Exact Plaquette-Ordered Ground States with Exact Edge States of the Generalized Hubbard Model in Corner Sharing Lattices

TL;DR

This paper derives exact plaquette-ordered ground states and edge states for a generalized Hubbard model on corner sharing lattices, providing insights into their entanglement properties and magnetic order.

Contribution

It introduces a method to find exact ground and edge states in complex lattice models, expanding understanding of strongly correlated electron systems.

Findings

Exact plaquette-ordered ground states identified for Kagome, checkerboard, and pyrochlore lattices.

Presence of exact edge states in these models confirmed.

Entanglement entropy calculated exactly, revealing quantum correlations.

Abstract

We discuss exact plaquette-ordered ground states of the generalized Hubbard model based on the projection operator method for several corner sharing lattices: Kagome, checkerboard, and pyrochlore lattices. The obtained exact ground states are interpreted as N\'eel ordered states on the plaquette-located electrons. We demonstrate that these models also have exact edge states. We also calculate the entanglement entropy exactly in these systems.