XY model on a self-avoiding walk

Kamilla Faizullina; Evgeni Burovski

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arXiv · 2405.07015

XY model on a self-avoiding walk

Kamilla Faizullina·Evgeni Burovski

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Abstract

We study a lattice model of a magnetic polymer where the XY spin variables are located on a self-avoiding walk (SAW) on a regular lattice in two and three dimensions. We consider the regime where both spins and conformations are dynamic, thus the XY model is defined on a dynamic lattice and conformations generate an annealed disorder. Using Monte Carlo simulations, we characterize the globule-coil and ferromagnetic phase transitions, and pay special attention to the vicinity of the theta-point. Our numerical results suggest that the transitions are continuous in two dimensions and first-order in three dimensions, which is similar to related models with Ising spins.

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Kamilla Faizullina, Evgeni Burovski. 2024-05-11. XY model on a self-avoiding walk. https://arxiv.org/abs/2405.07015

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