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Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model

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arxiv 2309.09354 v3 pith:UGFICOAL submitted 2023-09-17 cond-mat.stat-mech math-phmath.MPnlin.SI

Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model

classification cond-mat.stat-mech math-phmath.MPnlin.SI
keywords conservedlocalquantitieshubbardmodelone-dimensionalcompletenessconclude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We rigorously prove that the local conserved quantities in the one-dimensional Hubbard model are uniquely determined for each locality up to the freedom to add lower-order ones. From this, we can conclude that the local conserved quantities are exhausted by those obtained from the expansion of the transfer matrix.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities

    cond-mat.stat-mech 2024-12 unverdicted novelty 6.0

    The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.

  2. Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice

    cond-mat.stat-mech 2025-02 unverdicted novelty 5.0

    The quantum compass model on the square lattice possesses no nontrivial local conserved quantities besides the Hamiltonian.