Thermodynamics of the 3-State Potts Spin Chain

TL;DR

This paper explores the thermodynamic properties of the 3-state Potts spin chain, linking conformal field theory anomalies with entropy and calculating key thermodynamic quantities like free energy and specific heat.

Contribution

It provides new insights into the relation between conformal field theory anomalies and thermodynamics in the 3-state Potts model, including explicit calculations of free energy and specific heat.

Findings

Calculated the free energy for ferromagnetic and anti-ferromagnetic chains

Determined the low-temperature specific heat behavior

Identified the central charges for both chain types

Abstract

We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compute the free energy and compute the low temperature specific heat for both the ferromagnetic and anti-ferromagnetic spin chains, and find the central charges for both.