Statistics of resonances and of delay times in quasiperiodic Schrodinger equations
2000 | journal article. A publication with affiliation to the University of Göttingen.
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Statistics of resonances and of delay times in quasiperiodic Schrodinger equations
Steinbach, F.; Ossipov, A.; Kottos, T. & Geisel, T. (2000)
Physical Review Letters, 85(21) pp. 4426-4429. DOI: https://doi.org/10.1103/PhysRevLett.85.4426
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Details
- Authors
- Steinbach, F.; Ossipov, A.; Kottos, Tsampikos; Geisel, Theo
- Abstract
- We study the distributions of the resonance widths P(Gamma) and of delay times P(tau) in one-dimensional quasiperiodic tight-binding systems at critical conditions with one open channel. Both quantities are found to decay algebraically as Gamma (-alpha) and tau (-gamma) on small and large scales, respectively. The exponents alpha and gamma are related to the fractal dimension D-0(E) Of the spectrum of the closed system as alpha = 1 + D-0(E) and gamma = 2 - D-0(E). Our results are verified for the Harper model at the metal-insulator transition and for Fibonacci lattices.
- Issue Date
- 2000
- Status
- published
- Publisher
- American Physical Soc
- Journal
- Physical Review Letters
- ISSN
- 0031-9007
