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    Universality away from critical points in two-dimensional phase transitions

    Lapilli, Cintia Mariela, 1980-
    Pfeifer, Peter
    Wexler, Carlos, 1966-
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    [PDF] UniversalityAwayCriticalPoints.pdf (374.8Kb)
    Date
    2006
    Format
    Article
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    Abstract
    The p-state clock model in two dimensions is a system of discrete rotors with a quasi-liquid phase in a region T1 < T < T2 for p > 4. We show that, for p > 4 and above a temperature Teu, all macroscopic thermal averages, such as energy or magnetization, become identical to those of the continuous rotor (p = \infty). This collapse of thermodynamic observables creates a regime of extended universality in the phase diagram and an emergent symmetry, not present in the Hamiltonian. For p \ge 8, the collapse starts in the quasi-liquid phase and makes the transition at T2 identical to the Berezinskii-Kosterlitz-Thouless (BKT) transition of the con-tinuous rotor. For p \le 6, the transition at T2 is below Teu and no longer BKT. The results generate a comprehensive map of the critical properties at T1 and T2, and a range of experimental predictions, such as motion of magnetic domain walls, fabrication of identical devices from different building blocks, and limits on macro-scopic distinguishability of different microscopic interactions.
    URI
    http://hdl.handle.net/10355/7236
    Citation
    arXiv:cond-mat/0511559v2
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