Flexoelectricity and piezoelectricity - reason for rich variety of phases in antiferroelectric liquid crystals

The free energy of antiferroelectric liquid crystal which takes into account polar order explicitly is presented. Steric, van der Waals, piezoelectric and flexoelectric interactions to the nearest layers and dipolar electrostatic interactions to the nearest and to the next nearest layers induce indirect tilt interactions with chiral and achiral properties, which extend to the third and to the fourth nearest layers. Chiral indirect interactions between tilts can be large and induce helicoidal modulations even in systems with negligible chiral van der Waals interactions. If indirect chiral interactions compete with chiral van der Waals interactions, the helix unwinding is possible. Although strength of microscopic interactions change monotonically with decreasing temperature, effective interlayer interactions change nonmonotonically and give rise to nonmonotouous change of modulation period through various phases. Increased enatiomeric excess i.e. increased chirality changes the phase sequence.Comment: 4 pages, 1 figur

Dielectric response of a ferroelectric nematic liquid crystalline phase in thin cells

We studied dielectric properties of a polar nematic phase (NF) sandwiched between two gold or ITO electrodes, serving as a cell surfaces. In bulk, NF is expected to exhibit a Goldstone mode (phason), because polarization can uniformly rotate with no energy cost. However, because the coupling between the direction of nematic director and polarization is finite, and the confinement, even in the absence of the aligning surface layer, induces some energy cost for a reorientation of polarization, the phason dielectric relaxation frequency is measured in a kHz regime. The phason mode is easily quenched by a bias electric field, which enables fluctuations in the magnitude of polarization to be followed in both, the ferronematic and nematic phases. This amplitude (soft) mode is also influenced by boundary conditions. A theory describing the phase and amplitude fluctuations in the NF phase shows that the free energy of the system and, consequently, the dielectric response are dominated by polarization-related terms with the flexoelectricity being relevant only at a very weak surface anchoring. Contributions due to the nematic elastic terms are always negligible. The model relates the observed low frequency mode to the director fluctuations weakly coupled to polarization fluctuations

Re-entrant ferroelectricity in liquid crystals

The ferroelectric (Sm C$^*$) -- antiferroelectric (Sm C$^*_A$) -- reentrant ferroelectric (re Sm C$^*$) phase temperature sequence was observed for system with competing synclinic - anticlinic interactions. The basic properties of this system are as follows (1) the Sm C$^*$ phase is metastable in temperature range of the Sm C$^*_A$ stability (2) the double inversions of the helix handedness at Sm C$^*$ -- Sm C$^*_A$ and Sm C$^*_A$% -- re-Sm C$^*$ phase transitions were found (3) the threshold electric field that is necessary to induce synclinic ordering in the Sm C$^*_A$ phase decreases near both Sm C$^*_A$ -- Sm C$^*$ and Sm C$^*_A$ -- re-Sm C$^*$ phase boundaries, and it has maximum in the middle of the Sm C$^*_A$ stability region. All these properties are properly described by simple Landau model that accounts for nearest neighboring layer steric interactions and quadrupolar ordering only.Comment: 10 pages, 5 figures, submitted to PR

Chiroclinic effect

The effect of a chiral dopant or chiral molecular properties on the polarly ordered smectic system made of achiral bent-core molecules is studied theoretically. Two phenomena are predicted: a) A non-tilted antiferroelectrically ordered system becomes tilted upon chiral doping. b) Magnitudes of the tilt and polarization differ in layers with opposite chiralities, if the synclinic antiferroelectric structure is stable. Both phenomena are induced by the chiral field of dopants or the chiral field of chiral bent-core molecules themselves. Therefore the name chiroclinic effect is suggested for the phenomena

Temperature ranges of the chiral polar smectic phases

The paper presents the analysis of static and dynamic properties of achiral polar smectic doped with chiral dopant. In this system the two phases with equal symmetries exist, the $\mathrm{SmAP}_{\mathrm{A}}^*$ and the $\mathrm{SmC}_{\mathrm{A}}\mathrm{P}_{\mathrm{A}}^*$ phase, which continuously transform one to the other upon temperature changes. The analysis of dynamical properties allowed for the development of the criterion which determines the temperature ranges of the two phases. Besides, the analysis of collective modes revealed that they are either amplitude or phase. However, in many of them the character changes from polar to tilt or vice versa. The collective modes occur in pairs of opposite chiralities. The chiral character of modes explains also the gaps which occur between the amplitude modes