Quantum Criticality in the 2D Quasiperiodic Potts Model.

Phys Rev Lett

Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA.

Published: December 2020

AI Article Synopsis

  • - The study focuses on quantum critical points in quasiperiodic magnets, revealing that these points create unique behaviors that differ from traditional clean or disordered systems.
  • - Researchers examine quantum phase transitions between ferromagnetic and paramagnetic states in a specific model (the q-state Potts model) using a 2+1 dimensional framework.
  • - They utilize a real-space renormalization group technique and discover that the critical properties are mostly unaffected by the specific value of q, with the correlation length exponent being ν=1, aligning with a refined criterion for criticality.

Article 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 ν=1, saturating a modified version of the Harris-Luck criterion.

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Source
http://dx.doi.org/10.1103/PhysRevLett.125.265702DOI Listing

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