2000 character limit reached
Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction (2403.04522v2)
Published 7 Mar 2024 in cond-mat.stat-mech, cond-mat.str-el, math-ph, and math.MP
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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