Phase transitions and dynamical properties of quasi-one-dimensional structures with hydrogen bonds

The frequency dependence of dynamical conductivity of the quasi-one-dimensional structures with hydrogen bonds is studies on the bases of pseudospin-electron model. It is taken into account the proton-electron interaction, external longitudinal field h, the tunneling hopping of protons, electron transfer and direct interaction between protons. The dependence of the electron concentration and mean number of protons on site on temperature and external field are obtained. The phase transition lines from uniform phase into charge ordered phase is determined. The dependence of the dynamical conductivity on temperature and field h and it changes at the phase transitions are obtained.