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d-Mott phases in one and two dimensions.

A Läuchli1, C Honerkamp, T M Rice

  • 1Laboratoire de Physique Théorique, CNRS-UMR 5152, Université Paul Sabatier, F-31062 Toulouse, France.

Physical Review Letters
|February 3, 2004
PubMed
Summary
This summary is machine-generated.

We study strong coupling in Hubbard models using renormalization group flows. Results show a Mott insulating state for two-leg ladders and reveal d-wave superconductivity emerging at lower energy scales in 2D models.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • The Hubbard model is a fundamental model for strongly correlated electron systems.
  • Understanding the interplay between magnetic and superconducting phases is crucial.

Purpose of the Study:

  • Investigate the behavior of Hubbard models under strong coupling conditions.
  • Determine the ground state properties and emergent phenomena.

Main Methods:

  • Exact diagonalization techniques.
  • Renormalization group (RG) flows to strong coupling.

Main Results:

  • Reproduced the insulating Mott ground state for half-filled two-leg Hubbard ladders, confirming spin and charge gaps.
  • Observed a crossover to a strong coupling state in 2D Hubbard models near half filling, truncating the Fermi surface.
  • Identified d-wave superconductivity emerging at lower energy scales on the remaining Fermi surface.

Conclusions:

  • Strong coupling significantly alters the electronic properties of Hubbard models.
  • The study provides insights into the emergence of superconductivity from a Mott insulating background.