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Related Experiment Videos

Marginal fermi liquid theory in the Hubbard model.

Y Kakehashi1, P Fulde

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany.

Physical Review Letters
|May 21, 2005
PubMed
Summary
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We found marginal-Fermi-liquid (MFL) behavior in the Hubbard model, with a doping-dependent Fermi surface and a phase transition to Fermi-liquid behavior. This transition is linked to the collapse of the lower Hubbard band.

Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Computational physics

Background:

  • The Hubbard model is a fundamental model for understanding strongly correlated electron systems.
  • Investigating the normal state properties of the Hubbard model is crucial for explaining phenomena in materials like cuprates.

Purpose of the Study:

  • To investigate the emergence of marginal-Fermi-liquid (MFL) behavior in the Hubbard model on a square lattice.
  • To determine the doping dependence of the Fermi surface and single-particle excitations.
  • To explore the transition between MFL and Fermi-liquid states.

Main Methods:

  • Utilizing a self-consistent projection operator method.
  • Calculating the momentum and frequency dependence of single-particle excitations with high resolution.

Related Experiment Videos

  • Comparing results with finite temperature quantum Monte Carlo simulations.

    • Main Results:

    • Observed MFL-like behavior for a range of hole doping and interaction parameters (U).
    • Identified a holelike Fermi surface in the underdoped regime and an electronlike Fermi surface in the overdoped regime.
    • Discovered a discontinuous transition from MFL to Fermi-liquid behavior with increasing doping, due to the collapse of the lower Hubbard band.

    Conclusions:

    • Luttinger's theorem is inapplicable in the underdoped regime due to the observed phase transition.
    • The findings provide insights into the complex electronic properties of correlated electron systems.
    • The study highlights the importance of the lower Hubbard band collapse in driving electronic phase transitions.