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Ladder operator for the one-dimensional Hubbard model

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arxiv cond-mat/0011368 v2 pith:D422AKJB submitted 2000-11-22 cond-mat.str-el

Jon Links , Huan-Qiang Zhou , Ross H. McKenzie , Mark D. Gould This is my paper · ORCID
classification cond-mat.str-el
keywords modelhubbardladderoperatorconservedinvariantlorentzone-dimensional
verification ladder T0 review T1 audit T2 compute T3 formal
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The one-dimensional Hubbard model is integrable in the sense that it has an infinite family of conserved currents. We explicitly construct a ladder operator which can be used to iteratively generate all of the conserved current operators. This construction is different from that used for Lorentz invariant systems such as the Heisenberg model. The Hubbard model is not Lorentz invariant, due to the separation of spin and charge excitations. The ladder operator is obtained by a very general formalism which is applicable to any model that can be derived from a solution of the Yang-Baxter equation.

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  1. Rigorous Test for Quantum Integrability and Nonintegrability

    cond-mat.stat-mech 2025-01 conditional novelty 8.0 of 10

    A quantum spin chain with finite-range interactions is nonintegrable if no 3-local operator almost commutes with the Hamiltonian, a condition that can be checked by a system-size-independent algorithm.

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