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Universality Encoded in Fano Lineshapes: A Decoupled Phonon Framework for Rapid Raman Parameter Extraction
Dejan M Djokić1, Dimitrije Stepanenko1, Marko Opačić1
1Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11 080 Belgrade, Republic of Serbia.
This study introduces a new method to analyze Fano resonances in Raman spectra, simplifying material characterization. It reveals universal geometric features for efficient and physically transparent analysis of doped semiconductors.
Area of Science:
- Condensed matter physics
- Materials science
- Spectroscopy
Background:
- Fano resonances are common in Raman spectra of metals and semiconductors.
- Extracting microscopic parameters from Fano resonances is computationally intensive and lacks physical insight.
Purpose of the Study:
- To develop a computationally efficient and physically transparent method for analyzing Fano resonances.
- To reveal universal geometric features in Fano lineshapes for simplified parameter extraction.
Main Methods:
- Developed an angular parametrization of renormalized Fano lineshapes.
- Related extremal separations and nodal points to underlying physical variables.
- Interpreted the Fano profile within a many-body framework using dressed single-phonon dynamics.
Main Results:
- Identified a universal geometric feature in Fano lineshapes.
- Established an analytical relationship between spectral features and physical parameters.
- Successfully decoupled electronic contributions from phonon dynamics.
Conclusions:
- The new method significantly reduces computational complexity for material characterization.
- Enables physically transparent analysis of Raman spectra without complex modeling.
- Demonstrated effectiveness using Raman data from doped silicon.
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