Towards the solution of an integrable D2(2) spin chain. (3rd October 2019)

• Record Type: Journal Article
• Authors: Nepomechie, Rafael I; Pimenta, Rodrigo A; Retore, Ana L
• Is Part Of: Journal of physics. Volume 52:Number 43(2019)
• Publication Date: 2019-10-03
• Subjects: integrable quantum spin chains -- Bethe ansatz -- quantum group; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab434d
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Two branches of integrable open quantum-group invariant quantum spin chains are known. For one branch ( ), a complete Bethe ansatz solution has been proposed. However, the other branch ( ) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.