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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Physics

Background:

  • Topological phases feature boundary modes sensitive to electronic interactions.
  • Quantum Hall edge states, while studied, have eluded detailed understanding of interaction effects due to experimental challenges.
  • Previous methods lacked microscopic resolution and were complicated by edge disorder.

Purpose of the Study:

  • To investigate the impact of electronic correlations on quantum Hall edge states in graphene.
  • To provide high-resolution, microscopic insights into the internal structure of edge channels.
  • To explore interaction-induced modifications in both integer and fractional quantum Hall states.

Main Methods:

  • Utilized scanning tunnelling microscopy (STM) for high spatial resolution imaging.
  • Studied electrostatically defined quantum Hall edge states in graphene.
  • Applied STM to both integer and fractional quantum Hall phases.

Main Results:

  • Demonstrated that correlations dictate edge channel structure at magnetic and atomic scales.
  • Observed interaction-induced renormalization of edge velocity and spatial profiles for co-propagating modes.
  • Discovered unexpected edge valley polarization in integer quantum Hall states, differing from bulk properties.
  • Detected spectroscopic signatures of interactions in fractional quantum Hall states (chiral Luttinger liquid).

Conclusions:

  • Scanning tunnelling microscopy is a powerful tool for probing edge physics in 2D topological phases.
  • Electronic interactions significantly modify quantum Hall edge states, with some effects beyond mean-field theory.
  • The study provides a microscopic understanding of edge state behavior and interaction effects in graphene.