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Quasiperiodic hubbard chains.

K Hida1

  • 1Department of Physics, Faculty of Science, Saitama University, Urawa, Saitama 338-8570, Japan.

Physical Review Letters
|February 15, 2001
PubMed
Summary
This summary is machine-generated.

This study explores Fibonacci Hubbard models, finding that Coulomb repulsion dictates whether the system acts as a free chain or a Mott insulator with distinct spin behaviors. Modulations influence charge and spin sectors differently.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Many-Body Systems

Background:

  • Fibonacci Hubbard models exhibit complex low-energy properties.
  • Understanding electron correlations in quasi-periodic systems is crucial.

Purpose of the Study:

  • Investigate low-energy properties of half-filled Fibonacci Hubbard models.
  • Analyze the impact of Coulomb repulsion and modulations on charge and spin sectors.

Main Methods:

  • Weak-coupling renormalization group (RG) method.
  • Density matrix renormalization group (DMRG) method.

Main Results:

  • Weak Coulomb repulsion with diagonal modulation leads to a free Fibonacci chain.
  • Strong Coulomb repulsion with diagonal modulation results in a Mott insulator charge sector and a uniform Heisenberg antiferromagnetic spin sector.

Related Experiment Videos

  • Off-diagonal modulation consistently drives the charge sector to a Mott insulator and the spin sector to a Fibonacci antiferromagnetic Heisenberg chain.

    • Conclusions:

    • Coulomb repulsion and modulation type significantly alter the electronic and magnetic properties of Fibonacci Hubbard models.
    • The interplay between quasi-periodicity and interactions leads to diverse emergent phenomena.