研究目的
To theoretically study the core absorption spectrum of an impurity embedded in a tight-binding chain using complex spectral analysis, focusing on the asymmetric Fano-type structure of the absorption spectral profile associated with resonance states.
研究成果
The study reveals that the absorption spectral structure due to the resonance state takes an asymmetric Fano profile, reflecting the complex-valued oscillator strength of the transition to the resonance state belonging to the extended Hilbert space. The introduction of an infinite potential barrier at the end of the chain causes a strong energy dependence of the self-energy, enhancing the nonlinearity of the complex eigenvalue problem and yielding non-analytic resonance states with strong asymmetric Fano-type absorption structures.
研究不足
The study is theoretical and does not involve experimental validation. The model simplifies the physical system to a one-dimensional tight-binding chain, which may not capture all complexities of real-world systems.
1：Experimental Design and Method Selection:
The study employs complex spectral analysis to investigate the core absorption spectrum of an impurity in a tight-binding chain. Theoretical models and algorithms are used to analyze the absorption spectral profile.
2：Sample Selection and Data Sources:
The model involves a two-level impurity atom embedded in a one-dimensional semiconductor superlattice, described by a tight-binding model.
3：List of Experimental Equipment and Materials:
The study is theoretical and does not involve physical equipment or materials.
4：Experimental Procedures and Operational Workflow:
The methodology includes setting up the Hamiltonian for the system, solving the complex eigenvalue problem of the effective Hamiltonian, and analyzing the absorption spectrum.
5：Data Analysis Methods:
The analysis involves decomposing the absorption spectrum into contributions from resonance states and continuous states, and evaluating the asymmetry of the absorption profile.
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