English

Fermionic representations of integrable lattice systems

Condensed Matter 2009-10-31 v2 High Energy Physics - Theory Exactly Solvable and Integrable Systems solv-int

Abstract

We develop a general scheme for the use of Fermi operators within the framework of integrable systems. This enables us to read off a fermionic Hamiltonian from a given solution of the Yang-Baxter equation and to express the corresponding LL-matrix and the generators of symmetries in terms of Fermi operators. We illustrate our approach through a number of examples. Our main example is the algebraic Bethe ansatz solution of the Hubbard model in the infinite coupling limit.

Keywords

Cite

@article{arxiv.cond-mat/9805129,
  title  = {Fermionic representations of integrable lattice systems},
  author = {Frank Göhmann and Shuichi Murakami},
  journal= {arXiv preprint arXiv:cond-mat/9805129},
  year   = {2009}
}

Comments

minor changes, typos corrected