Abstract

We use dynamic light scattering to investigate the fluctuation modes of a chiral smectic-$A$ liquid crystal which exhibits a metastable one-dimensional modulation of the smectic layers parallel to the average layer plane. The modulation, which contains two components (a ``main'' and ``fine'' structure), breaks translational symmetry in the layer plane, and produces two new hydrodynamic fluctuation modes in addition to the director fluctuations. In a sufficiently large applied electric field, the modulation is destabilized: large amplitude fluctuations of the symmetry-restoring modes are observed. Both the frequency and dispersion of these modes change significantly from the zero field case. We present a phenomenological elastic theory, which quantitatively describes the measured dispersion of the mode frequencies and amplitudes, in both zero and high applied field. We also discuss how the transition from zero to high applied field might be understood in terms of recent theories of smectic phases with broken layer inversion symmetry, which predict a nontrivial renormalization of the elastic constants due to anharmonic fluctuations.

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