Exact Groundstates for Antiferromagnetic Spin-One Chains with Nearest and Next-Nearest Neighbour Interactions

TL;DR

This paper presents the exact ground state solution for a class of antiferromagnetic spin-one chains with both nearest and next-nearest neighbor interactions, characterized as a matrix product state with Haldane-like properties.

Contribution

It provides an exact analytical ground state for complex spin chains, extending understanding of Haldane phase characteristics in such systems.

Findings

Exact ground state characterized as a matrix product state

Ground state exhibits properties of the Haldane scenario

Applicable to chains with both nearest and next-nearest neighbor interactions

Abstract

We have found the exact ground state for a large class of antiferromagnetic spin-one chains with nearest and next-nearest neighbour interactions. The ground state is characterized as a matrix product of local site states and has the properties characteristic of the Haldane scenario.