Exact Integrability of the One-Dimensional Hubbard Model
- 9 June 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 56 (23), 2453-2455
- https://doi.org/10.1103/physrevlett.56.2453
Abstract
The 1D Hubbard model is shown to be an exactly integrable system. A "covering" model of 2D statistical mechanics which I proposed recently was shown to provide a one-parameter family of transfer matrices, commuting with the Hamiltonian of the Hubbard model. I show in this work that any two transfer matrices of a family commute mutually. At the root of the commutation relation is the ubiquitous Yang-Baxter factorization condition. The form of the operator is displayed explicitly.
Keywords
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