Ladder operator for the one-dimensional Hubbard model
Strongly Correlated Electrons
2009-10-31 v2
Abstract
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.
Cite
@article{arxiv.cond-mat/0011368,
title = {Ladder operator for the one-dimensional Hubbard model},
author = {Jon Links and Huan-Qiang Zhou and Ross H. McKenzie and Mark D. Gould},
journal= {arXiv preprint arXiv:cond-mat/0011368},
year = {2009}
}
Comments
4 pages, no figures, revtex; final version to appear in Phys. Rev. Lett