Non-monotonic behavior of the Binder parameter in discrete spin systems
kaityo256 / PottsBinder
Overview
We study a non-monotonic behavior of the Binder parameter, which appears in discrete spin systems. We show that the Binder parameters of the Potts model are non-monotonic for q = 3 and 4, while they are monotonic for the Ising case (q = 2). Using the Fortuin–Kasteleyn graph representation, we find that the improved estimator of the Binder parameter consists of two terms with values only in the high- and low-temperature regions. The non-monotonic behavior is found to originate from the low-temperature term. With the appropriately defined order parameter, we can reduce the influence of the low-temperature term and, as a result, the non-monotonic behavior can also be reduced. We propose new definitions for the order parameter, which reduces or eliminates the non-monotonic behavior of the Binder parameter in a system for which the improved estimator of the Binder parameter is unknown.
- URL
- https://isspns-gitlab.issp.u-tokyo.ac.jp/kaityo256/PottsBinder
- Authors
- Hiroshi Watanabe, Yuichi Motoyama, Satoshi Morita, Naoki Kawashima
- License
- CC-BY 4.0
- Category
- Others
- References
- Progress of Theoretical and Experimental Physics, Volume 2023, Issue 3, March 2023, 033A02
- Contact
- hwatanabe__at__appi.keio.ac.jp,y-motoyama__at__issp.u-tokyo.ac.jp,smorita__at__keio.jp,kawashima__at__issp.u-tokyo.ac.jp (Please replace __at__ with @.)
README
Data of Q-State Ferromagnetic Potts Model on the square lattice
About
Binder parameters of q-State ferromagnetic Potts model on the square lattice with various definition.
License
CC-BY 4.0
We appreciate your citing the reference when you publish the results using our data.
Folder structures
See README.md in each folder for more information on the data.
Contact
- hwatanabe__at__appi.keio.ac.jp (Corresponding Author)
- y-motoyama__at__issp.u-tokyo.ac.jp
- morita__at__issp.u-tokyo.ac.jp
- kawashima__at__issp.u-tokyo.ac.jp
please replace __at__ by @.
Source: https://isspns-gitlab.issp.u-tokyo.ac.jp/kaityo256/PottsBinder README