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A range three elliptic deformation of the Hubbard model

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arxiv 2301.01612 v2 pith:JO2OZ5IQ submitted 2023-01-04 cond-mat.stat-mech hep-thnlin.SI

Marius de Leeuw , Chiara Paletta , Balázs Pozsgay This is my paper · ORCID
classification cond-mat.stat-mechhep-thnlin.SI
keywords modeldeformationhubbardintegrablerangeellipticnearest-neighbourspin
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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 $R$-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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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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