# Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice

## TL;DR

This paper investigates how temperature and magnetic field influence entanglement between spin pairs in the Shastry-Sutherland lattice, using analytical and numerical methods to connect entanglement regimes with spectral properties.

## Contribution

It provides a combined analytical and numerical analysis of thermal entanglement in the Shastry-Sutherland lattice, linking entanglement regimes to the spin gap and spectral features.

## Key findings

- Fully entangled pairs coincide with finite spin gap regimes.
- Exact diagonalization confirms the entanglement-spin gap relationship.
- Results relate the lattice behavior to the Heisenberg model limit.

## Abstract

We show that temperature and magnetic field properties of the entanglement between spins on the two-dimensional Shastry-Sutherland lattice can be qualitatively described by analytical results for a qubit tetramer. Exact diagonalization of clusters with up to 20 sites reveals that the regime of fully entangled neighboring pairs coincides with the regime of finite spin gap in the spectrum. Additionally, the results for the regime of vanishing spin gap are discussed and related to the Heisenberg limit of the model.