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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
11:42

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Published on: July 24, 2015

Dynamic gap generation in graphene under the long-range Coulomb interaction.

Jing-Rong Wang1, Guo-Zhu Liu

  • 1Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 16, 2011
PubMed
Summary

Dynamic gap generation in graphene is influenced by Coulomb interaction. Energy dependence and fermion velocity renormalization are crucial factors affecting critical interaction strength.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Graphene exhibits unique electronic properties due to its band structure.
  • The long-range Coulomb interaction plays a significant role in modifying graphene's electronic behavior.
  • Understanding dynamic gap generation is key to controlling graphene's conductivity.

Purpose of the Study:

  • To investigate dynamic gap generation in graphene under long-range Coulomb interaction.
  • To analyze the impact of energy dependence and fermion velocity renormalization on the critical interaction strength.

Main Methods:

  • Utilizing the Dyson-Schwinger gap equation.
  • Extending the analysis beyond the instantaneous approximation.

Main Results:

  • The critical interaction strength decreases to 0.542 when energy dependence is considered.
  • Including fermion velocity renormalization increases the critical interaction strength to 1.02.

Conclusions:

  • Both energy dependence and fermion velocity renormalization are vital for dynamic gap generation in graphene.
  • These factors significantly alter the critical interaction strength required for gap formation.