Many-body CPA for the Holstein-DE model

Abstract

A many-body coherent potential approximation (CPA) previously developed for the double exchange (DE) model is extended to include coupling to local quantum phonons. The Holstein-DE model studied (equal to the Holstein model for zero Hund coupling) is considered to be a simple model for the colossal magnetoresistance manganites. We concentrate on effects due to the quantisation of the phonons, such as the formation of polaron subbands. The electronic spectrum and resistivity are investigated for a range of temperature and electron-phonon coupling strengths. Good agreement with experiment is found for the Curie temperature and resistivity with intermediate electron-phonon coupling strength, but phonon quantisation is found not to have a significant effect in this coupling regime.

19 pages, 7 figures

References in corpus (3)

• Electrical transport in the ferromagnetic state of manganites: Small-polaron metallic conduction at low temperatures
• Determination of the magnetization scaling exponent for single crystal La${}_{0.8}$Sr${}_{0.2}$MnO${}_3$ by broadband microwave surface impedance measurements
• Electronic Correlations in Manganites

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• Exploiting B Site Disorder for Phase Control in the Manganites
• Electronic and Magnetic Reconstructions in Manganite Superlattices
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• Large lattice distortions associated with the magnetic transition in La0.7Sr0.3MnO3
• Colossal magnetoresistance and quenched disorder in manganese oxides
• Diagrammatic method for theory of magnetic and resistive properties of manganites
• Conductance Switching and Inhomogeneous Field Melting in the Charge Ordered Manganites
• Charge ordering in half-doped Pr(Nd)${}_{0.5}$Ca${}_{0.5}$MnO${}_3$ under magnetic field
• Structural Disorder Induced Polaron Formation and Magnetic Scattering in the Disordered Holstein-Double Exchange Model
• Entropy-Driven Reentrant Behavior in CMR Manganites