Critical behavior of magnetic polymers on the three-dimensional Sierpiński Gasket

Abstract

We present the (numerically) exact phase diagram of a magnetic polymer on the Sierpińsky gasket embedded in three dimensions using the renormalization group method. We report distinct phases of the magnetic polymer, including paramagnetic swollen, ferromagnetic swollen, paramagnetic collapsed, and ferromagnetic collapsed states. By evaluating critical exponents associated with phase transitions, we located the phase boundaries between different phases. If the model is extended to include a four-site interaction which disfavors configurations with a single spin of a given type, we find a rich variety of critical behaviors. Notably, we uncovered a phenomenon of reentrance, where the system transitions from a collapsed (paramagnetic) state to a swollen (paramagnetic) state followed by another collapse (paramagnetic) and ultimately reaching a ferromagnetic collapsed state. These findings shed new light on the complex behavior of (lattice) magnetic polymers.

Publication DOI: https://doi.org/10.1103/PhysRevE.108.L042502
Divisions: College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies > Applied AI & Robotics
College of Engineering & Physical Sciences > School of Computer Science and Digital Technologies
Additional Information: ©2023 American Physical Society. Critical behavior of magnetic polymers on the three-dimensional Sierpiński Gasket. Sumitra Rudra, Damien Paul Foster, and Sanjay Kumar Phys. Rev. E 108, L042502 – Published 4 October 2023
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
Publication ISSN: 1550-2376
Last Modified: 07 Oct 2024 07:54
Date Deposited: 01 Dec 2023 13:30
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... evE.108.L042502 (Publisher URL)
PURE Output Type: Article
Published Date: 2023-10-04
Accepted Date: 2023-09-01
Authors: Rudra, Sumitra
Foster, Damien Paul (ORCID Profile 0000-0001-8493-975X)
Kumar, Sanjay

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