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

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.

8 pages (plain tex), preprint cologne-93-4714

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