Magnetism and orbital-ordering in an interacting three band model: a dynamical mean field study

Abstract

Single-site dynamical mean field theory is used to determine the magnetic and orbital-ordering phase diagram for a model of electrons moving on a lattice with three orbital states per site and with the fully rotationally invariant Slater-Kanamori on-site interactions. The model captures important aspects of the physics of transition metal oxides with partially filled $t_{2g}$ shells, and of electron-doped C${}_{60}$. We introduce an unbiased, computationally simple and inexpensive method for estimating the presence of two sublattice order, determine the regimes in which spatially uniform and two-sublattice spin and orbital orderings are present and give physical arguments for the origins of the different phases. Guidelines are determined for optimizing the presence of ferromagnetism, which may be desirable in applications

References in corpus (21)

• Magnetic effects at the interface between nonmagnetic oxides
• A continuous-time solver for quantum impurity models
• The ALPS project release 1.3: open source software for strongly correlated systems
• Continuous Time Quantum Monte Carlo method for fermions
• Mott transition and suppression of orbital fluctuations in orthorhombic 3$d^1$ perovskites
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model
• Orbital-Selective Mott transition out of band degeneracy lifting
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Lattice relaxation, electronic screening, and spin and orbital phase diagram of LaTiO${}_3$/SrTiO${}_3$ superlattices
• Orbital selective Mott transition in multi-band systems: slave-spin representation and dynamical mean-field theory
• High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems
• Microscopic conditions favoring itinerant ferromagnetism: Hund's rule coupling and orbital degeneracy
• Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling
• Ferromagnetism in the Hubbard model with orbital degeneracy in infinite dimensions
• Subband filling and Mott transition in Ca_{2-x}Sr_xRuO_4
• A new numerical algorithm for the double-orbital Hubbard model -- Hund-coupled pairing symmetry in the doped case
• Exact Diagonalization Dynamical Mean Field Theory for Multi-Band Materials: Effect of Coulomb correlations on the Fermi surface of Na_0.3CoO_2
• T=0 Phase Diagram of the Double-Exchange Model
• Doping variation of anisotropic charge and orbital dynamics in Y1-xCaxVO3 : Comparison with La1-xSrxVO3
• Effect of Hund's exchange on the spectral function of a triply orbital degenerate correlated metal

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• Spin-orbit-induced exotic insulators in a three-orbital Hubbard model with $(t_{2g}{)}^5$ electrons
• Theory of ferromagnetism in vanadium-oxide based perovskites
• High-frequency asymptotic behavior of self-energies in quantum impurity models
• Role of rotational symmetry in the magnetism of a multiorbital model
• Antisite defects at oxide interfaces
• Rubidium superoxide: a p-electron Mott insulator
• Double-expansion impurity solver for multiorbital models with dynamically screened U and J
• Time-Dependent Gutzwiller Theory for Multiband Hubbard Models
• Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
• Grassmann Time-Evolving Matrix Product Operators for Equilibrium Quantum Impurity Problems
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• Sign-Free Determinant Quantum Monte Carlo Study of Excitonic Density Orders in a Two-Orbital Hubbard-Kanamori Model
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• Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard model
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• Entropy and specific heat of the infinite-dimensional three-orbital Hubbard model
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• Scalable tensor network algorithm for quantum impurity problems