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The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap.

Jae-Mo Lihm1,2,3, Dominik Kiese4, Seung-Sup B Lee2,3,5

  • 1European Theoretical Spectroscopy Facility, Institute of Condensed Matter and Nanosciences, Université catholique de Louvain, Louvain-la-Neuve B-1348, Belgium.

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We developed a new method for studying electron systems, improving accuracy for correlated electrons. This approach explains the pseudogap phenomenon in the Hubbard model through spin fluctuations.

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pseudogapstrongly correlated systemtwo-particle correlation

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Interacting electron systems present significant theoretical challenges.
  • Accurate modeling of phenomena like the pseudogap is crucial for understanding materials.
  • Existing two-particle correlation methods have limitations in applicability and accuracy.

Purpose of the Study:

  • To introduce the finite-difference parquet method for enhanced accuracy in studying interacting electron systems.
  • To provide an unbiased treatment of fluctuations for reproducing strong-coupling phenomena.
  • To elucidate the mechanism behind the pseudogap in the underdoped Hubbard model.

Main Methods:

  • Developed the finite-difference parquet method, incorporating nonperturbative local physics.
  • Constructed parquet diagrams while avoiding divergent irreducible vertices.
  • Applied the method to the underdoped Hubbard model.

Main Results:

  • The finite-difference parquet method significantly improves accuracy and applicability.
  • Successfully reproduced the strong-coupling pseudogap in the Hubbard model.
  • Identified a strong-coupling spin-fluctuation mechanism driving the pseudogap.

Conclusions:

  • The finite-difference parquet method offers a robust framework for correlated electron systems.
  • Spin fluctuations, with decisive vertex corrections, are key to the pseudogap mechanism.
  • This work provides crucial insights into the behavior of strongly correlated materials.