žumer S Crystals 11 956 (2021)
  30. Pieranski P, Godinho M H Liquid Crystals 1 (2021) p. 193
  31. Krakhalev M N Sci Rep 11 (1) (2021)
  32. Borisov A B Ufimsk. Mat. Zh. 13 3 (2021)
  33. Delev V A Jetp Lett. 113 23 (2021)
  34. Sakamoto M, Hanasaki I Phys. Rev. E 104 (2) (2021)
  35. Monderkamp P A, Wittmann R et al Phys. Rev. Lett. 127 (19) (2021)
  36. Matharu K K, Khosla S et al Liquid Crystals 48 475 (2021)
  37. Fumeron S, Berche B, Moraes F Liquid Crystals Reviews 9 85 (2021)
  38. Kralj M, Kralj M, Kralj S Physica Status Solidi (a) 218 (17) (2021)
  39. Gudimalla A, Thomas S, Zidanšek Aleksander Journal Of Molecular Structure 1235 130217 (2021)
  40. Borisov A B Teoreticheskaya Matematicheskaya Fizika 208 471 (2021) [Borisov A B Theor Math Phys 208 1256 (2021)]
  41. Ambrožič M, Gudimalla A et al Crystals 10 576 (2020)
  42. Harkai Saša, Murray B S et al Phys. Rev. Research 2 (1) (2020)
  43. Penič S, Mesarec L et al Front. Phys. 8 (2020)
  44. Lavrentovich O D Liquid Crystals Reviews 8 59 (2020)
  45. Zhang Y-H, Deserno M, Tu Zh-Ch Phys. Rev. E 102 (1) (2020)
  46. Nesrullajev A Journal Of Molecular Liquids 304 112770 (2020)
  47. Altınay Ya, Nesrullajev A 57 22 (2020)
  48. Klemenčič E, Kurioz P et al Crystals 10 673 (2020)
  49. Gudimalla A, Lavrič M et al Int J Thermophys 41 (4) (2020)
  50. Schütz Ch, Bruckner J R et al Crystals 10 199 (2020)
  51. Suh A, Gim M-Ju et al Soft Matter (2019)
  52. Delev V A, Scaldin O A et al Jetp Lett. 109 87 (2019)
  53. Delev V A, Nazarov V N et al Jetp Lett. 110 607 (2019)
  54. Shinde A, Huang D et al ACS Nano 13 12461 (2019)
  55. Kurioz P, Mesarec L et al Physica Status Solidi (a) 216 (13) (2019)
  56. Shvetsov S, Orlova T et al Crystals 9 574 (2019)
  57. Črešnar Dejvid, Kyrou Ch et al Crystals 9 171 (2019)
  58. Drab M, Mesarec L et al Advances In Biomembranes And Lipid Self-Assembly Vol. 29 (2019) p. 159
  59. Chen S, Zhou X et al Liquid Crystals 46 67 (2019)
  60. Nesrullajev A Crystal Research And Technology 54 (4) (2019)
  61. Chiccoli C, Evangelista L R et al Phys. Rev. E 100 (3) (2019)
  62. Chiccoli C, Evangelista L R et al Sci Rep 8 (1) (2018)
  63. Shvetsov S A, Emelyanenko A V et al Polym. Sci. Ser. C 60 72 (2018)
  64. Zhou X, Chen S-B, Zhang Zh-D Chinese Phys. B 27 056103 (2018)
  65. Alexander G P Springer Series In Solid-State Sciences Vol. The Role of Topology in MaterialsTopology in Liquid Crystal Phases189 Chapter 9 (2018) p. 229
  66. Nikkhou M, Muševič Igor Soft Matter 14 9819 (2018)
  67. Kurioz P, Kralj M et al Beilstein J. Nanotechnol. 9 109 (2018)
  68. Nisoli C Springer Series In Solid-State Sciences Vol. The Role of Topology in MaterialsTopology by Design in Magnetic Nano-materials: Artificial Spin Ice189 Chapter 4 (2018) p. 85
  69. Nikkhou M, Gleeson H F, Muševič I Liquid Crystals 45 2294 (2018)
  70. Skaldin O A, Klebanov I I et al Jetp Lett. 107 695 (2018)
  71. Skaldin O A, Tarasov O S et al J. Exp. Theor. Phys. 126 255 (2018)
