Chen Leiming, Toner John
College of Science, The China University of Mining and Technology, Xuzhou Jiangsu, 221116, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):042501. doi: 10.1103/PhysRevE.87.042501. Epub 2013 Apr 2.
We study theoretically the smectic-A to -C phase transition in isotropic disordered environments. Surprisingly, we find that, as in the clean smectic-A to -C phase transition, smectic layer fluctuations do not affect the nature of the transition, in spite of the fact that they are much stronger in the presence of the disorder. As a result, we find that the universality class of the transition is that of the "random field XY model" (RFXY).