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Graphene quantum Hall effect parallel resistance arrays.

Alireza R Panna1, I-Fan Hu1,2, Mattias Kruskopf1,3

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Researchers developed novel graphene parallel quantum Hall resistance (QHR) arrays for highly precise electrical metrology. These arrays achieve robust quantization near 1000 Ω, advancing resistance standards.

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Area of Science:

  • Condensed Matter Physics
  • Electrical Metrology
  • Materials Science

Background:

  • Epitaxial graphene on SiC(0001) offers a unique platform for quantum Hall resistance (QHR) metrology.
  • Existing two-dimensional materials present limitations for precise resistance measurements.

Purpose of the Study:

  • To engineer graphene parallel QHR arrays for metrologically precise quantization near 1000 Ω.
  • To enhance the precision and tunability of QHR measurements using graphene-based devices.

Main Methods:

  • Fabrication of graphene parallel QHR arrays with uniform epitaxial growth and chemical functionalization.
  • Optimization of device networks using branched contacts and superconducting interconnections.
  • Tuning carrier densities to achieve robust quantization at specific filling factors (ν = 2 and ν = 6).

Main Results:

  • Achieved metrologically precise quantization near 1000 Ω in graphene parallel QHR arrays.
  • Demonstrated relative precision better than 10⁻⁸ at the ν = 2 filling factor.
  • Showcased broad tunability of carrier density, enabling investigation of the ν = 6 plateau.
  • Suppressed Ohmic contact resistance error and avoided crossover leakage in optimized networks.

Conclusions:

  • Graphene parallel QHR arrays provide an advanced platform for resistance metrology.
  • The developed arrays enable more direct scaling of resistance for quantized values.
  • Optimized device design enhances precision and reliability in QHR measurements.