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Nearest-neighbor interactions in Dirac semimetals can induce a charge density wave insulator. Further interactions lead to anisotropic semimetals or stripe/dimerized insulators, with complex interplay between next-nearest-neighbor and next-next-nearest-neighbor forces.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Materials

Background:

  • Dirac semimetals (SMs) exhibit unique electronic properties due to linear energy-momentum dispersion.
  • Understanding interaction-driven phase transitions is crucial for designing novel quantum materials.
  • The π-flux model on a square lattice provides a platform to study these phenomena.

Purpose of the Study:

  • To investigate the interaction-driven phase transitions in a Dirac semimetal.
  • To explore the effects of nearest-neighbor (NN), next-nearest-neighbor (NNN), and next-next-nearest-neighbor (NNNN) interactions.
  • To analyze the interplay between NNN and NNNN interactions.

Main Methods:

  • Exact diagonalization method was employed.
  • Systematic study of various interaction strengths (NN, NNN, NNNN).
  • Phase diagrams were mapped based on interaction parameters.

Main Results:

  • NN interaction drives a transition from Dirac SM to a charge density wave insulator.
  • NNN interaction leads to anisotropic SM or stripe-ordered insulator.
  • NNNN interaction induces a dimerization transition.
  • NNNN interaction can overcome NNN interaction effects.

Conclusions:

  • The study reveals diverse interaction-driven phases in the Dirac semimetal.
  • The interplay of longer-range interactions significantly modifies the electronic phases.
  • No evidence for an interaction-driven quantum anomalous Hall phase was found.