Integrable Deformations of the XXZ Spin Chain
Niklas Beisert, Lucas Fievet, Marius de Leeuw, Florian Loebbert
TL;DR
This paper classifies all integrable long-range deformations of the XXZ spin chain, analyzing their effects on the spectrum and introducing new twists enabled by the z-spin degree of freedom.
Contribution
It provides a comprehensive classification of integrable deformations of the XXZ spin chain, including novel twists not present in the XXX case.
Findings
Identified all long-range integrable deformations of the XXZ chain.
Discovered two new twists: a short-range magnetic twist and a long-range momentum-dependent twist.
Analyzed the impact of these deformations on the spectral properties.
Abstract
We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the z-spin at our disposal, which induces two additional deformations: the short-range magnetic twist and a new long-range momentum-dependent twist.
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