24-01U

The energy spectrum of a one-dimensional finite ionic conductor with periodic boundary conditions was calculated within the framework of the extended hard-core boson lattice model using the exact diagonalization technique. The single-particle correlation was investigated in this research, and structure and dynamic structure factors at temperature T = 0 were calculated. The presence of long-range single-particle correlation in the superfluid-type phase is shown. The presence of an ordered modulated (CDW) phase at ρ = 0.5 is confirmed by the obtained maxima of the structural factor at k = π/a for the half-filled ion positions (density ρ = 0.5).