A brief note on the G2 Affleck-Kennedy-Lieb-Tasaki chain

Hosho Katsura; Dirk Schuricht

doi:10.21468/SciPostPhysCore.8.3.052

A brief note on the G₂ Affleck-Kennedy-Lieb-Tasaki chain

Hosho Katsura^*
, Dirk Schuricht^*

^*Corresponding author for this work

The University of Tokyo

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G₂. The two-point correlation function in the VBS state is non-vanishing only for nearest neighbours, but possesses finite string order. We construct a parent Hamiltonian for the VBS state, which constitutes the G₂ analog of the famous AKLT chain.

Original language	English
Article number	052
Number of pages	15
Journal	SciPost Physics Core
Volume	8
Issue number	3
DOIs	https://doi.org/10.21468/SciPostPhysCore.8.3.052
Publication status	Published - 1 Jul 2025

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Publisher Copyright:
Copyright H. Katsura and D. Schuricht. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. https://creativecommons.org/licenses/by/4.0/

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A brief note on the G₂ Affleck-Kennedy-Lieb-Tasaki chain

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