Quantum criticality in the 2d quasiperiodic Potts model

Abstract

Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic $q$-state Potts model in $2+1d$. 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. The correlation length exponent is found to be $\nu =1$, saturating a modified version of the Harris-Luck criterion.

arXiv comment6 pages, 3 figures, 4 pages of supplemental material

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Cited by in corpus (6)

• A note on the quasiperiodic many-body localization transition in dimension $d>1$
• Quasicrystalline Bose glass in the absence of disorder and quasidisorder
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• Numerical evidence of a super-universality of the 2D and 3D random quantum Potts models