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Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class

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arxiv 0710.1507 v1 pith:HGSVSFYI submitted 2007-10-08 hep-lat cond-mat.stat-mech

V. Azcoiti , G. Di Carlo , A. Galante This is my paper · ORCID
classification hep-latcond-mat.stat-mech
keywords criticalthetabehaviorclassconjecturecouplinghaldaneuniversality
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Using an approach to analyze the theta dependence of systems with a theta-term we recently proposed, the critical behavior of CP^1 at theta=pi is studied. We find a region outside the strong coupling regime where Haldane's conjecture is verified. The critical line however does not belong to the universality class of the Wess-Zumino-Novikov-Witten model at topological coupling k=1 since it shows continuously varying critical exponents.

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Cited by 1 Pith paper

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  1. Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Numerical tensor-network results locate a critical point at theta=pi in the 2D CP(1) model, consistent with Haldane's conjecture.

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