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Quasi-particles in the chiral Potts model

Kedem, R, Barry, M L

Open publisher page 8 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Chiral Potts curve, Potts model, Transfer matrix, Eigenvalues and eigenvectors, Chain (unit), Mathematical physics, Integrable system, Physics

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