Nonlocal behaviors of spin correlations in the Haldane-Shastry model

TL;DR

This paper explores the nonlocal properties of spin correlations in the Haldane-Shastry model, revealing how ring frustration affects these correlations and comparing them to the Heisenberg model.

Contribution

It introduces the concept of nonlocal factors in spin correlations and analytically investigates their behavior in the Haldane-Shastry model with and without ring frustration.

Findings

Nonlocal factors can be analytically deduced for the Haldane-Shastry model.

Ring frustration causes the nonlocal factor to match that of the Heisenberg model.

The ground state and spin correlations are characterized for both even and odd spins.

Abstract

The nonlocal factors of spin correlations are introduced for lattice spin models. Based on this concept, we investigate the nonlocal behavior of the Haldane-Shastry model with or without ring frustration. The ground state and spin correlations of the Haldane-Shastry model are calculated for both even and odd number of spins, then the nonlocal factors can be deduced analytically. It is found that the nonlocal factor due the ring frustration is the same as the Heisenberg model.