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• W2509152303 abstract "Scaling, universality, and renormalization are three pillars of modern critical phenomena. According to the hypothesis of universality, continuous phase transitions fall into classes mainly determined by spatial dimensionality and symmetry of the order parameter. The latter is usually reflected by the degeneracy of the ground state of the Hamiltonian. However, for certain systems at criticality, a higher symmetry emerges in the order parameter, and the associated critical behavior may become very rich. Such emergent symmetry has been found in spin ice systems, deconfined quantum critical points, high-${T}_{c}$ superconductors, and so forth, and are often accompanied by very interesting critical phenomena. New results presented here are based on Monte Carlo simulations and finite-size scaling of a series of $q$-state Potts models on the simple cubic lattice with ferromagnetic interactions in one lattice direction and antiferromagnetic interactions in the other two directions. The staggered magnetization appears to display an emergent continuous O($n$) symmetry with $n$=$q$-1, as illustrated by two-dimensional intersections of the distribution functions. Also the estimated critical exponents are consistent with the O($n$=$q$-1) universality classes." @default.
• W2509152303 created "2016-09-16" @default.
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• W2509152303 date "2016-09-01" @default.
• W2509152303 modified "2023-10-17" @default.
• W2509152303 title "Emergent O(<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>n</mml:mi></mml:math>) symmetry in a series of three-dimensional Potts models" @default.
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• W2509152303 doi "https://doi.org/10.1103/physrevb.94.104402" @default.
• W2509152303 hasPublicationYear "2016" @default.
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