Only two models in the class of S=1/2 zigzag spin chains are integrable (one classical, one Bethe-ansatz solvable); all others are non-integrable, with no missing integrable models and no intermediate cases having finitely many local conserved quantities.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.stat-mech 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Complete classification of integrability and non-integrability of S=1/2 spin chains with symmetric next-nearest-neighbor interaction
Only two models in the class of S=1/2 zigzag spin chains are integrable (one classical, one Bethe-ansatz solvable); all others are non-integrable, with no missing integrable models and no intermediate cases having finitely many local conserved quantities.