Spectral densities of one-dimensional Pauli conductor obtained via exact diagonalization technique

We investigate the energy spectrum of one-dimensional ionic conductor described with Pauli statistics taking into account ion transfer as well as the short-range non-local correlation between particles. Both commutator and anticommutator Green's functions constructed of Pauli creation and annihilation operators are calculated using exact diagonalization technique on the basis of finite ionic chains with periodic boundary conditions. The frequency dependencies of one-particle spectral densities are calculated. In the limit of vanishing correlation strength the results are compared with the ones obtained by means of fermionization procedure while for different correlation strengths the results are compared to the ones obtained via exact diagonalization technique for similar systems described with Fermi statistics.