Journal
PHYSICAL REVIEW E
Volume 86, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.86.011704
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Funding
- Foundation for Polish Science within the European Regional Development Fund of the European Union [MPD/2009/6]
- EPSRC [EP/H046941/1]
- European Regional Development Fund in the framework of the Polish Innovation Economy Operational Program [POIG.02.01.00-12-023/08]
- Engineering and Physical Sciences Research Council [EP/H046941/1] Funding Source: researchfish
- EPSRC [EP/H046941/1] Funding Source: UKRI
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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. Pajak, and T. Wydro, Phys. Rev. E 79, 040701(R) (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 (N-T), and chiral nematic tetrahedratic (N-T*) phases of global T-d, D-2d, and D-2 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 N-T* phase is also given.
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