A range three elliptic deformation of the Hubbard model

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In this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium range deformation of the Hubbard model that is integrable. Our model can be mapped to a new integrable nearest-neighbour model via a duality transformation. The resulting nearest-neighbour model also breaks spin conservation. We compute the RR-matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude.