Microscopic modelling of doped manganites

Abstract

Colossal magneto-resistance manganites are characterised by a complex interplay of charge, spin, orbital and lattice degrees of freedom. Formulating microscopic models for these compounds aims at meeting to conflicting objectives: sufficient simplification without excessive restrictions on the phase space. We give a detailed introduction to the electronic structure of manganites and derive a microscopic model for their low energy physics. Focussing on short range electron-lattice and spin-orbital correlations we supplement the modelling with numerical simulations.

20 pages, 10 figs, accepted for publ. in New J. Phys., Focus issue on Orbital Physics

References in corpus (26)

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• Atomic-scale images of charge ordering in a mixed-valence manganite
• Electronic origin of magnetic and orbital ordering in insulating LaMnO_3
• Ferromagnetism and electron-phonon coupling in the manganites
• Electronic Hamiltonian for Transition Metal Oxide Compounds
• Orbital dynamics in ferromagnetic transition metal oxides
• Hybrid Monte Carlo algorithm for the Double Exchange Model
• Phase diagram of a 1 dimensional spin-orbital model
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• Spin and orbital excitation spectrum in the Kugel-Khomskii model
• Photoemission spectra of LaMnO3 controlled by orbital excitations
• Quantum disorder versus order-out-of-disorder in the Kugel-Khomskii model
• Optical conductivity in doped manganites with planar x${}^2$-y${}^2$ orbital order
• Complex orbital state in manganites
• Numerical study of the $E\otimes e$ Jahn-Teller polaron and bipolaron
• Electronic structure and resistivity of the double exchange model
• The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron
• Considerations on the quantum double-exchange Hamiltonian
• Interplay of charge, spin, orbital and lattice correlations in colossal magnetoresistance manganites
• Magnetic susceptibility of the double exchange model
• Transverse muon polarization in K+ -> mu+ nu_mu gamma: scanning over the Dalitz plot
• Spin-lattice coupling effects in the Holstein double-exchange model
• Novel type of orbital ordering: complex orbitals in doped Mott insulators
• Lattice and superexchange effects in doped CMR manganites

Cited by in corpus (31)

• Fingerprints of spin-orbital physics in cubic Mott insulators: Magnetic exchange interactions and optical spectral weights
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Modelling colossal magnetoresistance manganites
• Orbital and spin physics in LiNiO2 and NaNiO2
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Orbital liquid in ferromagnetic manganites: The orbital Hubbard model for $e_g$ electrons
• Polarons and slow quantum phonons
• Orbitally induced string formation in the spin-orbital polarons
• Spontaneous symmetry breaking in a generalized orbital compass model
• Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals
• Doping dependence of spin and orbital correlations in layered manganites
• Optical absorption and activated transport in polaronic systems
• Localization-delocalization transition of a polaron near an impurity
• Defect states and excitations in a Mott insulator with orbital degrees of freedom: Mott-Hubbard gap versus optical and transport gaps in doped systems
• Defect states and spin-orbital physics in doped vanadates Y1-xCaxVO3
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Charge and orbital order in transition metal oxides
• Dimensional crossover and the magnetic transition in electron doped manganites
• Spin--orbital physics in transition metal oxides
• Jahn-Teller distortions and the magnetic order in the perovskite manganites
• One-Dimensional Quantum Transport Affected by a Background Medium: Fluctuations versus Correlations
• Phase separation in the Edwards model
• Charge transfer model for the electronic structure of layered ruthenates
• Onset of metallic ferromagnetism in a doped spin-orbital chain
• Exact spectral function for hole-magnon coupling in the ferromagnetic CuO${}_3$-like chain
• Jahn-Teller mechanism of stripe formation in doped layered La${}_{2-x}$Sr${}_x$NiO${}_4$ nickelates
• Jahn-Teller states mixed by spin-orbit coupling in an electromagnetic field
• Magnetic and orbital correlations in a two-site molecule
• Orbital Rotations induced by Charges of Polarons and Defects in Doped Vanadates
• A possibility of high spin hole states in doped CoO${}_2$ layered systems
• Spin-lattice coupling effects in the Holstein double-exchange model