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Second-order dual fermion for multi-orbital systems.

Erik G C P van Loon1

  • 1Institute for Theoretical Physics and Bremen Center For Computational Materials Science, University of Bremen, Bremen, Germany.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|January 8, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new dual fermion method to capture complex electron interactions in multi-orbital systems. The approach enhances dynamical mean-field theory for studying materials like strontium vanadate.

Keywords:
dual fermionspatial correlationsstrongly correlated electrons

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Area of Science:

  • Condensed matter physics
  • Quantum many-body theory

Background:

  • Dynamical mean-field theory (DMFT) simplifies electron correlations by assuming locality.
  • Limitations of DMFT arise in systems with significant non-local electronic interactions.
  • The dual fermion (DF) approach offers a systematic extension to DMFT.

Purpose of the Study:

  • To implement and apply second-order dual fermion theory for general multi-orbital systems.
  • To investigate spatial electronic correlations in strontium vanadate (SrVO3).
  • To benchmark the new method against exactly solvable models.

Main Methods:

  • Development of a second-order dual fermion formalism for multi-orbital Hamiltonians.
  • Application of the method to the strontium vanadate material system.
  • Validation using exactly solvable models for benchmarking.

Main Results:

  • Successful implementation of second-order dual fermion for multi-orbital systems.
  • Investigation of spatial correlations in SrVO3, revealing insights beyond local DMFT.
  • Demonstrated accuracy and reliability through benchmarking.

Conclusions:

  • The developed dual fermion approach effectively incorporates non-local electronic correlations.
  • This method provides a powerful tool for studying complex materials beyond DMFT.
  • The findings open new avenues for theoretical investigations in condensed matter physics.