Competition between electron-phonon attraction and weak Coulomb repulsion

Abstract

The Holstein-Hubbard model is examined in the limit of infinite dimensions. Conventional folklore states that charge-density-wave (CDW) order is more strongly affected by Coulomb repulsion than superconducting order because of the pseudopotential effect. We find that both incommensurate CDW and superconducting phases are stabilized by the Coulomb repulsion, but, surprisingly, the commensurate CDW transition temperature is more robust than the superconducting transition temperature. This puzzling feature is resolved by a detailed analysis of perturbation theory.

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References in corpus (6)

• Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions
• Conserving approximations for the attractive Holstein and Hubbard models
• Magnetic phase diagram of the Hubbard model
• The ground state of a general electron-phonon Hamiltonian is a spin singlet
• Iterated perturbation theory for the attractive Holstein and Hubbard models
• Weak-coupling expansions for the attractive Holstein and Hubbard models

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