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Physics beyond quasi-particles: Spectrum and completeness of the 3 state superintegrable chiral Potts model

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arxiv hep-th/9204003 v1 pith:HAXIBDRE submitted 1992-04-02 hep-th

classification hep-th
keywords excitationsrulesspectrumchiralcomparedcompletedemonstratemodel
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abstract

We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive phase and demonstrate the existence of excitations which do not have a quasi-particle form. The physics of these excitations is compared with the BCS superconductivity spectrum and the counting rules are compared with the closely related $S=1$ XXZ spin chain.

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  1. Matrix-product state skeletons in Onsager-integrable quantum chains

    quant-ph 2025-11 accept novelty 7.0 of 10

    Interacting N-state chiral clock chains have exact matrix-product-state eigenstates (the true ground states in gapped regions) whenever the Hamiltonian's Laurent polynomial is a perfect square, and these states form a...

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