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Gapping Fragile Topological Bands by Interactions.

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  • 1Physics Department, Technion, Haifa 320003, Israel.

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|February 18, 2022
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Summary
This summary is machine-generated.

Strong interactions can gap fragile topological bands in a half-filled system, forming a featureless insulator without breaking symmetry. This involves "trion" bound states, relevant to twisted bilayer graphene experiments.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Matter

Background:

  • Fragile topological bands are protected by symmetry but are gapless at the single-particle level.
  • Electron-electron interactions are crucial for understanding real material properties.

Purpose of the Study:

  • Investigate the impact of strong interactions on fragile topological bands.
  • Determine if these bands can lead to gapped insulating states without symmetry breaking.

Main Methods:

  • Theoretical analysis of many-body systems.
  • Focus on half-filled fragile topological bands.
  • Modeling the formation of fermionic bound states (trions).

Main Results:

  • Interactions open a gap in the many-body spectrum of half-filled fragile bands.
  • The resulting gapped state is not topologically ordered, forming a featureless insulator.
  • Gap opening is mediated by trion-electronic band coupling.

Conclusions:

  • Fragile topological band structures do not obstruct the formation of featureless insulators.
  • The findings offer a potential explanation for experimental observations in twisted bilayer graphene.