Finite-Energy Spectral-Weight Distributions of a 1D Correlated Metal

TL;DR

This paper derives analytical expressions for finite-energy spectral-weight distributions in one-dimensional correlated metals and cold atom systems, revealing underlying microscopic mechanisms behind their exotic spectral properties.

Contribution

It provides the first general closed-form formulas for spectral functions in 1D correlated systems, applicable to both electronic and cold atom contexts.

Findings

Analytical spectral-weight distributions derived for 1D correlated metals.

Results applicable to cold fermionic atoms in optical lattices.

Reveals microscopic mechanisms behind exotic spectral properties.

Abstract

We derive general closed-form analytical expressions for the finite-energy one- and two-electron spectral-weight distributions of an one-dimensional correlated metal with on-site electronic repulsion. Our results also provide general expressions for the one- and two-atom spectral functions of a correlated quantum system of cold fermionic atoms in a one-dimensional optical lattice with on-site atomic repulsion. In the limit of zero spin density our spectral-function expressions provide the correct zero-spin density results. Our results reveal the dominant non-perturbative microscopic many-particle mechanisms behind the exotic spectral properties observed in quasi-one-dimensional metals and correlated systems of cold fermionic atoms in one-dimensional optical lattices.