Electric fields on quasiperiodic potentials.
This theoretical condensed-matter study examines how an electric field affects the electronic spectrum and localization in quasiperiodic chains modeled with Harper and Fibonacci potentials. It reports localized ladder spectra under strong fields and smoothing with linearly decreasing gaps under weak fields. When field strength is comparable to the quasiperiodic potential, it reports delocalization driven by local resonances.
Key points
- The work studies electric-field effects on quasiperiodic chains using Harper and Fibonacci potentials.
- In the strong-field limit, a ladder spectrum with localized states is reported.
- The ladder structure is interpreted using perturbation theory and local isomorphism classes of the potential.
- In the weak-field limit, the singular spectrum is reported to smooth and gaps decrease linearly with field.
- Variational methods, perturbation theory, and approximants are cited to explain weak-field behavior.
- When field and potential magnitudes are similar, delocalization due to local resonances is reported.
Referenced studies & papers
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AI-generated summaries may be incomplete or incorrect. This content is for informational purposes only and is not medical advice.
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