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arXiv · 2403.04522

Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction

Naoto Shiraishi
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Abstract

We rigorously prove that the Heisenberg chain with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense that this system has no nontrivial local conserved quantity. Our result covers two important models, the Majundhar-Ghosh model and the Shastry-Sutherland model, as special cases. These models are shown to be non-integrable while have some solvable energy eigenstates.

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Naoto Shiraishi. 2024-03-07. Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction. https://doi.org/10.1007/s10955-024-03326-4

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