A range three elliptic deformation of the Hubbard model
arXiv:2301.01612 · doi:10.21468/SciPostPhys.15.2.071
Abstract
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 -matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude.
20 pages, v2: minor changes
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