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Current issue   Ukr. J. Phys. 2014, Vol. 59, N 5, p.515-522


Stetsiv R.Ya., Stasyuk I.V., Vorobyov O.

Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine
(1, Svientsitskyi Str., Lviv 79011, Ukraine; e-mail: stetsiv@icmp.lviv.ua)

Energy Spectrum and State Diagrams of One-Dimensional Ionic Conductor

Section: Solid matter
Original Author's Text: Ukrainian

Abstract: The energy spectrum for a finite one-dimensional ionic conductor with periodic boundary conditions has been calculated using the exact diagonalization technique. The ionic conductor is described in the framework of the lattice model, with particles obeying the “mixed” Pauli statistics. The model involves the ion transfer, interaction between neighbor ions, and modulating field. One-particle spectral densities are calculated, and phase diagrams are plotted for various temperatures, magnitudes of interaction between particles, and modulating field strengths. Conditions for the transition from the charge-density-wave phase to the superfluid one with the Bose–Einstein condensate (it can be an analog of the superionic phase) and to Mott-insulator type phase are investigated.

Key words: ionic conductor, spectral density, hard-core boson model, phase diagrams.