Microcanonical Transfer Matrix Study of the Q-state Potts Model
Richard J. Creswick, Seung-Yeon Kim (Department of Physics,, University of South Carolina, Columbia, South Carolina, USA)
TL;DR
This paper employs the microcanonical transfer matrix method to analyze the zeros of the partition function in the Q-state Potts model, providing insights into phase transitions and calculating ground-state entropy with high precision.
Contribution
It introduces a microcanonical transfer matrix approach to study partition function zeros and computes the ground-state entropy of the 3-state Potts model with high accuracy.
Findings
Yang-Lee zeros of the 3-state model analyzed
Fisher zeros in an external field studied
Ground-state entropy of the 3-state model calculated as 0.43153
Abstract
The microcanonical transfer matrix is used to study the zeros of the partition function of the Q-state Potts model. Results are presented for the Yang-Lee zeros of the 3-state model, the Fisher zeros of the 3-state model in an external field , and the spontaneous magnetization of the 2-state model. In addition, we are able to calculate the ground-state entropy of the 3-state model and find in excellent agreement with the exact value, 0.43152...
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