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The XXZ spin chain at $Δ=- 1/2: Bethe roots, symmetric functions and determinants

de Gier, Jan; Batchelor, Murray; Nienhuis, Bernard; Mitra, Saibal

Description

A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at Δ=−1/2 and various symmetry classes of alternating sign matrices. Here we use the integrability of the XXZ chain to gain further insight into these developments. In doing so we obtain a number of new results using Baxter’s Q function for the XXZ chain for periodic, twisted and open boundary conditions. These include expressions for the elementary symmetric functions...[Show more]

CollectionsANU Research Publications
Date published: 2002-08
Type: Journal article
URI: http://hdl.handle.net/1885/16001
Source: Journal of Mathematical Physics
DOI: 10.1063/1.1487445

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