Nearest-Neighbor Repulsion and Competing Charge and Spin Order in the Extended Hubbard Model

Abstract

We generalize the two-particle self-consistent approach (TPSC) to study the extended Hubbard model, where nearest-neighbor interaction is present in addition to the usual local screened interaction. Similarities and differences between the TPSC approach and the Singwi Tosi Land Sjölander (STLS) approximation for the electron gas are discussed. The accuracy of our extension of TPSC is assessed by comparisons with Quantum Monte Carlo calculations of Y. Zhang and J. Callaway, Phys. Rev. B \textbf{39}, 9397 (1989). We observe that a positive off-site interaction enhances staggered charge fluctuations and reduces staggered magnetic order.

arXiv comment16 pages, 8 figures, submitted to PRB

References in corpus (20)

• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Charge ordering in extended Hubbard models: Variational cluster approach
• Theory of single-particle properties of the Hubbard model
• Renormalized perturbation theory for Fermi systems: Fermi surface deformation and superconductivity in the two-dimensional Hubbard model
• Phase diagram of the two-dimensional extended Hubbard model: Phase transitions between different pairing symmetries when charge and spin fluctuations coexist
• Theory of spin and charge fluctuations in the Hubbard model
• Many-body Theory vs Simulations for the pseudogap in the Hubbard model
• Reentrant charge order transition in the extended Hubbard model
• Antiferromagnetic fluctuations and d-wave superconductivity in electron-doped high-temperature superconductors
• Pairing fluctuations and pseudogaps in the attractive Hubbard model
• Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder
• Metal-insulator transition and charge ordering in the extended Hubbard model at one-quarter filling
• Crossover from two- to three-dimensional critical behavior for nearly antiferromagnetic itinerant electrons
• Comment on "Absence of a Slater Transition in the Two-Dimensional Hubbard Model"
• Charge-order transition in the extended Hubbard model on a two-leg ladder
• Spin susceptibility of interacting electrons in one dimension: Luttinger liquid and lattice effects
• The Hubbard model with intersite interaction within the Composite Operator Method
• Charge Ordered Insulator without Magnetic Order Studied by Correlator Projection Method

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