Mott Transitions in the 2D Half-Filled Hubbard Model: Correlator Projection Method with Projective Dynamical Mean-Field Approximation

Abstract

The 2D half-filled Hubbard model is studied by a nonperturbative analytic theory of correlator projection. The original dynamical mean-field approximation (DMFA) is reproduced at the first-order projection and then improved by systematic inclusion of spatial correlations at higher orders. A geometrical frustration induces a first-order Mott transition surface with a finite-temperature critical end curve. Growth of antiferromagnetic correlations gives single-particle spectra strongly modified from DMFA with shadow bands and flat dispersions observed in high-T_c cuprates.

4 pages, including 6 figures, revisions including new figures

References in corpus (7)

• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• Magnetic and Metal-Insulator Transitions through Bandwidth Control in Two-Dimensional Hubbard Models with Nearest and Next-Nearest Neighbor Transfers
• A note on cluster methods for strongly correlated electron systems
• ARPES Spectra of the Hubbard model
• Filling-Control Metal-Insulator Transition in the Hubbard Model Studied by the Operator Projection Method
• Operator projection method applied to the single-particle Green's function in the Hubbard model
• Operator Projection Theory for Electron Differentiation in Underdoped Cuprate Superconductors

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