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Quantum Criticality in the Two-Dimensional Periodic Anderson Model
T Schäfer1,2,3, A A Katanin4, M Kitatani1
1Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria.
Physical Review Letters
|July 9, 2019
Summary
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.
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.
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