Richardson-Gaudin states of non-zero seniority II: Single-reference treatment of strong correlation

TL;DR

This paper introduces a single-reference method based on Richardson-Gaudin states to efficiently model strongly correlated systems, achieving comparable accuracy to traditional methods at polynomial computational cost.

Contribution

It presents a novel single-reference approach using Richardson-Gaudin states for strong correlation, offering a computationally feasible alternative to configuration interaction methods.

Findings

Achieves accurate results for strongly correlated systems

Operates at polynomial computational cost

Provides a viable alternative to traditional configuration interaction methods

Abstract

Strongly correlated systems are well described as a configuration interaction of Slater determinants classified by their number of unpaired electrons. This treatment is however unfeasible. In this manuscript, it is demonstrated that single reference methods built from Richardson-Gaudin states yield comparable results at polynomial cost.