Metal–insulator-like transition in the energy spectrum of a one-dimensional proton (ionic) conductor

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

“…The protons only occupy some of the positions available (while other positions remain unoccupied) that is a general feature of ordered phases that exist in superionic crystals. Similar effect was found for ionic and proton conductors described by the analogous models in frames of Fermi statistics [13,14] as well as for the Pauli ionic conductor [18]. Keeping this in mind we will call this state CDW though the doubling of lattice period is not observed (while it is observed in "real" CDW phases).…”

“…The other authors have studied the influence of phonons on the proton subsystem and the transition from ferroelastic to superionic phase [8][9][10]. Some recent attempts based on the orientational-tunnelling model [11] have developed the approach focused on the short-range interaction between protons while also including the proton hopping into consideration [12][13][14].…”

Spectral densities and diagrams of states of one-dimensional ionic Pauli conductor

“…A similar effect was found for ionic and proton conductors described by the similar models within the framework of Fermi statistics. It was connected with the splitting of spectra due to charge ordering with doubling of the lattice period [11,12]. The detailed analysis of spectral densities of Fermi and Pauli models of ionic conductor can be found in [29].…”

“…Some of them treat ions as Fermi-particles focusing on different aspects of the ionic subsystem like long-range interactions [3][4][5] or interaction with phonons [6,7]. Some recent attempts have also been made towards short-range interactions between particles [8][9][10][11][12].…”

Dynamic conductivity of one-dimensional ion conductors. Impedance, Nyquist diagrams

“…As a rule, the Bose-Hubbard model is used here at arbitrary occupation of local particle positions (see review [16]). There are also used the models based on Fermi statistics [17][18][19][20][21] or on the "mixed" Pauli statistics [1,[22][23][24][25][26][27][28][29][30][31][32][33][34][35], where particles are of Bose nature, but they obey the Fermi rule as well. The lattice model of Pauli particles is similar to the Bose-Hubbard model in the hard-core approximation (provided that the occupation numbers are restricted, n i = 0, 1).…”