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Interpreting non-semielliptical complex bands.

Christopher J DeGrendele1,2, Jonathan A Kazakov2,3, Matthew G Reuter2,3

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, United States of America.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 7, 2022
PubMed
Summary
This summary is machine-generated.

Complex band structures (CBS) reveal material properties beyond simple semiellipses. This study deciphers non-semielliptical shapes like loops and spikes, offering deeper physical insights and improved computational methods.

Keywords:
complex band structurecomputational methodsphenomenology

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Theoretical Physics

Background:

  • Complex band structure (CBS) arises from broken translational symmetry, allowing complex wavevectors.
  • Current interpretations often assume semielliptical shapes based on the Su-Schrieffer-Heeger (SSH) model.
  • Observed non-semielliptical CBS shapes (loops, spikes, vertical lines) challenge existing models.

Purpose of the Study:

  • To explore the physical origins and interpretations of diverse complex band structure shapes.
  • To provide deeper physical insight into materials by analyzing CBS phenomenology.
  • To refine computational techniques for calculating complex band structures.

Main Methods:

  • Utilized variations of the Su-Schrieffer-Heeger (SSH) model.
  • Analyzed the phenomenology of complex band structure shapes, including loops, spikes, and vertical lines.
  • Developed a strategy to identify and eliminate unphysical numerical artifacts in CBS calculations.

Main Results:

  • Vertical lines in CBS are identified as unphysical numerical artifacts.
  • Spikes in CBS indicate evanescent states that couple layers without amplitude transfer.
  • Asymmetric loops in CBS are attributed to hybridization effects.

Conclusions:

  • Non-semielliptical CBS shapes provide valuable physical insights into material properties.
  • The study clarifies the physical meaning of different CBS features, distinguishing artifacts from real phenomena.
  • Improved computational methods are proposed for more accurate CBS analysis.