General spectral function expressions of a 1D correlated model

TL;DR

This paper presents a comprehensive method to evaluate spectral functions of the 1D Hubbard model across all energies and momenta using pseudofermion operators, aiding the understanding of complex quantum systems.

Contribution

It introduces a novel approach expressing spectral functions as convolutions of pseudofermion dynamical correlations valid for all finite energies and momenta.

Findings

Spectral functions expressed as convolutions of pseudofermion correlations

Applicable to all energy and momentum values in 1D Hubbard model

Useful for studying quasi-1D compounds and ultra-cold fermionic systems

Abstract

We introduce a method that allows the evaluation of general expressions for the spectral functions of the one-dimensional Hubbard model for all values of the on-site electronic repulsion U. The spectral weights are expressed in terms of pseudofermion operators such that the spectral functions can be written as a convolution of pseudofermion dynamical correlation functions. Our results are valid for all finite energy and momentum values and are used elsewhere in the study of the unusual finite-energy properties of quasi-one-dimensional compounds and the new quantum systems of ultra-cold fermionic atoms on an optical lattice.