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Diagrams of State for One-Dimensional Hydrogen-Bonded Proton Conductor

We investigate the equilibrium states of one-dimensional proton conductor where protons can move in the subsystem of hydrogen bonds. The consideration is based on the orientational-tunnelling model that takes into account two-stage mechanism of proton transfer (inter-bond and intra-bond hopping according to Grotthuss) as well as the short-range interaction between protons. Using exact diagonalization method for the finite cluster we have obtained one-particle spectral densities and found conditions of appearance of the various states of the system, in particular, charge density wave (CDW) like state and the state similar to superfluid (SF) phase (that can be analogues to superionic one). The corresponding diagrams of states are built and discussed.