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Nuclear quantum effects in graphene bilayers.

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Phonon dispersion in two-dimensional solids from atomic probability distributions.

R Ramírez1, C P Herrero1

  • 1Instituto de Ciencia de Materiales de Madrid (ICMM), Consejo Superior de Investigaciones Científicas (CSIC), Campus de Cantoblanco, 28049 Madrid, Spain.

The Journal of Chemical Physics
|December 16, 2019
PubMed
Summary
This summary is machine-generated.

We introduce a harmonic linear response method to compute phonon dispersion relations for 2D materials at finite temperatures. This approach reveals anharmonic effects in graphene, impacting its thermal and mechanical properties.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • Phonon dispersion relations are crucial for understanding material properties.
  • Calculating these relations accurately, especially at finite temperatures and for 2D materials, presents computational challenges.
  • Existing methods may not fully capture anharmonic effects or are computationally intensive.

Purpose of the Study:

  • To develop a novel harmonic linear response (HLR) method for calculating phonon dispersion relations.
  • To enable accurate calculations from equilibrium simulations at finite temperatures.
  • To investigate anharmonic effects in two-dimensional materials.

Main Methods:

  • The harmonic linear response (HLR) method is proposed, utilizing equilibrium path integral simulations.
  • The method analyzes the centroid density to determine linear response.
  • In the classical limit, it relates to covariance matrix diagonalization of atomic fluctuations.

Main Results:

  • The HLR method's validity was confirmed for graphene monolayer, bilayer, and graphane.
  • Anharmonic effects were demonstrated in graphene's phonon dispersion relations.
  • Temperature dependence of kinetic energy, E2g mode frequency, and elastic moduli were calculated.

Conclusions:

  • The HLR method provides an effective way to compute phonon dispersion relations for 2D materials.
  • The study highlights the significance of anharmonic effects on graphene's properties.
  • This method offers a pathway for more accurate material property predictions at finite temperatures.