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Interacting electrons in a two-orbital Hubbard model can exhibit topological properties, showing the emergence of Haldane edge states with increasing electron-electron interaction strength.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • The spin-1 antiferromagnetic Heisenberg chain is known for its topological properties and exotic edge states.
  • Analysis of strongly correlated systems with varying electron-electron interaction strength is crucial for understanding emergent phenomena.

Purpose of the Study:

  • To investigate the emergence of topological Haldane edge states in a two-orbital Hubbard model.
  • To explore the role of increasing electron-electron interaction strength (Hubbard U and Hund JH) on topological properties.

Main Methods:

  • Utilized the two-orbital Hubbard model to simulate interacting electrons.
  • Systematically varied the Hubbard repulsion (U) and Hund interaction (JH) strengths.
  • Analyzed the ground-state properties to identify topological transitions.

Main Results:

  • Interactions were found to form magnetic moments and a topologically nontrivial fermionic many-body ground-state.
  • Zero-energy edge states characteristic of the Haldane phase were observed.
  • A sharp transition point between topologically trivial and nontrivial ground-states was identified with increasing interaction strength.

Conclusions:

  • The Haldane edge can emerge in strongly correlated electron systems like the two-orbital Hubbard model.
  • Topological nontriviality appears even at relatively small interaction strengths, before significant magnetic moment development.