Critical behavior of magnetic polymers in two and three dimensions

Damien Paul Foster, Debjyoti Majumdar

Research output: Contribution to journalArticlepeer-review


We explore the critical behavior of two- and three-dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbor monomers. Specifically, the model explored consists of a self-avoiding walk on a square or cubic lattice with Ising spins on the visited sites. In three dimensions we confirm and extend previous numerical work, showing clearly the first-order character of both the magnetic transition and the polymer collapse, which happen together. We present results in two dimensions, where the transition is seen to be continuous. Finite-size scaling is used to extract estimates for the critical exponents and the transition temperature in the absence of an external magnetic field.
Original languageEnglish
Article number024122
Number of pages11
JournalPhysical Review E
Issue number2
Publication statusPublished - 16 Aug 2021

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(c) 2021, American Physical Society.


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