Quantum phonons and the charge density wave transition temperature: a dynamical mean field study

Abstract

We use the dynamical mean-field method to calculate the charge density wave transition temperature of the half-filled Holstein model as function of typical phonon frequency in the physically relevant adiabatic limit of phonon frequency Omega much less than electron bandwidth t. Our work is the first systematic expansion of the charge density wave problem in Omega/t. Quantum phonon effects are found to suppress Tco severely, in agreement with previous work on one dimensional models and numerical studies of the dynamical mean field model in the extreme antiadiabatic limit (Omega ~ t). We suggest that this is why there are very few CDW systems with mean-field transition temperatures much less than a typical phonon frequency.

8 pages, 4 figures, submitted to Phys. Rev. B, 3 references added

References in corpus (3)

• Gap to Transition Temperature Ratio in Density Wave Ordering: a Dynamical Mean Field Study
• Approximate scaling relation for the anharmonic electron-phonon problem
• Argon annealing of the oxygen-isotope exchanged manganite La_{0.8}Ca_{0.2}MnO_{3+y}

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• Gap ratio in anharmonic charge-density-wave systems
• Infrared absorption of the charge-ordering phase: Lattice effects
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Nonadiabatic Fluctuations and the Charge-Density-Wave Transition in One-Dimensional Electron-Phonon Systems: a Dynamic Self-Consistent