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

E. Gull, M. Ferrero, O. Parcollet, A. Georges, and A. J. Millis
Phys. Rev. B 82, 155101 – Published 1 October 2010

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-Tc 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 on some parts of the Fermi surface but gapless behavior in other parts. 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-Tc cuprates and for the use of cluster dynamical mean-field methods in wider classes of problems are discussed.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
8 More
  • Received 15 July 2010

DOI:https://doi.org/10.1103/PhysRevB.82.155101

©2010 American Physical Society

Authors & Affiliations

E. Gull1, M. Ferrero2, O. Parcollet3, A. Georges2,4, and A. J. Millis1

  • 1Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027, USA
  • 2Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau Cedex, France
  • 3Institut de Physique Théorique, CEA/DSM/IPhT-CNRS/URA 2306, CEA-Saclay, F-91191 Gif-sur-Yvette, France
  • 4Collège de France, 11 Place Marcelin Berthelot, 75231 Paris Cedex 05, France

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 15 — 15 October 2010

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×