  72. Krakhalev M N, Gardymova A P et al Jetp Lett. 105 51 (2017)
  73. Vasylkiv Yu, Kryvyy T et al Appl. Opt. 56 9613 (2017)
  74. Riahi O, Trabelsi F et al Phase Transitions 90 299 (2017)
  75. Rahimi M, Ramezani-Dakhel H et al Nat Commun 8 (1) (2017)
  76. Mesarec L, Góźdź W et al J. Phys.: Conf. Ser. 780 012015 (2017)
  77. Gim M-Ju, Beller D A, Yoon D K Nat Commun 8 (1) (2017)
  78. Nesrullajev A Colloid Polym Sci 295 837 (2017)
  79. Mettout B, Logbo H P et al Phys. Rev. E 93 (4) (2016)
  80. Mettout B, Logbo H P et al Liquid Crystals 43 1047 (2016)
  81. Kim Y-K, Cukrov G et al Phys. Rev. E 93 (6) (2016)
  82. Wang Y, Zhang Zh, Zhou X J. Display Technol. 12 402 (2016)
  83. Chuvyrov A N, Krekhov A P et al J. Exp. Theor. Phys. 123 899 (2016)
  84. Guo J-K, Song Ja-K Opt. Express 24 7381 (2016)
  85. Chen R, Bao W, Zhang H Commun. Comput. Phys. 20 234 (2016)
  86. Kamien R D, Mosna R A New J. Phys. 18 053012 (2016)
  87. Nikkhou M, Škarabot M et al Eur. Phys. J. E 39 (10) (2016)
  88. Alama S, Bronsard L, Lamy X Phys. Rev. E 93 (1) (2016)
  89. Nikkhou M, Škarabot M, Muševič I Phys. Rev. E 93 (6) (2016)
  90. Pieranski P, Čopar S et al Eur. Phys. J. E 39 (12) (2016)
  91. Nesrullajev A Journal Of Molecular Liquids 218 531 (2016)
  92. Cvetko M, Lahajnar G et al Liquid Crystals 42 1674 (2015)
  93. Parshin A M, Zyryanov V Y, Shabanov V F Liquid Crystals 42 57 (2015)
  94. Li X-J, Zhang Zh-D Soft Materials 13 39 (2015)
  95. Lu L-X, Zhang Zh-D Chinese Phys. B 24 026102 (2015)
  96. Skaldin O A, Delev V A et al J. Exp. Theor. Phys. 121 1082 (2015)
  97. Nikkhou M, Škarabot Miha et al Nature Phys 11 183 (2015)
  98. Čopar S, Tkalec Uroš et al Proc. Natl. Acad. Sci. U.S.A. 112 1675 (2015)
  99. Timirov Yu I, Skaldin O A et al Phys. Solid State 57 1912 (2015)
  100. Buček S, Kralj S, Sluckin T J Advances In Condensed Matter Physics 2015 1 (2015)
  101. Zhou X, Zhang Zh Liquid Crystals 41 1219 (2014)
  102. Muševič Igor Handbook of Liquid Crystals 1 (2014) p. 1
  103. Foffano G, Lintuvuori J S et al Liquid Crystals Reviews 2 1 (2014)
  104. Zverev V V, Filippov B N, Dubovik M N Phys. Solid State 56 1785 (2014)
  105. Čopar S Physics Reports 538 1 (2014)
  106. Porenta T, Čopar S et al Sci Rep 4 (1) (2014)
  107. Lu L, Zhang Zh JMP 05 2080 (2014)
  108. Avci N, Borshch V et al Soft Matter 9 1066 (2013)
  109. Zhou X, Zhang Zh IJMS 14 24135 (2013)
  110. Lu L-X, Zhang Zh-D, Zhou X Acta Phys. Sin. 62 226101 (2013)
  111. Skaldin O A, Delev V A, Shikhovtseva E S Jetp Lett. 97 92 (2013)
  112. Čopar S, Dennis M R et al Phys. Rev. E 87 (5) (2013)
  113. Kralj S, Jesenek D et al Fluid Phase Equilibria 351 87 (2013)
  114. Zhou X, Zheng G, Zhang Zh JMP 04 272 (2013)
  115. Muševič I Phil. Trans. R. Soc. A. 371 20120266 (2013)
  116. Golo V L, Kats E I et al Phys. Rev. E 88 (4) (2013)
  117. Repnik R, Ranjkesh A et al J. Phys.: Condens. Matter 25 404201 (2013)
  118. Martínez C F J, Ramos R M et al J Therm Anal Calorim 108 399 (2012)
