A Dynamical Quantum Cluster Approach to Two-Particle Correlation Functions in the Hubbard Model

Abstract

We investigate the charge- and spin dynamical structure factors for the 2D one-band Hubbard model in the strong coupling regime within an extension of the Dynamical Cluster Approximation (DCA) to two-particle response functions. The full irreducible two-particle vertex with three momenta and frequencies is approximated by an effective vertex dependent on the momentum and frequency of the spin/charge excitation. In the spirit of the DCA, the effective vertex is calculated with quantum Monte Carlo methods on a finite cluster. On the basis of a comparison with high temperature auxiliary field quantum Monte Carlo data we show that near and beyond optimal doping, our results provide a consistent overall picture of the interplay between charge, spin and single-particle excitations.

8 pages, 11 figures

References in corpus (8)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Quantum Cluster Theories
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• Pseudogaps and their Interplay with Magnetic Excitations in the doped 2D Hubbard Model

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• Doping evolution of spin and charge excitations in the Hubbard model
• Spin, charge and single-particle spectral functions of the one-dimensional quarter filled Holstein model
• Dynamical Charge Susceptibility in the Hubbard Model
• Theory of two-particle excitations and the magnetic susceptibility in high-Tc cuprate superconductors
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates
• Dynamics of magnetic collective modes in the square and triangular lattice Mott insulators at finite temperature