Quantum Criticality in the Two-Dimensional Periodic Anderson Model

2018/12/31 by T. Schäfer, Thomas Schäfer, A. A. Katanin +5
Physics and Astronomy · #Advanced Condensed Matter Physics #Anderson impurity model #Antiferromagnetism #Condensed matter physics #Critical exponent #Critical point (mathematics) #Criticality #Electron #Exponent #Kondo effect #Kondo insulator #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum fluctuation #Quantum mechanics #Quantum phase transition #Spins #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.122.227201

published as Phys. Rev. Lett. 122, 227201 (2019) · 6 pages, 4 figures (+ 6 pages Supplemental Material)

arxiv created 2019/06/06 · openalex publication_date 2019/06/06 · arxiv updated 2019/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition between a zero-temperature antiferromagnetic insulator and a Kondo insulator. In the quantum critical region, we determine a critical exponent γ=2 for the antiferromagnetic susceptibility. At higher temperatures, we have free spins with γ=1 instead, whereas at lower temperatures, there is an even stronger increase and suppression of the susceptibility below and above the quantum critical point, respectively.

Citations

• Metallic Quantum Ferromagnets
• The break-up of heavy electrons at a quantum critical point
• The theory of equilibrium critical phenomena
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum critical phenomena
• Evolution of a Large Fermi Surface in the Kondo Lattice
• Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet