Interpretation of dielectric spectroscopy measurements of ferroelectric nematic liquid crystals

Abstract: The magnitude of the relative permittivity of the ferroelectric nematic phase (NF) is under a lively scientific discussion since the phase was recently discovered. Dielectric spectroscopy measurements (DSM) give a huge value of relative permittivity, which depends on the cell thickness, but this is argued to result from a misinterpretation of the DSM results. We have conducted DSM using a set of cells differing in thickness of the NF layer, type of electrodes and presence/absence of nanoscale-thick surface layers. To model the DSM results, cells are presented by an equivalent electric circuit that includes a capacitor due to the NF layer with frequency dependent complex relative permittivity, capacitors due to surface layers, and a resistor describing limited conductivity of electrodes. DSM results for different cells with the same liquid crystal in the NF phase, are semi-quantitatively reproduced by the same set of physical parameters if a huge relative permittivity of the NF, which is even orders of magnitude larger than the measured apparent values, is assumed. We show that the capacitance of surface layers should be considered also in cells with no polymer alignment layer on electrodes.