Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics

Abstract

We demonstrate how to identify which physical processes dominate the low-energy spectral functions of correlated electron systems. We obtain an unambiguous classification through an analysis of the equation of motion for the electron self-energy in its charge, spin and particle-particle representations. Our procedure is then employed to clarify the controversial physics responsible for the appearance of the pseudogap in correlated systems. We illustrate our method by examining the attractive and repulsive Hubbard model in two-dimensions. In the latter, spin fluctuations are identified as the origin of the pseudogap, and we also explain why $d-$wave pairing fluctuations play a marginal role in suppressing the low-energy spectral weight, independent of their actual strength.

6 pages, 2 figures + 4 pages supplementary

References in corpus (21)

• Continuous-time Monte Carlo methods for quantum impurity models
• Scanning tunneling spectroscopy of high-temperature superconductors
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• A Phenomenological Theory of The Pseudogap State
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Magnetic neutron scattering in hole doped cuprate superconductors
• Non-existence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Visualizing the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
• A finite-frequency functional RG approach to the single impurity Anderson model
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Effective band-structure in the insulating phase versus strong dynamical correlations in metallic VO2
• Energetics of superconductivity in the two dimensional Hubbard model
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling
• Dynamical vertex approximation for nanoscopic systems
• Photo-enhanced antinodal conductivity in the pseudogap state of high Tc cuprates
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Cluster Dynamical Mean-field calculations for TiOCl
• Momentum-resolved single-particle spectral function for TiOCl from a combination of density functional and variational cluster calculations
• Fourier transformation and response functions

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