  119. Alexander G P, Chen Bryan Gin-ge et al Rev. Mod. Phys. 84 497 (2012)
  120. Seč D, Porenta T et al Soft Matter 8 11982 (2012)
  121. Tasinkevych M, Silvestre N M, Telo da Gama M M New J. Phys. 14 073030 (2012)
  122. Bagayev S N, Klementyev V M et al J. Phys.: Conf. Ser. 345 012018 (2012)
  123. Čopar S, Žumer S Phys. Rev. E 85 (3) (2012)
  124. Blinov L M Structure and Properties of Liquid Crystals Chapter 8 (2011) p. 189
  125. Skaldin O A, Delev V A et al Jetp Lett. 93 388 (2011)
  126. Prathap Ch S, Mondiot F et al Langmuir 27 15185 (2011)
  127. Skaldin O A, Timirov Yu I Jetp Lett. 90 633 (2010)
  128. Cvetko M, Ambrožič M, Kralj S Beilstein J. Org. Chem. 6 (2010)
  129. Popa-Nita V, Gerlič I, Kralj S IJMS 10 3971 (2009)
  130. Chen Bryan Gin-ge, Alexander G P, Kamien R D Proc. Natl. Acad. Sci. U.S.A. 106 15577 (2009)
  131. Hinov H P Cryst. Res. Technol. 44 327 (2009)
  132. Cvetko M, Ambrožič M, Kralj S Liquid Crystals 36 33 (2009)
  133. El’nikova L V J Supercond Nov Magn 21 473 (2008)
  134. Martínez C F J, Ramos R M et al J. Phys. Chem. B 112 16601 (2008)
  135. Yu-Sheng W, Bao-He Yu, Guo-Hong Ya Commun. Theor. Phys. 50 847 (2008)
  136. Ambrožič M, Kralj S, Virga E G Phys. Rev. E 75 (3) (2007)
  137. Martínez C F J, García P M V et al J. Phys. Chem. C 111 6826 (2007)
  138. Yu-Sheng W, Guo-Hong Ya et al Commun. Theor. Phys. 45 993 (2006)
  139. Popa-Nita V, Kralj S Phys. Rev. E 73 (4) (2006)
  140. Svetec M, Kralj S et al Eur. Phys. J. E 20 71 (2006)
  141. Das S K, Rey A D Molecular Simulation 31 201 (2005)
  142. Yang G-H, Zhang H et al Commun. Theor. Phys. 44 213 (2005)
  143. Chiccoli C, Pasini P et al Molecular Crystals And Liquid Crystals 441 319 (2005)
  144. Ambrožič M, Kralj S et al Phys. Rev. E 70 (5) (2004)
  145. Kleman M, Lavrentovich O D, Nastishin Yu A Dislocations In Solids Vol. 12 (2004) p. 147
  146. Das S K, Rey A D 121 9733 (2004)
  147. Svetec M, Brada[cbreve] Z et al Molecular Crystals And Liquid Crystals 413 43 (2004)
  148. Fukuda Jun-ichi, Stark H, Yokoyama H Phys. Rev. E 69 (2) (2004)
  149. Li L, Zhang Sh, Li Z Polymer 45 2309 (2004)
  150. Soft Matter Physics: An Introduction Chapter 12 (2003) p. 434
  151. Kaznacheev A V, Bogdanov M M, Sonin A S J. Exp. Theor. Phys. 97 1159 (2003)
  152. Li L, Liu R et al Liquid Crystals 30 259 (2003)
  153. Bradač Z, Kralj S et al Phys. Rev. E 67 (5) (2003)
  154. Repnik R, Mathelitsch L et al Eur. J. Phys. 24 481 (2003)
  155. Lavrentovich O D Patterns of Symmetry Breaking Chapter 6 (2003) p. 161
  156. Sokolovska T G, Cates M E, Sokolovskii R O Phys. Rev. Lett. 90 (23) (2003)
  157. Kaznacheev A V, Bogdanov M M, Taraskin S A J. Exp. Theor. Phys. 95 57 (2002)
  158. Kralj S, Virga E G Phys. Rev. E 66 (2) (2002)
  159. Bradač Z, Kralj S, Žumer S Phys. Rev. E 65 (2) (2002)
  160. Borisov A B Jetp Lett. 76 84 (2002)
  161. Lev B, Nych A et al Jetp Lett. 75 322 (2002)
