Topological defects in bicontinuous phasesP. Pieranski
Laboratoire de Physique des Solides, Université Paris-Sud - Bât. 510, 91405 Orsay, France
received 13 December 2007; accepted in final form 23 January 2008; published March 2008
published online 22 February 2008
It is shown that in balanced bicontinuous cubic lyotropic crystals two types of dislocations are possible. The first, trivial type of dislocations preserves the orientability of the surfactant bilayer. Dislocations of the second, Möbius type make the bilayer non-orientable. Upon melting of the cubic phase into the sponge phase, crystal order is destroyed but Möbius dislocations persist by virtue of topological continuity as disorientation: a new kind of topological defects which, by definition, alter the orientability of the bilayer.
61.30.Jf - Defects in liquid crystals.
61.30.St - Lyotropic phases.
61.72.Bb - Theories and models of crystal defects.
© EPLA 2008