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Regular version of the site

Working paper

Critical and geometric properties of magnetic polymers across the globule-coil transition

arxiv.org. cond-mat. Cornell University, 2021. No. arXiv:2107.11830.
Kamilla Faizullina, Pchelintsev I., Evgeni Burovski.
We study a lattice model of a magnetic elastomer, where Ising spins are located on the sites of a lattice self-avoiding walk in d=2. We consider the regime where both conformations and magnetic degrees of freedom are dynamic, thus the Ising model is defined on a dynamic lattice and conformations generate an annealed disorder. We perform Monte Carlo simulations across the theta-point and find the joint ferromagnet-to-paramagnet and globule-coil transition, which is continuous -- in contrast to d=3 where it is first-order. At the transition, the metric exponent takes the theta-polymer value, but the crossover exponent is different.