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Polarons from First Principles, without Supercells.

Weng Hong Sio1,2, Carla Verdi2, Samuel Poncé2

  • 1Department of Chemistry, Physical and Theoretical Chemistry, University of Oxford, South Parks Road, Oxford OX1 3QZ, United Kingdom.

Physical Review Letters
|July 20, 2019
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Summary
This summary is machine-generated.

We present a new computational method for studying polarons in insulators and semiconductors. This approach efficiently calculates polaron properties without large supercells, offering a seamless description of both large and small polarons.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational physics

Background:

  • Polarons, quasiparticles formed by electron-phonon interactions, are crucial in electronic properties of materials.
  • Standard methods for polaron studies often require computationally expensive large supercells.
  • A need exists for efficient and accurate first-principles methods to study polarons.

Purpose of the Study:

  • To develop a novel computational formalism for first-principles polaron studies.
  • To provide a method that overcomes limitations of traditional supercell approaches.
  • To enable seamless description and calculation of both large and small polarons.

Main Methods:

  • Development of a formalism based on solving a secular equation.
  • Inclusion of electron-phonon interactions and phonon properties from density-functional perturbation theory.
  • Analogy to the Bethe-Salpeter equation used for excitons.

Main Results:

  • A new computational method for studying polarons in insulators and semiconductors.
  • Demonstration of seamless description for both large and small polarons.
  • Successful calculation of polaron wave functions, formation energies, and spectral decomposition in LiF and Li$_{2}$O$_{2}$.

Conclusions:

  • The developed method offers an efficient and accurate alternative to standard supercell calculations for polarons.
  • The formalism provides a unified approach to study different polaron regimes.
  • The approach is validated by its application to realistic material systems.