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Recurrent Quantum Scars in a Mesoscopic Graphene Ring.

Damien Cabosart1, Alexandre Felten2, Nicolas Reckinger2

  • 1Nanoscopic Physics (NAPS), Institute of Condensed Matter and Nanosciences (IMCN), Université catholique de Louvain (UCL) , Chemin du Cyclotron 2 bte L7.01.07, B-1348 Louvain-la-Neuve, Belgium.

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|February 7, 2017
PubMed
Summary
This summary is machine-generated.

Researchers imaged "quantum scars" in graphene rings using scanning gate microscopy. These patterns, linked to ring geometry, offer insights into charge carrier dynamics in mesoscopic cavities.

Keywords:
Graphenecoherent transportmesoscopic transportquantum scarsrelativistic Dirac particlesscanning gate microscopy

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Coherent charge carriers in micron-scale cavities exhibit dynamics governed by resonant states known as "quantum scars."
  • Quantum scars, influenced by cavity geometry, can be theoretically described and experimentally imaged using scanning gate microscopy (SGM).
  • Previous imaging of quantum scars has been achieved in semiconductor cavities and disordered graphene devices.

Purpose of the Study:

  • To spatially resolve and analyze charge transport through a mesoscopic graphene ring using SGM.
  • To investigate the nature and origin of observed "quantum scar" patterns in graphene ring structures.
  • To correlate the observed recurrences with the geometric dimensions of the graphene ring and theoretical predictions.

Main Methods:

  • Fabrication of a mesoscopic ring from high-quality monolayer graphene on hexagonal boron nitride.
  • Low-temperature charge transport measurements utilizing scanning gate microscopy (SGM).
  • Analysis of SGM images to identify and characterize radial scar patterns and their energy dependence.

Main Results:

  • SGM images revealed radial scar patterns within the graphene ring area.
  • These scar patterns exhibited smooth evolution and recurrence with changes in charge-carrier energy.
  • The energy intervals between recurrent patterns directly correlated with the ring's geometric dimensions.
  • Simulations of the local density of states for a model graphene quantum ring also showed recurrence.

Conclusions:

  • The observed recurrences in graphene quantum rings are consistent with theoretical predictions of relativistic quantum scars.
  • SGM is a powerful tool for visualizing quantum phenomena in mesoscopic graphene devices.
  • The study provides experimental evidence for the influence of geometry on quantum scar formation in graphene nanostructures.