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Updated: Jun 3, 2026

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Electron-induced rippling in graphene.

P San-Jose1, J González, F Guinea

  • 1Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Madrid, Spain.

Physical Review Letters
|March 17, 2011
PubMed
Summary
This summary is machine-generated.

Graphene sheets may reach a quantum critical point due to flexural phonon interactions, causing vanishing bending rigidity. This leads to ripples and a zero-temperature buckling transition, similar to Higgs field condensation.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Critical Phenomena
  • Materials Science

Background:

  • Graphene's unique electronic and mechanical properties are of significant interest.
  • Understanding phase transitions in 2D materials is crucial for novel applications.

Purpose of the Study:

  • To investigate the role of electron-hole excitations in the behavior of flexural phonons in graphene.
  • To identify potential quantum critical points and associated phase transitions in graphene membranes.

Main Methods:

  • Theoretical analysis of flexural phonon interactions.
  • Incorporation of electron-hole excitation corrections.
  • Investigation of spontaneous symmetry breaking mechanisms.

Main Results:

  • The interaction between flexural phonons, corrected by electron-hole excitations, can drive graphene towards a quantum critical point.
  • Bending rigidity of the graphene sheet vanishes at this critical point.
  • Ripples emerge due to spontaneous symmetry breaking, analogous to Higgs field condensation.

Conclusions:

  • Graphene can undergo a zero-temperature buckling transition driven by quantum critical phenomena.
  • The flexural phonon field's gradient squared acts as the order parameter for this transition.