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 journalArticle

18 Citations (Scopus)

Abstract

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.
LanguageEnglish
Article number011704
Number of pages13
JournalPhysical Review E
Volume86
Issue number1
DOIs
Publication statusPublished - 12 Jul 2012

Fingerprint

Interaction
optical activity
interactions
chirality
phase diagrams
Optical Activity
Chirality
Biaxial
symmetry
estimates
Order Parameter
Mean Field
Phase Diagram
Correlation Function
Phase Transition
simulation
Monte Carlo Simulation
Model
Distinct
Symmetry

Keywords

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

Cite this

Trojanowski, Karol ; Pajak, Grzegorz ; Longa, L. ; Wydro, Thomas. / Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions. In: Physical Review E. 2012 ; Vol. 86, No. 1.
@article{723b62c7bee74034b5581e6314e6f51d,
title = "Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions",
abstract = "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.",
keywords = "microscopic interactions, Monte Carlo simulation, uniaxial nematic phases, biaxial nematic phases",
author = "Karol Trojanowski and Grzegorz Pajak and L. Longa and Thomas Wydro",
year = "2012",
month = "7",
day = "12",
doi = "10.1103/PhysRevE.86.011704",
language = "English",
volume = "86",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions. / Trojanowski, Karol; Pajak, Grzegorz; Longa, L.; Wydro, Thomas.

In: Physical Review E, Vol. 86, No. 1, 011704, 12.07.2012.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Tetrahedratic mesophases, chiral order, and helical domains induced by quadrupolar and octupolar interactions

AU - Trojanowski, Karol

AU - Pajak, Grzegorz

AU - Longa, L.

AU - Wydro, Thomas

PY - 2012/7/12

Y1 - 2012/7/12

N2 - 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.

AB - 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.

KW - microscopic interactions

KW - Monte Carlo simulation

KW - uniaxial nematic phases

KW - biaxial nematic phases

UR - http://www.scopus.com/inward/record.url?scp=84863972581&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.86.011704

DO - 10.1103/PhysRevE.86.011704

M3 - Article

VL - 86

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 011704

ER -