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Electrostatic Boundary Conditions in Dielectrics

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When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
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Edge currents shunt the insulating bulk in gapped graphene.

M J Zhu1, A V Kretinin2,3, M D Thompson4

  • 1School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, UK.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum electronics

Background:

  • Graphene bilayers can exhibit energy gaps up to 0.2 eV.
  • These gaps typically do not result in a highly insulating state at low temperatures.
  • Charge inhomogeneity is the common explanation for this phenomenon.

Purpose of the Study:

  • Investigate the reasons behind the lack of a highly insulating state in gapped graphene.
  • Examine proximity-induced superconductivity in gapped graphene.
  • Compare normal-state measurements in different geometries.

Main Methods:

  • Investigated proximity-induced superconductivity in gapped graphene.
  • Performed normal-state measurements using Hall bar and Corbino geometries.
  • Analyzed supercurrent propagation and resistivity at the charge neutrality point.

Main Results:

  • Supercurrent in gapped graphene propagates along narrow edge channels.
  • Resistivity increases exponentially with gap size in the edgeless Corbino geometry.
  • Resistivity saturates at a few resistance quanta in the Hall bar geometry.

Conclusions:

  • Metallic-like edge conductance in gapped graphene is attributed to the nontrivial topology of gapped Dirac spectra.
  • The study provides new insights into the electronic properties of gapped graphene.
  • Findings challenge conventional explanations based solely on charge inhomogeneity.