Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions

Abstract

A general understanding of quantum phase transitions in strongly correlated materials is still lacking. By exploiting a cutting-edge quantum many-body approach, the dynamical vertex approximation, we make an important progress, determining the quantum critical properties of the antiferromagnetic transition in the fundamental model for correlated electrons, the Hubbard model in three dimensions. In particular, we demonstrate that -in contradiction to the conventional Hertz-Millis-Moriya theory- its quantum critical behavior is driven by the Kohn anomalies of the Fermi surface, even when electronic correlations become strong.

6 pages, 4 figures (8 pages Supplemental Material)

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Cited by in corpus (44)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
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• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Truncated Unity Parquet Solver
• Merging GW with DMFT and non-local correlations beyond
• Generic optical excitations of correlated systems: $\pi$-tons
• Why the critical temperature of high-$T_{\mathrm{c}}$ cuprate superconductors is so low: The importance of the dynamical vertex structure
• Phase diagram of nickelate superconductors calculated by dynamical vertex approximation
• Magnetic correlations in infinite-layer nickelates: an experimental and theoretical multi-method study
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• Boson-Exchange Parquet Solver for dual fermions
• Parquet-like equations for the Hedin three-leg vertex
• Self-consistent ladder D$\Gamma$A approach
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Role of three-particle vertex within dual fermion calculations
• Quantum criticality in the two-dimensional periodic Anderson model
• 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
• Towards ab initio calculations with the dynamical vertex approximation
• The AbinitioD$\Gamma$A Project v1.0: Non-local correlations beyond and susceptibilities within dynamical mean-field theory
• Strongly correlated superconductivity with long-range spatial fluctuations
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Dynamically enhanced magnetic incommensurability: Effects of local dynamics on non-local spin-correlations in a strongly correlated metal
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with one pair of hot spots in two-dimensional metals
• Anisotropy of electronic correlations: On the applicability of local theories to layered materials
• Itinerant magnetism of chromium under pressure: a DFT+DMFT study
• Magnetic phase diagram of the three-dimensional doped Hubbard model
• Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model
• Consistency of potential energy in the dynamical vertex approximation
• High-order Van Hove singularities in cuprates and related high-Tc superconductors
• Stable non-Fermi liquid fixed point at the onset of incommensurate $2k_F$ charge density wave order
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
• Kohn anomalies in momentum dependence of magnetic susceptibility of some three-dimensional systems
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Non-Perturbative Feats in the Physics of Correlated Antiferromagnets
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Marginal Fermi liquid behavior at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order in two-dimensional metals with flat hot spots
• Evaluating second-order phase transitions with Diagrammatic Monte Carlo: Néel Transition in the doped three-dimensional Hubbard model
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Variational Diagrammatic Monte-Carlo Built on Dynamical Mean-Field Theory