Exact ground states of generalized Hubbard models

TL;DR

This paper introduces a straightforward method to construct exact ground states of generalized Hubbard models across dimensions, providing rigorous stability criteria and improved bounds compared to traditional approaches.

Contribution

A simple, more effective method for deriving exact ground states and stability conditions in generalized Hubbard models across arbitrary dimensions.

Findings

Derived rigorous stability criteria for various ground states

Provided improved bounds for stability regions

Applied method to eta-pairing, Ne9el, and ferromagnetic states

Abstract

We present a simple method for the construction of exact ground states of generalized Hubbard models in arbitrary dimensions. This method is used to derive rigorous criteria for the stability of various ground state types, like the $\eta$-pairing state, or N\'eel and ferromagnetic states. Although the approach presented here is much simpler than the ones commonly used, it yields better bounds for the region of stability.