Lévy flight of holes in InP semiconductor scintillator

International Journal of High Speed Electronics and Systems

Volumn 21, Issue 1, 2012, Pages

  Luryi, Serge ^a   Subashiev, Arsen ^a  

^a Stony Brook University   (United States)

Author keywords

anomalous diffusion; Photoluminescence; photon recycling; scintillators

Indexed keywords

ANOMALOUS DIFFUSION; CHARGE COLLECTION EFFICIENCY; DEPOSITED ENERGY; DIFFUSION LENGTH; HEAVY-TAILS; HIGH-ENERGY RESOLUTION; HOLE RECOMBINATION; INP; INTERBAND ABSORPTION; LAYERED SEMICONDUCTORS; LONG-WAVE RADIATION; LUMINESCENCE SPECTRUM; NONEXPONENTIAL DECAYS; PHOTO-EXCITATIONS; PHOTON COLLECTION; PHOTON RECYCLING; POWER LAW DECAY; RADIATIVE EFFICIENCY; RANDOM WALK; SEMICONDUCTOR SLABS; SLAB THICKNESS; THICK SAMPLES;

DIODES; PHOSPHORS; PHOTOLUMINESCENCE; RECYCLING; SCINTILLATION COUNTERS;

PHOTONS;

EID: 84871580234     PISSN: 01291564     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129156412500012     Document Type: Conference Paper

References (38)

