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Probing C84-embedded Si Substrate Using Scanning Probe Microscopy and Molecular Dynamics
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Unfolding method for first-principles LCAO electronic structure calculations.

Chi-Cheng Lee1, Yukiko Yamada-Takamura, Taisuke Ozaki

  • 1School of Materials Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa 923-1292, Japan. leechich@jaist.ac.jp

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 6, 2013
PubMed
Summary
This summary is machine-generated.

We generalized the band structure unfolding method to the linear combination of atomic orbitals (LCAO) approach. This new method accurately calculates spectral weights, revealing how surfaces and impurities affect electronic band structures.

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Published on: October 12, 2019

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Chemistry

Background:

  • Band structure unfolding is crucial for understanding how symmetry breaking affects electronic properties.
  • Existing methods, often based on Wannier functions, have limitations when applied to complex systems.
  • Investigating perturbations like surfaces and impurities requires robust theoretical tools.

Purpose of the Study:

  • To generalize the band structure unfolding method to the linear combination of atomic orbitals (LCAO) basis set.
  • To develop a general formula for calculating unfolded spectral weight within the LCAO framework.
  • To demonstrate the method's utility by analyzing a realistic material system.

Main Methods:

  • Generalization of the band structure unfolding technique to accommodate LCAO basis sets.
  • Development of a formula to compute unfolded spectral weight, accounting for LCAO non-orthogonality.
  • Application of the method to calculate the spectral properties of a Zirconium Diboride (ZrB2) slab.

Main Results:

  • The LCAO basis set proves advantageous for unfolding due to its invariance properties.
  • A method to properly incorporate LCAO non-orthogonality into the unfolding formula was established.
  • Calculations on a ZrB2 slab revealed significant spectral broadening in the out-of-plane direction.

Conclusions:

  • The generalized unfolding method provides a powerful tool for studying electronic structures in systems with surfaces and impurities.
  • The LCAO approach offers a robust and adaptable framework for advanced electronic structure calculations.
  • The observed spectral broadening highlights the method's capability to reveal subtle electronic phenomena.