Abstract
Tiefe Störstellen in Halbleitern werden in diesem allgemeinen Überblick behandelt. Die Theorie eines Wasserstoff-Modells mit effektiven Massen versagt völlig als Beschreibung der stark lokalisierten Löcher oder Elektronen an tiefen Zentren. Wannier-Funktionen oder die kürzlich beschriebene erfolgreiche LCAO-MO-Methode von Watkins und Messmer sind angemessener. Optische Absorptionsmessungen werden bei der Zusammenfassung der experimentellen Daten besonders behandelt; sie zeigen, daß eine Deltafunktion das bindence Potential des Zentrums sehr gut annähert. Die noch weitgehend unverstandenen Prozesse der strahlungslosen Rekombination hängen eng zusammen mit dem Verhalten tiefer Zentren.
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References
P. T. Landsberg, phys. stat. sol. 41, 457 (1970); a recent general review about nonradiative transition mechanisms in semiconductors.
V. L. Bonch-Bruevich and E. G. Landsberg, phys. stat sol. 29, 9 (1968).
P. T. Landsberg, Festkörperprobleme VI, O. Madelung, editor, Vieweg Braunschweig 1967.
W. Schultz, Festkörperprobleme V, Vieweg, Braunschweig 1966.
A survey of radiative and non-radiative mechanisms in III–V semiconductors, can—for example—be found in: P. J. Dean, Trans. Met. Soc. AIME 242, 384 (1968).
P. J. Dean, Invited paper, 35. Meeting of the German Physical Society, Hannover 1970.
The most recent detailed results of luminescence research can be found in the papers presented at the 1969 Luminescence Conference at Newark, Delaware (USA). Proceedings are published in J. Luminesc. 1, 2 (1970).
E. Spenke in “Semiconductor Silicon”, R. R. Haberecht and E. L. Kern, editors, Electrochemical Society, New York 1969.
W. Kohn in “Solid State Physics” F. Seitz and D. Tumbull., editors Academic Press, New York 1957, Vol. 5.
One experimental determination of the, effective Bohr radius of a donor-electron in InP was made by U. Heim, Solid State Comm. 7, 445 (1969), in good agreement with effective-mass theory.
J. C. Phillips, Phys. Rev. Lett. 24, 1114 (1970).
J. C. Phillips, Phys. Rev. B1, 1540, 1545 (1970); B2, 4044 (1970).
For one definition of “shallow” versus “deep” impurities, see, M. A. Lampert, Proc. IRE 50, 1785 (1962).
D. B. Fitchen, “Physics of Color Centers”, Academic Press, New York, 1968.
J. W. Allen, Proc. Phys. Soc. (London) J. Phys. C 1, 1136 (1968).
G. D. Watkins in “Radiation Effects in Semiconductors.”, F. Vook, editor, Plenum Press, New York 1968, p. 67.
For the Jahn-Teller effect in semiconductors, see T. N. Morgan, Phys. Rev. Lett. 24, 887 (1970) and Refs. 37–39.
J. C. Phillips, Phys. Rev. Lett. 22, 285 (1969).
W. Czaja, following talk at this conference; see this volume of «Festkörperprobleme».
The term “flaw” for a multivalent impurity was suggested by W. Shockley and J. T. Last, Phys. Rev. 107, 392 (1957).
W. Shockley, Proc. IRE 46, 973 (1958).
J. S. Blakemore, “Semiconductor Statistics,” Pergamon Press Oxford 1962.
G. Güttler and H. J. Queisser, Energy Conversion 10, 51 (1970), also J. Appl. Phys. 40, 4994 (1969). The first paper gives a detailed discussion of deep impurities for solar cell efficiency; it is shown that previous proposals to increase efficiency by deep impurities are invalid.
W. van Roosbroeck and W. Shockley, Phys. Rev. 94, 1558 (1954).
W. Michaelis and M. H. Pilkuhn, phys. stat. sol. 36, 311 (1969).
M. H. Pilkuhn, Proc. IX. Internat. Conf. Phys. Semicond. Moscow 1968 Publ. Nauka, Leningrad 1968, p. 523.
W. Shockley and H. J. Quisser, J. Appl. Phys. 32, 510 (1961).
For the extensive field of semiconductor statistics, see the textbook of Blakemore, Ref. 22.
On the question of the improbability of simultaneous phonon emissions during nonradia-tive transitions, see Refs. (1–4).
A very important proposed mechanism for nonradiative recombinations in the Auger effect, treated in detail by P. T. Landsberg and coworkers, reviewed in Refs. (1–3).
For an indroduction to Wannier functions, see for example C. Kittel, Quantum Theory of Solids, Wiley, New York 1963, esp. p. 195.
