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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Statistical Mechanics

Background:

  • Quantum critical points (QCPs) in quasiperiodic systems offer novel universality classes.
  • Properties of QCPs in quasiperiodic magnets differ from clean or disordered systems.

Purpose of the Study:

  • Investigate quantum phase transitions between ferromagnetic and paramagnetic phases.
  • Analyze the quasiperiodic q-state Potts model in 2+1 dimensions.

Main Methods:

  • Employed a controlled real-space renormalization group approach.
  • Studied critical phenomena in quasiperiodic magnetic systems.

Main Results:

  • Critical behavior is predominantly independent of the parameter q.
  • The system is governed by an infinite-quasiperiodicity fixed point.
  • The correlation length exponent was determined to be ν=1.

Conclusions:

  • The findings align with a modified Harris-Luck criterion.
  • Quasiperiodic magnets host distinct quantum critical phenomena.