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d-wave superconductivity in the hubbard model

Maier1, Jarrell, Pruschke

  • 1Institut fur Theoretische Physik, Universitat Regensburg, 93040 Regensburg, Germany.

Physical Review Letters
|September 6, 2000
PubMed
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Researchers explored superconducting instabilities in the 2D Hubbard model. Stable d-wave solutions were found, with high critical temperatures (Tc) near 150 K at 20% doping, matching observed high-Tc phase diagrams.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • The 2D Hubbard model is a fundamental model for understanding strongly correlated electron systems.
  • Superconductivity in these systems, particularly high-temperature superconductivity, remains a significant challenge in condensed matter physics.
  • Investigating superconducting instabilities is crucial for discovering new superconducting materials and mechanisms.

Purpose of the Study:

  • To investigate the superconducting instabilities of the doped repulsive 2D Hubbard model.
  • To explore the intermediate to strong coupling regime relevant to high-temperature superconductors.
  • To determine the conditions for stable superconducting states and their transition temperatures.

Main Methods:

  • Utilizing the dynamical cluster approximation (DCA) to study the electronic properties.

Related Experiment Videos

  • Employing an extended noncrossing approximation to solve the effective cluster problem.
  • Analyzing the emergence of broken symmetry states and long-range order.
  • Main Results:

    • Stable d-wave superconducting solutions were identified at low temperatures.
    • Off-diagonal long-range order was observed in these solutions.
    • A maximal critical temperature (Tc) of approximately 150 K was found at a doping level (delta) of approximately 20%.

    Conclusions:

    • The study confirms the possibility of d-wave superconductivity in the 2D Hubbard model within the studied parameter range.
    • The calculated doping dependence of transition temperatures aligns with experimental observations of high-Tc superconductors.
    • These findings contribute to a deeper understanding of the mechanisms driving high-temperature superconductivity.