Ladder operator for the one-dimensional Hubbard model

Details Ladder operator for the one-dimensional Hubbard model Ladder operator for the one-dimensional Hubbard model

2000-11-22

arxiv.org/abs/cond-mat/0011368v2

Phys. Rev. Lett. 86 (2001) 5096-5099

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures, revtex; final version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.5096

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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