Competition between antiferromagnetic and charge density wave order in the half filled Hubbard-Holstein model

Abstract

We present a determinant quantum Monte Carlo study of the competition between instantaneous on-site Coulomb repulsion and retarded phonon-mediated attraction between electrons, as described by the two dimensional Hubbard-Holstein model. At half filling, we find a strong competition between antiferromagnetism (AFM) and charge density wave (CDW) order. We demonstrate that a simple picture of AFM-CDW competition that incorporates the phonon mediated attraction into an effective-U Hubbard model requires significant refinement. Specifically, retardation effects slow the onset of charge order, so that CDW order remains absent even when the effective U is negative. This delay opens a window where neither AFM nor CDW order is well established, and where there are signatures of a possible metallic phase.

5 pages, 4 figures

References in corpus (12)

• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Charge dynamics of doped holes in high Tc cuprates - A clue from optical conductivity
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Metallicity in the half-filled Holstein-Hubbard model
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Electron-phonon interaction and antiferromagnetic correlations
• Competition between antiferromagnetic and charge order in the Hubbard-Holstein model
• Synergistic Polaron Formation in the Hubbard-Holstein Model at Small Doping
• Charge ordering and magnetism in quarter-filled Hubbard-Holstein model
• Effect of long-range hopping on Tc in a two-dimensional Hubbard-Holstein model of the cuprates
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model

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