Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model

Abstract

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp }$ hopping amplitudes at half-filling. A fixed value of the next-nearest-neighbor hopping $t^{\prime }=-t_{\perp }/2$ removes the nesting property of the Fermi surface and stabilizes a paramagnetic metal phase in the weak-coupling regime. In the isotropic and moderately anisotropic regions, a growing spin entropy in the metal phase is quenched out at a critical interaction strength by the onset of long-range antiferromagnetic (AF) order of preformed local moments. It gives rise to a first-order metal-insulator transition consistent with the Mott-Heisenberg picture. In contrast, a strongly anisotropic regime $t_{\perp }/t\lesssim 0.3$ displays a quantum critical behavior related to the continuous transition between an AF metal phase and the AF insulator. Hence, within the present framework of CDMFT, the opening of the charge gap is magnetically driven as advocated in the Slater picture. We also discuss how the lattice-anisotropy-induced evolution of the electronic structure on a metallic side of the phase diagram is tied to the emergence of quantum criticality.

14 pages + 2 new appendices, 17 figures

References in corpus (36)

• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Fate of the false Mott-Hubbard transition in two dimensions
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Pseudogap and Mott Transition Studied by Cellular Dynamical Mean Field Theory
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Identifying the maximum entropy method as a special limit of stochastic analytic continuation
• Cellular Dynamical Mean Field Theory for the 1D Extended Hubbard Model
• Quantum critical properties of a metallic spin density wave transition
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Momentum-dependent pseudogaps in the half-filled two-dimensional Hubbard model
• Lifshitz Transition in the Two Dimensional Hubbard Model
• Universality of liquid-gas Mott transitions at finite temperatures
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: Slater vs Mott-Heisenberg
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model
• Coexistence and interaction of spinons and magnons in an antiferromagnet with alternating antiferromagnetic and ferromagnetic quantum spin chains
• Tricritical Behavior in Charge-Order System
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Variational Monte Carlo Study of Electron Differentiation around Mott Transition
• Half-filled Hubbard Model on a Bethe lattice with next-nearest neighbor hopping
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model
• Properties of the one-dimensional Hubbard model: cellular dynamical mean-field description
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains

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• Quantum criticality of bandwidth-controlled Mott transition