Landau theory of cholesteric blue phases: The role of higher harmonics

H. Grebel, R. M. Hornreich, S. Shtrikman

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

The Landau theory of blue phases (BP) in cholesteric liquid systems is further developed by systematically including the effect of higher harmonics in the structure factor on the free energy. The inclusion of a third harmonic results in two new body-centered-cubic (bcc) structures, Ob8 and Oc8, in addition to the bcc O5 (I 432) and Oa8 (I 4132) and simple-cubic O2 (P 4232) structures previously obtained [Phys. Rev. A 28 1114 (1983)] in the two-harmonic framework. Introducing a fourth harmonic does not lead to any further structures or significant changes in the free energies. Detailed results of the Landau-theory calculations are compared with experimental data and those obtained with other models. It is shown that, in general, the observed properties of BP I and BP II are consistent with the structure assignment BP IOc8 and BP IIO2. Some points requiring further investigation and clarification are indicated.

Original languageEnglish (US)
Pages (from-to)3264-3278
Number of pages15
JournalPhysical Review A
Volume30
Issue number6
DOIs
StatePublished - 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Landau theory of cholesteric blue phases: The role of higher harmonics'. Together they form a unique fingerprint.

Cite this