Quasi-particles in the chiral Potts model

TL;DR

This paper investigates the quasi-particle spectrum of the integrable three-state chiral Potts model in its massive phase, combining numerical and exact methods to understand the spectrum's structure.

Contribution

It introduces a detailed analysis of the quasi-particle spectrum in the chiral Potts model, revealing momentum restrictions related to chiral angles.

Findings

Spectrum described by quasi-particles with momentum segments

Boundaries of momentum segments depend on chiral angles

Numerical and exact methods complement each other

Abstract

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeroes of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta restricted only to segments of the Brillouin zone $0\leq P \leq 2\pi$ where the boundaries of the segments depend on the chiral angles of the model.