Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: Slater vs Mott-Heisenberg

Abstract

We study antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model at low temperature. Collective spin fluctuations are governed by a non-linear sigma model that we derive from the Hubbard model for any value of the Coulomb repulsion. As the Coulomb repulsion increases, the ground state progressively evolves from a Slater to a Mott-Heisenberg antiferromagnet. At finite temperature, we find a metal-insulator transition between a pseudogap phase at weak coupling and a Mott-Hubbard insulator at strong coupling.

Revised version, to appear in EuroPhys. Letters (epl style included)

Cited by in corpus (14)

• Fate of the false Mott-Hubbard transition in two dimensions
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model
• The Fierz convergence criterion: a controlled approach to strongly-interacting systems with small embedded clusters
• Functional renormalization group approach to the Anderson impurity model
• How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems
• Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
• An Improved Two-Particle Self-Consistent Approach
• Unified intermediate coupling description of the pseudogap and the strange metal phases of cuprates
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• The non-analytic momentum dependence of spin susceptibility of Heisenberg magnets in paramagnetic phase and its effect on critical exponents
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model