Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q -state Potts model in 2 + 1 d . Conditions and any applicable Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q-state Potts model in 2+1d. The correlation length exponent is found to be ν=1, saturating a modified version of the Harris-Luck criterion. In the absence of disorder, the mapping to the classi- The APS Physics logo and Physics logo are trademarks of the American Physical Society. More info Subscription In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. The strength of the Potts model is not so much that it models these physical systems well; it is rather that the one-dimensional case is exactly solvable, and that it has a rich mathematical formulation that has been studied extensively. The q = 3 standard Potts model is equivalent to the three-state vector Potts model, with Jp = −(3/2)Jc. Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. (3) [(4)] at zero temperature may be regarded as the transfer matrix in the t-continuum limit of a (d 1 1)-dimensional q-state classical Potts (clock) model [9] with disorder constant along one direction. Use of the American Physical Society websites and journals implies that By studying the Potts model, one may gain insight into the behaviour of ferromagnets and certain other phenomena of solid-state physics. as in the Ising case, the d-dimensional q-state quantum Potts (clock) model Eq. Information about registration may be found here. In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of ... manner, the model is related to the flux tube model, which is used to discuss confinement in quantum chromodynamics. Sign up to receive regular email alerts from Physical Review Letters. ©2020 American Physical Society. All rights reserved. Using a controlled real-space renormalization group approach, we find that the critical behavior is largely independent of q, and is controlled by an infinite-quasiperiodicity fixed point. Physical Review Physics Education Research. Physical Review Letters™ is a trademark of the American Physical Society, registered in the United States, Canada, European Union, and Japan. Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. The quantum (non-Abelian) Potts model and its exact solution Razieh Mohseninia, Vahid Karimipour (Submitted on 8 Nov 2015 (v1), last revised 24 Dec 2015 (this version, v3)) We generalize the classical one dimensional Potts model to the case where the symmetry group is … the user has read and agrees to our Terms and Potts model. ISSN 1079-7114 (online), 0031-9007 (print). Agreement.

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