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Preparation of Graphene-Supported Microwell Liquid Cells for In Situ Transmission Electron Microscopy
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Lazy electrons in graphene.

Vaibhav Mohanty1,2, Eric J Heller1,2

  • 1Department of Physics, Harvard University, Cambridge, MA 02138; mohanty@alumni.harvard.edu eheller@fas.harvard.edu.

Proceedings of the National Academy of Sciences of the United States of America
|August 25, 2019
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Summary
This summary is machine-generated.

The Born-Oppenheimer approximation inaccurately describes graphene

Keywords:
Born–Oppenheimer approximationgraphenenonadiabatic dynamicstight-bindingtime-dependent quantum mechanics

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum mechanics

Background:

  • The Born-Oppenheimer approximation is a cornerstone of molecular and condensed matter physics, simplifying calculations by assuming nuclei are much slower than electrons.
  • Accurate modeling of electron-phonon interactions is crucial for understanding material properties like conductivity and superconductivity.

Purpose of the Study:

  • To investigate the validity of the Born-Oppenheimer approximation for describing electron dynamics in graphene under nuclear vibrations.
  • To explore alternative models for accurately capturing electron-phonon coupling in graphene.

Main Methods:

  • Numerical determination of time evolution for graphene electronic states.
  • Utilizing a tight-binding approximation with p-orbital basis, without strict adherence to the Born-Oppenheimer approximation.
  • Employing an "atomically adiabatic" approach where basis p-orbitals follow nuclear positions.

Main Results:

  • The strict adiabatic Born-Oppenheimer approximation demonstrates significant inaccuracies in describing graphene's electronic states.
  • A diabatic Born-Oppenheimer model, where electrons respond weakly to nuclear distortions, offers a substantially more accurate representation.
  • The study highlights the limitations of standard approximations in capturing complex electron-phonon interactions in 2D materials.

Conclusions:

  • The conventional Born-Oppenheimer approximation is inadequate for precise modeling of electron dynamics in graphene with vibrating nuclei.
  • A diabatic model provides a superior framework for understanding electron-phonon interactions in graphene.
  • The findings suggest the need for generalized many-body Bloch orbital-nuclear basis sets for advanced electron-phonon coupling studies in graphene.