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Interaction-Tuned Anderson versus Mott Localization.

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Strong electron correlation in the Falicov-Kimball model reveals three insulating phases and Anderson localization, challenging previous metallic phase interpretations. This work unifies understanding of vanishing conductivity routes.

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Area of Science:

  • Condensed Matter Physics
  • Strongly Correlated Electron Systems
  • Computational Materials Science

Background:

  • Metallic states can become insulating due to disorder or strong electron interactions.
  • The interplay between these mechanisms and vanishing conductivity is a key research area.
  • A unified theoretical framework for these transitions remains elusive.

Purpose of the Study:

  • To investigate the interplay of disorder and electron correlation in driving metal-insulator transitions.
  • To analyze the two-dimensional Falicov-Kimball model for insights into vanishing conductivity.
  • To establish a unifying picture for different routes to insulating states.

Main Methods:

  • Utilizing the two-dimensional Falicov-Kimball model, a standard for strong electron correlation.
  • Analyzing the model under particle-hole symmetry conditions.
  • Characterizing electronic properties including density of states, conductivity, and occupation patterns.

Main Results:

  • Identification of three distinct thermodynamic insulating phases.
  • Demonstration of Anderson localization within the model.
  • Re-evaluation of previously reported metallic phases as finite-size effects related to weak localization.

Conclusions:

  • The Falicov-Kimball model provides a platform to study the interplay of disorder and correlation.
  • Anderson localization and distinct insulating phases are key features under particle-hole symmetry.
  • Findings offer implications for understanding strongly correlated systems and metal-insulator transitions.