New integrable model of correlated electrons with off-diagonal long-range order from $so(5)$ symmetry

TL;DR

This paper introduces a new exactly solvable model for correlated electrons with off-diagonal long-range order, based on $so(5)$ symmetry, solved via Bethe ansatz, and demonstrates that certain eigenstates are in the ground state.

Contribution

The paper develops a novel integrable electron model with $so(5)$ symmetry and constructs ground states exhibiting off-diagonal long-range order using $ exteta$-pairing.

Findings

Eigenstates with off-diagonal long-range order are in the ground state sector.

The model is exactly solvable on a 1D lattice using Bethe ansatz.

The $so(5)$ symmetry underpins the integrability and properties of the model.

Abstract

We present a new integrable model for correlated electrons which is based on a $so(5)$ symmetry. By using an $\eta$-pairing realization we construct eigenstates of the Hamiltonian with off-diagonal long-range order. It is also shown that these states lie in the ground state sector. We exactly solve the model on a one-dimensional lattice by the Bethe ansatz.