  162. Loudet Je-Ch, Poulin P Journal Of Dispersion Science And Technology 23 143 (2002)
  163. Lavrentovich O D Encyclopedia of Materials: Science and Technology (2001) p. 6071
  164. Crawford G P, Svenšek Daniel, Žumer S Chirality in Liquid Crystals Partially Ordered Systems Chapter 12 (2001) p. 375
  165. Stark H Physics Reports 351 387 (2001)
  166. Panasyuk G, Allender D W, Kelly J 89 4777 (2001)
  167. Todorova L, Hinov H P Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 350 237 (2000)
  168. Panasyuk G, Allender D W 87 649 (2000)
  169. Thouless D J Les Houches - Ecole D’Ete De Physique Theorique Vol. Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systemsIntroduction to Topological Quantum Numbers69 Chapter 11 (1999) p. 767
  170. Kralj S, Virga E G, Žumer S Phys. Rev. E 60 1858 (1999)
  171. Physical Properties of Liquid Crystals 1 (1999) p. 87
  172. Poulin P Current Opinion In Colloid & Interface Science 4 66 (1999)
  173. Bouligand Y Handbook of Liquid Crystals Set 1 (1998) p. 406
  174. Lubensky T C, Pettey D et al Phys. Rev. E 57 610 (1998)
  175. LAVRENTOVICH O D Liquid Crystals 24 117 (1998)
  176. Poulin P, Weitz D A Phys. Rev. E 57 626 (1998)
  177. Bouligand Y Handbook of Liquid Crystals 1 (1998) p. 406
  178. Pershin V, Kushnareva T Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 302 415 (1997)
  179. Kushnareva T, Kushnarew S, Pershin V Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 302 409 (1997)
  180. Pramod P A, Hatwalne Ya, Madhusudana N V Phys. Rev. E 56 R4935 (1997)
  181. Poulin P, Stark H et al Science 275 1770 (1997)
  182. Burylov S V J. Exp. Theor. Phys. 85 873 (1997)
  183. Lubensky T C Solid State Communications 102 187 (1997)
  184. Trebin H -R, Kutka R J. Phys. A: Math. Gen. 28 2005 (1995)
  185. Terentjev E M Phys. Rev. E 51 1330 (1995)
  186. Hobdell J, Windle A Liquid Crystals 19 401 (1995)
  187. Pargellis A N, Green S, Yurke B Phys. Rev. E 49 4250 (1994)
  188. Sparavigna A, Lavrentovich O D, Strigazzi A Phys. Rev. E 49 1344 (1994)
  189. Li J-F, Percec V et al Europhys. Lett. 25 199 (1994)
  190. Braun E, Faucheux L P, Libchaber A Phys. Rev. A 48 611 (1993)
  191. Srivastava A M Phys. Rev. D 46 1353 (1992)
  192. Žumer S, Kralj S, Bezič J Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 212 163 (1992)
  193. Chiccoli C, Pasini P et al Molecular Crystals And Liquid Crystals Science And Technology. Section A. Molecular Crystals And Liquid Crystals 212 197 (1992)
  194. Kralj S, Žumer S, Allender D W Phys. Rev. A 43 2943 (1991)
  195. Lavrentovich O D Phys. Scr. T39 394 (1991)
  196. Vilfan I, Vilfan M, Žumer S Phys. Rev. A 43 6875 (1991)
  197. Chuang I, Durrer R et al Science 251 1336 (1991)
  198. Lavrentovich O D Molecular Crystals And Liquid Crystals Incorporating Nonlinear Optics 191 77 (1990)
  199. Golovataya N M, Kurik M V, Lavrentovich O D Liquid Crystals 7 287 (1990)
  200. Ovid’ko I A J. Phys. A: Math. Gen. 23 31 (1990)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions