Quantum criticality in the two-dimensional periodic Anderson model

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 $\gamma =2$ for the antiferromagnetic susceptibility. At higher temperatures, we have free spins with $\gamma =1$ instead, whereas at lower temperatures, there is an even stronger increase and suppression of the susceptibility below and above the quantum critical point, respectively.

arXiv comment6 pages, 4 figures (+ 6 pages Supplemental Material)

References in corpus (46)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Quantum criticality
• Quantum magnetism and criticality
• Hall-effect evolution across a heavy-fermion quantum critical point
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Metallic Quantum Ferromagnets
• Local Electronic Correlation at the Two-Particle Level
• Fate of the false Mott-Hubbard transition in two dimensions
• Mott physics and spin fluctuations: a unified framework
• Comparing pertinent effects of antiferromagnetic fluctuations in the two and three dimensional Hubbard model
• From infinite to two dimensions through the functional renormalization group
• The low-energy scale of the periodic Anderson model
• Quantum Critical Transport Near the Mott Transition
• Divergent Precursors of the Mott-Hubbard Transition at the Two-Particle Level
• Criticality in correlated quantum matter
• On the self-consistent spin-wave theory of layered Heisenberg magnets
• Critical properties of the half-filled Hubbard model in three dimensions
• Theory of finite temperature crossovers near quantum critical points close to, or above, their upper-critical dimension
• One-particle irreducible functional approach - a new route to diagrammatic extensions of DMFT
• Competition Between Antiferromagnetic Order and Spin-Liquid Behavior in the Two-Dimensional Periodic Anderson Model at Half-Filling
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson Impurity Model
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Mechanisms of finite temperature magnetism in the three-dimensional Hubbard model
• Why the critical temperature of high-$T_{\mathrm{c}}$ cuprate superconductors is so low: The importance of the dynamical vertex structure
• Evolution of a Large Fermi Surface in the Kondo Lattice
• Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions
• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Strong coupling theory of heavy fermion criticality
• Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multi-Scale Methods
• Continuous-time quantum Monte Carlo calculation of multi-orbital vertex asymptotics
• Dynamical vertex approximation for the attractive Hubbard model
• Critical behavior and the Neel temperature of quantum quasi-two-dimensional Heisenberg antiferromagnets
• Hidden physics in the dual-fermion approach - a special case of a non-local expansion scheme
• Effects of an Additional Conduction Band on Singlet-Antiferromagnet Competition in the Periodic Anderson Model
• On non-Fermi liquid quantum critical points in heavy fermion metals
• Mott Quantum Criticality in the Anisotropic 2D Hubbard Model
• Quantum critical transport at a continuous metal-insulator transition
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Phase boundary and finite temperature crossovers of the quantum Ising model in two dimensions
• Energy Scales of the Doped Anderson Lattice Model

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• Phase diagram of nickelate superconductors calculated by dynamical vertex approximation
• Magnetic correlations in infinite-layer nickelates: an experimental and theoretical multi-method study
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Self-consistent ladder D$\Gamma$A approach
• Dual nature of 5$f$ electrons in the isostructural UM${}_2$Si${}_2$ family: from antiferro- to Pauli paramagnetism via hidden order
• The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry
• Magnetic properties and pseudogap formation in infinite-layer nickelates: insights from the single-band Hubbard model
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Learning quantum phase transitions through Topological Data Analysis
• Strongly correlated superconductivity with long-range spatial fluctuations
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• Anisotropy of electronic correlations: On the applicability of local theories to layered materials
• Coherence Temperature in the Diluted Periodic Anderson Model
• Consistency of potential energy in the dynamical vertex approximation
• Enhanced antiferromagnetic ordering tendency in staggered periodic Anderson model
• Magnetism trends in doped Ce-Cu intermetallics in the vicinity of quantum criticality: realistic Kondo lattice models based on dynamical mean-field theory
• Ground state properties of the periodic Anderson model with electron-phonon interactions
• Enhanced tendency of $d$-wave pairing and antiferromagnetism in doped staggered periodic Anderson model
• Magnetic phases of the periodic Anderson model in two dimensions
• A unified theoretical framework for Kondo superconductors: Periodic Anderson impurities with attractive pairing and Rashba spin-orbit coupling