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

TL;DR

This paper investigates the dynamic conductivity of one-dimensional ion conductors using a hard-core boson lattice model, analyzing impedance, Nyquist diagrams, and phase behaviors through exact diagonalization.

Contribution

It provides a detailed analysis of frequency-dependent conductivity and impedance in 1D ion conductors, highlighting phase-specific behaviors and employing exact diagonalization for finite clusters.

Findings

Frequency dependence of dynamic conductivity varies with interaction strength.

Nyquist diagrams reveal phase-specific impedance characteristics.

Static component (Drude weight) behavior differs in CDW and SF phases.

Abstract

Dynamic conductivity of the one-dimensional ion conductor is investigated at different values of the interaction constant between particles and the modulating field. The consideration is based on the hard-core boson lattice model. Calculations are performed for finite one-dimensional cluster using the exact diagonalization method. Frequency dependence of the dynamic conductivity and behaviour of its static component (Drude weight) in the charge-density-wave (CDW) and superfluid (SF) phases are studied. Frequency dispersion of impedance and loss tangent is calculated; the Nyquist diagrams are built and analyzed.