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A range three elliptic deformation of the Hubbard model

Marius de Leeuw, Chiara Paletta, Balázs Pozsgay

SciPost Phys. 15, 071 (2023) · published 28 August 2023


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 $R$-matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude.

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Bethe Ansatz Hubbard model Integrability/integrable models

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