arXiv:cond-mat/9805129 · Journal of Physics A Mathematical and General
Fermionic representations of integrable lattice systems
Frank Göhmann, Shuichi Murakami
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 L -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.