In the 2D attractive Hubbard model, the polaron-to-dimeron transition present at low spin-up filling disappears above a filling of about 20%, leaving the polaron as the stable ground state at all couplings.
Demler, Universal many-body response of heavy impurities coupled to a Fermi sea: a review of recent progress, Reports on Progress in Physics81, 024401 (2018)
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On polarons and dimerons in the two-dimensional attractive Hubbard model
In the 2D attractive Hubbard model, the polaron-to-dimeron transition present at low spin-up filling disappears above a filling of about 20%, leaving the polaron as the stable ground state at all couplings.