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Transient photodarkening induced by a nanosecond pulsed laser in amorphous and liquid As2Se3: fractal characteristics in relaxation dynamics

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Abstract

Both amorphous and liquid As2Se3 exhibit fast decrease of optical transmittance under a nanosecond pulsed laser excitation. This light-induced effect is called fast photodarkening (PD). After the cessation of excitation (one shot), the PD recovers within 0.1 s, but remains in a wide time domain from 10–7 to 10–2 s. Dynamic responses of the PD-recovery are studied through the autocorrelation function (ACF) in time domain and the power spectrum (PS) in frequency domain. The first zero-crossing time in the ACF, τ0, a measure of decay time in the relaxation process, is scaled with the time interval of the original measured data, tm, with the relationship, τ0 ∝ tmγ (γ ~ 1.0) in both the amorphous and liquid states. The PS is described by 1/fα (α = 0.8–0.9). Both the ACF and PS results indicate that the structural relaxation of the As–Se network occurs with similar decay processes in “any” time region, which can be inferred to have fractal nature in time domain.

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References

  1. K. Shimakawa, A. Kolobov, S.R. Elliott, Photoinduced effects and metastability in amorphous semiconductors and insulators. Adv. Phys. 44(6), 475 (1995). https://doi.org/10.1080/00018739500101576

    Article  CAS  Google Scholar 

  2. K. Tanaka, K. Shimakawa, Amorphous Chalcogenide Semiconductors and Related Materials, 2nd edn. (Springer, New York, 2021), pp.67–97

    Book  Google Scholar 

  3. H. Fritzsche, Fundamental Physics of Amorphous Semiconductors (Springer-Verlag, Berlin, Heidelberg, New York, 1981), pp.1–13

    Book  Google Scholar 

  4. Y. Sakaguchi, K. Tamura, Photodarkening in the nano- and microsecond domain: measurements of transient photoinduced absorption spectra of amorphous and liquid As2Se3. J. Phys. Condens. Matter 18, L331-337 (2006)

    Article  CAS  Google Scholar 

  5. Y. Sakaguchi, K. Tamura, Accumulation and decay processes in photodarkening of amorphous chalcogenide. J. Phys. Chem. Solids 68(5–6), 911–915 (2007). https://doi.org/10.1016/j.jpcs.2007.02.026

    Article  CAS  Google Scholar 

  6. Y. Sakaguchi, K. Tamura, Photo-induced effects on amorphous and liquid selenium by pulsed laser illumination: Photo-induced structural changes in a network of selenium chains. Zeitschrift fur Phys. Chemie 235(1–2), 189–212 (2021). https://doi.org/10.1515/zpch-2020-1650

    Article  CAS  Google Scholar 

  7. X. Zhang, D.A. Drabold, Direct molecular dynamic simulation of light-induced structural change in amorphous selenium. Phys. Rev. Lett. (1999). https://doi.org/10.1103/PhysRevLett.83.5042

    Article  Google Scholar 

  8. J. Li, D.A. Drabold, Direct calculation of light-induced structural change and diffusive motion in glassy As2Se3. Phys. Rev. Lett. (2000). https://doi.org/10.1103/PhysRevLett.85.2785

    Article  Google Scholar 

  9. P. Dutta, P.M. Horn, Low-frequency fluctuations in solids: 1/ f noise. Rev. Mod. Phys. 53, 497 (1981)

    Article  CAS  Google Scholar 

  10. B.B. Mandelbrot, The Fractal Geometry of Nature, 1st edn. (W. H. Freeman and Company, San Francisco, 1982)

    Google Scholar 

  11. S. Kogan, Electronic Noise and Fluctuations in Solids (Cambridge University Press, Cambridge, 2008), p.367

    Google Scholar 

  12. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, Ney York, 1962), p.318

    Google Scholar 

  13. A.E. Zonst, Understanding the FFT Applications: A Tutorial for Students & Working Engineers, 2nd edn. (Citrus Press, Titusville, 2004), p.182

    Google Scholar 

  14. M. Doi, S.F. Edward, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986)

    Google Scholar 

  15. J.C. Dyre, Langevin models for shear-stress fluctuations in flows of viscoelastic liquids. Phys. Rev. E 48, 400–407 (1993). https://doi.org/10.1103/PhysRevE.48.400

    Article  CAS  Google Scholar 

  16. A.F. Belo, K. Sasa, J.M. Marques, K. Shimakawa, Tide level in time and frequency domains at Dili port: characteristic feature of a Lorentz oscillator. Phys. Complex Syst. 2(1), 41–48 (2021)

    Article  Google Scholar 

  17. A.F. Belo, K. Shimakawa, Statistical and spectral analysis of wind power: Fractional oscillation dynamics. Phys. Complex Syst. 2(4), 141–148 (2021)

    Article  Google Scholar 

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Acknowledgements

We wish to thank the JICA-CADEFEST 2 project for the technical and financial supports and Emeritus Professor K. Tamura of Kyoto University for the permission of reuse of the Figure in Ref. [3].

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Data collection was performed YS and analysis was performed by AB and KS. The first draft of the manuscript was written by AB and all authors commented on the previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Abelito F. Belo.

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Belo, A.F., Shimakawa, K. & Sakaguchi, Y. Transient photodarkening induced by a nanosecond pulsed laser in amorphous and liquid As2Se3: fractal characteristics in relaxation dynamics. J Mater Sci: Mater Electron 33, 22541–22548 (2022). https://doi.org/10.1007/s10854-022-09032-9

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