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Updated: Jun 27, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Projectability disentanglement for accurate and automated electronic-structure Hamiltonians
Junfeng Qiao1, Giovanni Pizzi1,2, Nicola Marzari1,2
1Theory and Simulations of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland.
We developed projectability-disentangled Wannier functions (PDWFs) to automate the construction of maximally-localized Wannier functions (MLWFs). This method provides an accurate tight-binding description of electronic structures for materials.
Area of Science:
- Solid-state physics and materials science.
- Computational condensed matter physics.
Background:
- Maximally-localized Wannier functions (MLWFs) are crucial for characterizing material electronic structures.
- Constructing MLWFs for isolated or entangled bands often demands expertise and iterative refinement, hindering large-scale computations.
Purpose of the Study:
- To introduce an automated method for generating accurate and compact maximally-localized Wannier functions (MLWFs).
- To provide a robust tight-binding representation of electronic states in crystalline solids.
Main Methods:
- Developed projectability-disentangled Wannier functions (PDWFs) by introducing a projectability measure.
- Utilized this measure to guide the disentanglement process for Bloch states onto atomic orbitals.
- Applied the method to spanned occupied and empty electronic bands.
Main Results:
- Successfully constructed MLWFs for both occupied and unoccupied electronic bands.
- Demonstrated the accuracy of PDWFs on a diverse set of 200 materials.
- Validated the reliability through the generation of 21,737 Wannier Hamiltonians.
Conclusions:
- PDWFs offer an automated and reliable approach to obtaining tight-binding models from first-principles calculations.
- This method overcomes previous limitations, facilitating high-throughput electronic structure analysis.
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