Modelling colossal magnetoresistance manganites

Abstract

I briefly survey here attempts to model the rich and strange behaviour of colossal magnetoresistance manganites, after outlining some of the phenomena observed in them, and describing the three relevant strong local interactions of the e_g electrons (in two different orbital states at each site), namely with Jahn-Teller phonon modes (strength g), with resident t_2g spins (ferromagnetic Hund's rule coupling J_H) and amongst each other (the Mott Hubbard correlation U) . A new two fluid model of nearly localized l polarons and band (b) electrons for low energy behaviour emerges for large g; some of its applications are mentioned here. I describe some results of strong coupling U, J_H calculations in single site DMFT (Dynamical Mean Field Theory), and show that in the wide orbital liquid regime many characteristic manganite phenomena such as an insulating ferromagnetic ground state, thermal insulator metal transition, colossal magnetoresistance (cmr), materials systematics and the observed low effective carrier density can all be understood qualitatively and quantitatively. We also discuss the two 'phase' coexistence frequently found in these systems, and show that electrostatic coulomb interactions mute lb phase separation into nanoscale electronic inhomogeneity with l regions and b puddles. Finally, some problems of current interest as well as general ones arising, eg polarons and the physics of large electron phonon coupling g in the adiabatic regime, are mentioned.

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• The Magnetoelectric Effect in Transition Metal Oxides: Insights and the Rational Design of New Materials from First Principles
• Disproportionation and electronic phase separation in parent manganite LaMnO_3
• Colossal electroresistance in ferromagnetic insulating state of single crystal Nd${}_0.7$Pb${}_0.3$MnO${}_3$
• Influence of Al-doping on the structural, magnetic, and electrical properties of La${}_{1-x}$Ba${}_x$Mn${}_{1-x}$Al${}_x$O${}_3$ ($0\le x\le 0.25$) manganites
• Unusual field dependence of radio frequency magnetoimpedance in La0.67Ba0.33MnO3
• Optical phase diagram of perovskite-type colossal magnetoresistance manganites with near-half doping
• The Holstein-Hubbard Model at Half-filling : A Static Auxiliary Field Study
• Polaronic state and nanometer-scale phase separation in colossal magnetoresistive manganites
• Correlating Quasi-Electron Relaxation with Quantum Femtosecond Magnetism in the Order Parameter Dynamics of Insulating Manganites
• Non-Gaussian resistance noise in the ferromagnetic insulating state of a hole doped manganite
• New Correlated Model of Colossal Magnetoresistive Manganese Oxides
• Metal-insulator transition and electroresistance in lanthanum/calcium manganites La_<1-x>Ca_<x>MnO_<3> (x = 0-0.5) from voltage-current-temperature surfaces
• Temperature evolution of superparamagnetic clusters in single-crystal La0.85Sr0.15CoO3 from nonlinear magnetic ac response and neutron depolarization
• Spectral evolution in an insulator exhibiting linear specific heat
• Two-Fluid Behaviour at the Origin of the Resistivity Peak in Doped Manganites
• Orbital liquid in the $e_g$ orbital Hubbard model in $d=\infty$ dimensions
• Enhanced ferromagnetism from electron-electron interactions in double exchange type models
• On the Possibility of Ferromagnetism and Half-Metallicity in Local Moment Systems