Density of states of one-dimensional Pauli ionic conductor

Microscopic one-dimensional noninteracting model for the description of the energy spectrum of the ion subsystem in ionic conductor is considered.The processes of ionic hoppings are described in terms of Pauli operators.Time-dependent correlation functions b(t)b + (0) j in Pauli operators are obtained using the exact numerical procedure known for time-dependent spin correlation functions.The frequency dependence of autocorrelation function J bb + (ω) is calculated and analysed at the wide range of temperatures.The frequency and temperature dependences of the one-particle density of states are investigated.