Study of Fano Resonance in the Core-Level Absorption Spectrum in Terms of Complex Spectral Analysis
Autor: | Tomio Petrosky, Taku Fukuta, Satoshi Tanaka |
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Rok vydání: | 2018 |
Předmět: |
Physics
Absorption spectroscopy Oscillator strength Hilbert space Fano resonance 01 natural sciences Resonance (particle physics) Molecular physics 010305 fluids & plasmas symbols.namesake 0103 physical sciences symbols Boundary value problem 010306 general physics Hamiltonian (quantum mechanics) Eigenvalues and eigenvectors |
Zdroj: | Springer Series in Optical Sciences ISBN: 9783319997308 |
DOI: | 10.1007/978-3-319-99731-5_11 |
Popis: | We study theoretically the core absorption spectrum of an impurity embedded in a tight-binding chain in terms of complex spectral analysis. The absorption spectral profile associated with the resonance states in principle exhibits an asymmetric Fano-type structure, even without apparent multiple interference transition paths. The asymmetric Fano absorption profile is attributed to the complex-valued oscillator strength of the transition to the resonance state belonging to the extended Hilbert space. The boundary condition on the continuum causes a large energy dependence of the self-energy, so that it enhances the nonlinearity of the eigenvalue problem of the effective Hamiltonian, yielding several non-analytic resonance states. The optical transitions to these resonance states constitute the overall absorption spectrum structure. |
Databáze: | OpenAIRE |
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