Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions

Karol Trojanowski, Grzegorz Pajak, L. Longa, Thomas Wydro

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)
63 Downloads (Pure)


We present an exhaustive account of phases and phase transitions that can be stabilized in the recently introduced generalized Lebwohl-Lasher model with quadrupolar and octupolar microscopic interactions [ L. Longa, G. Pająk and T. Wydro Phys. Rev. E 79 040701 (2009)]. A complete mean-field analysis of the model, along with Monte Carlo simulations allows us to identify four distinct classes of the phase diagrams with a number of multicritical points where, in addition to the standard uniaxial and biaxial nematic phases, the other nematic like phases are stabilized. These involve, among the others, tetrahedratic (T), nematic tetrahedratic (NT), and chiral nematic tetrahedratic (NT*) phases of global Td, D2d, and D2 symmetry, respectively. Molecular order parameters and correlation functions in these phases are determined. We conclude with generalizations of the model that give a simple molecular interpretation of macroscopic regions with opposite optical activity (ambidextrous chirality), observed, e.g., in bent-core systems. An estimate of the helical pitch in the NT* phase is also given.
Original languageEnglish
Article number011704
Number of pages13
JournalPhysical Review E
Issue number1
Publication statusPublished - 12 Jul 2012


  • microscopic interactions
  • Monte Carlo simulation
  • uniaxial nematic phases
  • biaxial nematic phases


Dive into the research topics of 'Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions'. Together they form a unique fingerprint.

Cite this