Stability of the polymerΘpoint in two dimensions

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Abstract
We reconsider the debated question of the collapse transition of two-dimensional polymers. The solvable model of self-avoiding walks in presence of percolating vacancies (i.e., at the so-called Θ’ point) is shown to be stable against the introduction of further interactions, anisotropy, and change of lattice. This confirms the conjecture of the identity of the Θ’ point with the genuine tricritical Θ point and rules out a higher multicriticality.