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Fermionic representations of integrable lattice systems

Frank Göhmann·Shuichi Murakami
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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.

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Frank Göhmann, Shuichi Murakami. 1998-09-28. Fermionic representations of integrable lattice systems. https://doi.org/10.1088/0305-4470%2F31%2F38%2F009

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