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Fractionalized Fermionic Quantum Criticality in Spin-Orbital Mott Insulators.

Urban F P Seifert1, Xiao-Yu Dong2, Sreejith Chulliparambil1,3

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This summary is machine-generated.

We explore topological phase transitions in 2D Mott insulators, revealing fractionalized excitations and unique critical behaviors. These findings advance understanding of quantum critical points in complex materials.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Topological phases of matter exhibit unique properties arising from their global structure.
  • Mott insulators with coupled spin and orbital degrees of freedom are candidates for exotic quantum phenomena.

Purpose of the Study:

  • Investigate transitions between topological phases in 2D Mott insulators.
  • Characterize emergent fractionalized excitations and their associated quantum critical points.

Main Methods:

  • Utilized (2+1)-dimensional fermionic quantum critical points within fractionalized Gross-Neveu universality classes.
  • Employed exact mapping to a t-V model for a square-lattice system, leveraging large-scale numerical results.
  • Applied epsilon-expansion and large-N methods for a honeycomb-lattice model analysis.

Main Results:

  • Identified distinct energy spectra in topological phases compared to ordinary Gross-Neveu models.
  • Demonstrated that these models realize fractionalized Gross-Neveu universality classes.
  • Estimated critical behavior using established theoretical techniques.

Conclusions:

  • The study provides insights into the nature of topological phase transitions and fractionalization.
  • Results are relevant for understanding Mott insulators with specific electronic configurations and strong spin-orbit coupling.
  • Findings may apply to advanced material systems like twisted bilayer Kitaev materials.