Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets

TL;DR

This paper presents an exact matrix product state solution for a broad class of one-dimensional spin-1 antiferromagnetic models, enabling precise calculation of groundstate properties and supporting the Haldane scenario.

Contribution

It introduces an exact matrix product groundstate for spin-1 antiferromagnetic chains, expanding understanding of their quantum properties.

Findings

Exact groundstate expressed as a matrix product

Groundstate properties can be precisely calculated

Supports the Haldane scenario in spin-1 chains

Abstract

We have found the exact groundstate for a large class of antiferromagnetic spin-1 models with nearest-neighbour interactions on a linear chain. All groundstate properties can be calculated. The groundstate is determined as a matrix product of individual site states and has the properties of the Haldane scenario.