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Open-boundary cluster model with a parameter-free complex absorbing potential.

Kosuke Imamura1, Tomokazu Yasuike2, Hirofumi Sato1,3

  • 1Department of Molecular Engineering, Graduate School of Engineering, Kyoto University, Kyoto 615-8510, Japan.

The Journal of Chemical Physics
|January 17, 2024
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Summary

This study introduces a parameter-free complex absorbing potential (CAP) for the open-boundary cluster model (OCM) in quantum chemistry. This advancement accurately calculates electronic structures for heterogeneous solid surfaces without complex optimization.

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Area of Science:

  • Quantum Chemistry
  • Solid-State Physics
  • Computational Materials Science

Background:

  • Conventional cluster models struggle to accurately represent the electronic structure of extended solid substrates due to finite size limitations.
  • The open-boundary cluster model (OCM) addresses this by incorporating outgoing-wave boundary conditions, but typically requires parameter-optimized complex absorbing potentials (CAPs).
  • Previous CAP implementations in OCM relied on complex variational principles, necessitating computationally intensive parameter tuning.

Purpose of the Study:

  • To develop and implement a parameter-free complex absorbing potential (CAP) for open-boundary cluster model (OCM) calculations.
  • To enable unique, band-specific CAP determination using surface Green's function theory.
  • To validate the efficacy of the parameter-free CAP in accurately describing electronic structures of heterogeneous solid surfaces.

Main Methods:

  • Development of a parameter-free complex absorbing potential (CAP) based on surface Green's function theory.
  • Application of the parameter-free CAP within the open-boundary cluster model (OCM) framework.
  • Validation using a tight-binding model of a one-dimensional semi-infinite chain and the Newns-Anderson-Grimley model for surface states.

Main Results:

  • The parameter-free CAP, derived from surface Green's function theory, allows for unique, band-specific determination.
  • OCM calculations using the new CAP on a 1D semi-infinite chain showed excellent agreement between calculated and exact densities of states.
  • The projected density of states on adsorbed atoms for the Newns-Anderson-Grimley model was accurately reproduced, validating the method for surface phenomena.

Conclusions:

  • The proposed parameter-free CAP significantly simplifies and improves the accuracy of open-boundary cluster model calculations for heterogeneous solid systems.
  • This method provides a robust and efficient approach for investigating the electronic structure of surfaces and interfaces in quantum chemistry.
  • The parameter-free CAP eliminates the need for complex variational principles, offering a more direct and reliable computational tool.