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

TL;DR

This paper investigates the spectral properties and state diagrams of a one-dimensional ionic conductor modeled with mixed Pauli statistics, revealing phase transitions and state characteristics through exact diagonalization.

Contribution

It introduces a detailed analysis of spectral densities and state diagrams for a 1D ionic conductor with mixed Pauli statistics, highlighting phase transitions.

Findings

Transition from Mott insulator to charge density wave state

Identification of superfluid-like state with Bose-Einstein condensation features

Spectral densities vary with temperature and interaction strength

Abstract

We focus on the features of spectra and diagrams of states obtained via exact diagonalization technique for finite ionic conductor chain in periodic boundary conditions. One dimensional ionic conductor is described with the lattice model where ions are treated within the framework of "mixed" Pauli statistics. The ion transfer and nearest-neighbour interaction between ions are taken into account. The spectral densities and diagrams of states for various temperatures and values of interaction are obtained. The conditions of transition from uniform (Mott insulator) to the modulated (charge density wave state) through the superfluid-like state (similar to the state with the Bose-Einstein condensation observed in hard-core boson models) are analyzed.