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Quantum Criticality in the Two-Dimensional Periodic Anderson Model.

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Researchers explored the electronic correlations in the periodic Anderson model, revealing a quantum phase transition between antiferromagnetic and Kondo insulators. They identified critical exponents governing magnetic susceptibility in different temperature regimes.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Electronic correlations are fundamental to understanding material properties.
  • The periodic Anderson model is a key theoretical framework for studying these correlations.

Purpose of the Study:

  • Investigate the phase diagram and quantum critical region of the periodic Anderson model.
  • Characterize the transition between antiferromagnetic and Kondo insulating phases.

Main Methods:

  • Utilized the dynamical vertex approximation, a advanced many-body technique.
  • Analyzed the behavior of antiferromagnetic susceptibility near the quantum critical point.

Main Results:

  • Identified a phase transition from an antiferromagnetic insulator to a Kondo insulator at zero temperature.
  • Determined a critical exponent γ=2 for antiferromagnetic susceptibility in the quantum critical region.
  • Observed distinct susceptibility behaviors (γ=1 for free spins at high T, suppression/increase at low T).

Conclusions:

  • The dynamical vertex approximation provides accurate insights into complex electronic correlation models.
  • The study elucidates the critical behavior of magnetic susceptibility in the vicinity of a quantum phase transition.