1. P. Lévy, Calcul des probabilités, Paris, Gautier-Villars (1925); A. Khinchine and P. Lévy, "Sur les lois stables", Comptes Rendus de l'Académie des Sciences 202, pp. 274-276 (1936).
2. R. Metzler and J. Klafter, "The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics, " J. Phys. A: Math. Gen. 37, pp. R161-R208 (2004). (Pubitemid 39063557)
3. A. V. Chechkin, V. Yu. Gonchar, J. Klafter, and R. Metzler, "Fundamentals of Lévy Flight Processes, " Advances in Chemical Physics 133, Part B, Chapter 9, pp. 439-496 (2006).
4. R. Metzler, A. V. Chechkin, V. Yu. Gonchar, and J. Klafter, "Some fundamental aspects of Lévy flights, " Chaos, Solitons & Fractals 34, pp. 129-142 (2007). (Pubitemid 46529252)
5. V. V. Ivanov, Transfer of radiation in spectral lines (Revised version of V. V. Ivanov's Radiative Transfer and Spectra of Celestial Bodies, in Russian, Moscow, 1969), National Bureau of Standards Special Publication 385 (1973).
6. G. B. Rybicki and A. P. Lightman, Radiative Processes in Astrophysics, Wiley, NY (1979).
7. T. Holstein, "Imprisonment of resonance radiation in gases, " Phys. Rev. 72, pp. 1212-1233 (1947)
8. "Imprisonment of resonance radiation in gases. II, " ibid 83, pp. 1159-1168 (1951).
9. E. Pereira, J. M. G. Martinho and M. N. Berberan-Santos, "Photon Trajectories in Incoherent Atomic Radiation Trapping as Lévy Flights, " Phys. Rev. Lett. 93, 120201:1-4 (2004).
10. M. de Jager, F. J. Weissing, P. M. J. Herman, B. A. Nolet, and J. van de Koppel, "Lévy Walks Evolve Through Interaction Between Movement and Environmental Complexity, " Science 332, pp. 1551-1553 (2011); Errata: ibid. 334, p. 1641 (2011).
11. N. E. Humphries, N. Queiroz, J. R. M. Dyer, N. G. Pade, M. K. Musyl, K. M. Schaefer, D. W. Fuller, J. M. Brunnschweiler, T. K. Doyle, J. D. R. Houghton, G. C. Hays, C. S. Jones, L. R. Noble, V. J. Wearmouth, E. J. Southall, and D. W. Sims, "Environmental context explains Lévy and Brownian movement patterns of marine predators, " Nature 465, pp. 1066-1069 (2010).
12. G. M. Viswanathan, S. V. Buldyrev, S. Havlin, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley, "Optimizing the success of random searches, " Nature 401, pp. 911-915 (1999).
13. Benoît Mandelbrot, Fractals and Scaling in Finance, Springer, NY (1997).
14. P. Barthelemy, J. Bertolotti, and D. S. Wiersma, "A Lévy flight for light, " Nature 453, pp. 495-498 (2008).
15. O. Semyonov, A. V. Subashiev, Z. Chen, and S. Luryi, "Photon assisted Lévy flights of minority carriers in n-InP, " Journal of Luminescence 132, pp. 1935-1943 (2012).
16. A. Subashiev, O. Semyonov, Z. Chen, and S. Luryi, "Urbach tail studies by luminescence filtering in moderately doped bulk InP, " Appl. Phys. Lett. 97, 181914 (2010).
17. S. Luryi and A. Subashiev, "Semiconductor scintillator based on photon recycling, " Nuclear Inst. and Methods in Physics Research A 652, pp. 292-294 (2011).
18. S. Luryi and A. Subashiev, "Semiconductor Scintillator for 3-Dimensional Array of Radiation Detectors, " in Future Trends in Microelectronics: From Nanophotonics to Sensors to Energy, ed. by S. Luryi, J. M. Xu and A. Zaslavsky, Wiley, Hoboken, NJ (2010) pp. 331-346.
19. S. Luryi and A. Subashiev, "Layered Semiconductor Scintillator, " US Patent application, No. 13/316, 706 (filed Dec 2011).
20. R. Hofstadter, "Alkali Halide Scintillation Counters, " Phys. Rev. 74, pp. 100-101 (1948).
21. G. F. Knoll, Radiation Detection and Measurement, 3rd ed., Wiley, NY (2000).
22. L. M. Biberman, "On the diffusion theory of resonance radiation, " Zh. Eksp. Teor. Fiz. 17, 416 (1947) [Eng. Transl.: Sov. Phys.-JETP 19, pp. 584-603 (1949].
23. V. A. Ambartsumyan ["On the Scattering of Light by a Diffuse Medium, " Comptes Rendus (Doklady) de l'Académie des Sciences U.R.S.S. 38, pp. 257-261 (1943)] considered a more general problem with the radiation not only being reabsorbed but also elastically scattered. His approach was further developed in the context of astrophysics, as discussed in Ref. [5], Chap. 3, and in the book by S. Chandrasekhar, Radiative transfer, Dover, NY (1960) Chap. 4.
24. V. V. Rossin and V. G. Sidorov, "Reabsorption of recombination radiation in semiconductors with high internal quantum efficiency, " Phys. Stat. Solidi A 95, pp. 15-40 (1986). (Pubitemid 16591437)
25. B. A. Veklenko, "On the Green function for the resonance radiation diffusion equation, " Zh. Eksp. Teor. Fiz. 36, pp. 204-211 (1959) [Eng. Transl.: Sov. Phys.-JETP 9, pp. 138-144 (1959)].
26. O. Semyonov, A. V. Subashiev, Z. Chen, and S. Luryi, "Radiation efficiency of heavily doped bulk n-InP semiconductor, " J. Appl. Phys. 108, 013101, pp. 1-7 (2010).
27. W. van Roosbroek and W. Shockley, "Photon-Radiative Recombination of Electrons and Holes in Germanium", Phys. Rev. 94, 1558 (1954)
28. R. Kubo, "Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems, " J. Phys. Soc. Jpn. 12, pp. 570-586 (1957)
29. P. C. Martin and J. Schwinger, "Theory of Many-Particle Systems (I), " Phys. Rev. 115, pp. 1342-1349 (1959).
30. R. M. Sieg and S. A. Ringel, "Reabsorption, band-gap narrowing, and the reconciliation of photoluminescence spectra with electrical measurements for epitaxial n-InP, " J. Appl. Phys. 80, pp. 448-458 (1996). (Pubitemid 126579016)
31. V. V. Uchaikin and V. M. Zolotarev, Chance and Stability: Stable Distributions and Their Applications, VSP, Utrecht (1999).
32. M. Necati Özişik, Boundary Value Problems of Heat Conduction, Dover, NY (1989) Ch. 5.
33. A. Kastalsky, S. Luryi, and B. Spivak, "Semiconductor high-energy radiation scintillation detector, " Nucl. Instr. and Meth. in Phys. Research A 565, pp. 650-656 (2006). (Pubitemid 44302196)
34. J. H. Abeles and S. Luryi, "Slab scintillator with integrated two-sided photoreceiver, " US Patent 8, 253, 109 (issued Aug 2012).
35. S. Luryi, A. Kastalsky, M. Gouzman, N. Lifshitz, O. Semyonov, M. Stanacevic, A. V. Subashiev, V. Kuzminsky, W. Cheng, V. Smagin, Z. Chen, J. H. Abeles, W. K. Chan, and Z. A. Shellenbarger, "Epitaxial InGaAsP/InP photodiode for registration of InP scintillation, " Nucl. Instr. and Meth. in Phys. Research A 622, pp. 113-119 (2010).
36. S. Lourdudoss and O. Kjebon, "Hydride Vapor Phase Epitaxy Revisited, " IEEE J. Selected Topics Quant. Electronics 3, pp. 749-767 (1997). (Pubitemid 127580581)
37. Serge Luryi, "Impregnated Semiconductor Scintillator, " International Journal of High Speed Electronics and Systems 18, pp. 973-982 (2008).
38. A. N. Vasil'ev, "From luminescence non-linearity to scintillation non-proportionality, " IEEE Trans. Nucl. Sci. 55, pp. 1054-1061 (2008).