Yang-Lee zeros of the Q-state Potts model in the complex magnetic-field plane

TL;DR

This study investigates the distribution of Yang-Lee zeros in the complex magnetic-field plane for the Q-state Potts model using a microcanonical transfer matrix, revealing their proximity to the unit circle near criticality.

Contribution

It is the first to analyze Yang-Lee zeros of the Potts model in the complex magnetic field using the microcanonical transfer matrix method.

Findings

Zeros lie close to, but not on, the unit circle near critical temperature.

Zeros are on the unit circle at the critical point and at zero temperature.

Finite size scaling indicates specific zero distributions near phase transitions.

Abstract

The microcanonical transfer matrix is used to study the distribution of Yang-Lee zeros of the $Q$-state Potts model in the complex magnetic-field ($x=e^{\beta h}$) plane for the first time. Finite size scaling suggests that at (and below) the critical temperature the zeros lie close to, but not on, the unit circle with the two exceptions of the critical point $x=1$ ($h=0$) itself and the zeros in the limit T=0.