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

Abstract

Cluster dynamical mean field calculations based on 2, 4, 8 and 16 site clusters are used to analyze the doping-driven metal-insulator transition in the two dimensional Hubbard model. Comparison of results obtained on different clusters enables a determination of those aspects of the physics that are common to all clusters and permits identification of artifacts associated with particular cluster geometries. A modest particle-hole asymmetry in the underlying band structure is shown to lead to qualitatively different behavior on the hole doped side than on the electron doped side. For particle-hole asymmetry of the sign and magnitude appropriate to high-$T_c$ cuprates, the approach to the insulator from the hole-doping side is found to proceed in two stages from a high-doping region where the properties are those of a Fermi liquid with moderately renormalized parameters and very weak momentum dependence. As doping is reduced the system first enters an intermediate doping regime where the Fermi liquid renormalizations are larger and the electron self energy varies significantly around the Fermi surface and then passes to a small doping regime characterized by a gap in some regions of the Fermi surface but gapless behavior in other regions. On the electron doped side the partially gapped regime does not occur, and the momentum dependence of the electron self energy is less pronounced. Implications for the high-$T_c$ cuprates and for the use of cluster dynamical mean field methods in wider classes of problems are discussed.

References in corpus (16)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Cluster Dynamical Mean Field Theory of the Mott Transition
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Pseudogap and antiferromagnetic correlations in the Hubbard model
• Optical conductivity and the correlation strength of high temperature copper-oxide superconductors
• Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
• Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Correlation between $T_c$ and anisotropic scattering in Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$
• Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Valence-Bond Dynamical Mean-Field Theory of Doped Mott Insulators with Nodal/Antinodal Differentiation
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems

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• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
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