From Slater to Mott-Heisenberg physics: The antiferromagnetic phase of the Hubbard model

Abstract

We study the optical conductivity of the one-band Hubbard model in the Néel state at half filling at T=0 using the dynamical mean-field theory. For small values of the Coulomb parameter clear signatures of a Slater insulator expected from a weak-coupling theory are found, while the strongly correlated system can be well described in terms of a Mott-Heisenberg picture. However, in contrast to the paramagnet, we do not find any evidence for a transition between these two limiting cases but rather a smooth crossover as a function of the Coulomb interaction.

8 pages, 9 figures

References in corpus (4)

• Finite temperature numerical renormalization group study of the Mott-transition
• Magnetism and Phase Separation in the Ground State of the Hubbard Model
• Nonresonant B1g Raman scattering in the Hubbard model
• Nonresonant inelastic light scattering in the Hubbard model

Cited by in corpus (28)

• The numerical renormalization group method for quantum impurity systems
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Static vs. dynamical mean field theory of Mott antiferromagnets
• Z_2-slave-spin theory for strongly correlated fermions
• Mechanisms of finite temperature magnetism in the three-dimensional Hubbard model
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Spectral properties of the three-dimensional Hubbard model
• The magnetic origin of the metal-insulator transition in V2O3: Mott meets Slater
• Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
• Magnetic groundstates in a correlated two orbital Hubbard model
• Orbital Order, Metal Insulator Transition, and Magnetoresistance-Effect in the two-orbital Hubbard model
• Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory
• Kondo effect in f-electron superlattices
• Slater and Mott insulating states in the SU(6) Hubbard model
• Low-energy properties of the Kondo lattice model
• Exactly solvable model of strongly correlated $d$-wave superconductivity
• A Strange Metal from Gutzwiller correlations in infinite dimensions
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Double-Exchange Enhanced Magnetic Blue-Shift of Mott Gaps
• Magnetic phase diagram of the three-dimensional doped Hubbard model
• Metal-insulator transition and antiferromagnetism in the generalized Hubbard model: Treatment of correlation effects
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Crossovers in Unitary Fermi Systems
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Magnetoresistivity in the Antiferromagnetic Hubbard Model