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Summary
This summary is machine-generated.

This study introduces a solvable model of a superconducting Kitaev chain with electronic correlations and disorder. It explores how these factors influence topological properties and Majorana modes in quantum systems.

Keywords:
strongly correlated electronic systemstopological superconductorstopology and disorder

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Matter

Background:

  • Non-trivial topological systems are often studied using simplified non-interacting models.
  • Real systems contain electronic correlations and disorder, which may alter topological properties.
  • Exact solutions for correlated topological systems are rare, limiting understanding.

Purpose of the Study:

  • To extend the solvable Kitaev p-wave superconducting chain model to include electronic correlations.
  • To investigate the interplay between correlations, disorder, and non-trivial topological behavior.
  • To provide a solvable framework for studying Majorana modes in correlated systems.

Main Methods:

  • Investigated a superconducting Kitaev chain model interacting via a Falicov-Kimball Hamiltonian.
  • Introduced a background of localized electrons to model correlations and disorder.
  • Mapped the interacting model to a non-interacting one for exact solvability.

Main Results:

  • Developed an exactly solvable model for a correlated superconducting Kitaev chain.
  • Demonstrated the feasibility of studying the interplay between correlations and topology.
  • Observed new effects arising from the random occupation of the chain by local moments (disorder).

Conclusions:

  • The extended Kitaev chain model provides a valuable tool for exploring correlated topological phases.
  • Electronic correlations and disorder significantly impact topological properties and emergent quasiparticles.
  • The model offers fundamental insights into the behavior of Majorana modes in realistic quantum materials.