J. Callaway and A. J. Hughes, Phys. Rev. 156, 860 (1967).
R. A. Tawil, Bull. Am. Phys. Soc. 15, 258 (1970).
H. Teichler and A. Seeger, private communication.
A discussion on Wannier functions and their optimal adaptation to symmetry in the diamond structure is given by H. Teichler, phys. stat. sol. 43, 307 (1971).
K. H. Bennemann, Phys. Rev. 130, 1757 (1963), Phys. Rev. 137, A 1497 (1965).
R. P. Messmer and G. D. Watkins, Phys. Rev. Lett. 25, 656 (1970).
G. D. Watkins and R. P. Messmer, Proc. X. Int. Conf. Semicond. Physics Cambridge, Mass. 1970; S. P. Keller et al., editors, p. 623.
W. Gebhardt, «Der Jahn-Teller Effekt», review paper in Festkörperprobleme IX, O. Madelung, editor, Vieweg, Braunschweig 1969, p. 99.
D. Geist, «Paramagnetische Elektronenresonanz in Halbleitern”,. Festkörperprobleme II, F. Sauter, editor, Vieweg 1963.
A. Seeger, «Strahlenschädigung von Metallen und Halbleitern», Festkörperprobleme IV, F. Sauter, editor, Vieweg 1965.
«Radiation Damage in Semiconductors», Dussod, Paris 1965.
R. Bäuerlein, «Strahlenschäden in Halbleitern und Halbleiterbauelementen», Festkörper-probleme VIII, O. Madelung, editor, Vieweg/Pergamon 1968.
See, for example G. I. Roberts and C. R. Crowell, J. Appl. Phys. 41, 1767 (1970), describing “Capacitance Spectroscopy”.
Recently a technique was described by Y. Zohta, Appl. Phys. Lett. 17, 284 (1970), which utilizes characteristic differences between the standard capacitance method and the Copeland-technique for the analysis of deep impurities.
J. A. Copeland, IEEE Trans. Electron Devices 18, 50 (1971).
One example for the very complicated solid-state reactions in GaAs is described in: C. S. Fuller and K. B. Wolfstim, J. Appl. Phys. 34, 2287 (1963), and Appl. Phys. Lett 2, 45 (1963).
J. Rachmann, contributed paper at this meeting, demonstrating scattering of holes in GaAs by dipoles of impurities, Verhandl. Deutsche Physikalische Gesellschaft 9/1971, paper Hl 10.
R. C. Jaklevic, and J. Lambe, Phys. Rev. Lett. 17, 1139 (1966) detected organic molecules inside a tunneling barrier.
Local phonon modes of impurities can be detected by tunneling, e. g. see E. L. Wolf, Phys. Rev. Lett. 20, 204 (1968).
C. B. Duke et al., Proc. Tenth Int. Conf. Phys. Semicond, Cambridge, Mass., 1970, p. 856 report on impurity-assisted tunneling in GaAs junctions, also see N. Holonyak, Jr. et al., Phys. Rev. Lett 24, 589 (1970).
For more information on tunneling phenomena, C. B. Duke, Tunneling in Solids, Academic Press, New York 1969.
W. Shockley and W. T. Read, Jr., Phys. Rev. 87, 835 (1952).
For complete details on definitions and properties of the various lifetimes in a semiconductor, see Refs. (1–4) and (22).
R. G. Pratt and B. K. Ridley, Proc. Phys. Soc. 81, 996 (1963).
References concerning the problems of semi-insulating GaAs are found in O. Madelung, Physics of III–V-Compounds, Wiley, New York 1964.
C. H. Henry, K. Nassau, and J. W. Shiever, Phys. Rev. Lett. 24, 820 (1970).
W. G. Spitzer, invited talk at this conference, see this volume.
G. Lucovsky, Solid State Comm. 3, 299 (1965).
D. L. Dexter, Solid State Physics, Vol. 6, F. Seitz and D. Turnbull, editors, Academic Press, New York 1958, p. 353.
R. A. Chapman and W. G. Hutchinson, Phys. Rev. Lett. 18, 443 (1967).
J. S. Blakemore and C. E. Sarver, Phys. Rev. 173, 767 (1968), also showed the success of the δ-function model.
C. S. Fuller, K. B. Wolfstirn and H. W. Allison, J. Appl. Phys. 38, 2873 (1967).
M. Blätte, dissertation Frankfurt 1970; M. Kautzsch and F. Willmann diploma theses, Frankfurt. Manuscripts in preparation.
The apparatus is described in: M. Blätte, Optics Comm. 1, 460 (1970).
M. Blätte and F. Willmann, to be publ.
M. Blätte, W. Schairer, and F. Willmann, Solid State Comm 8, 1265 (1970).
P. Hiesinger, Hall-data on Au-doped GaAs, to be publ.
H. B. Bebb and R. A. Chapman, J. Phys. Chem. Sol. 28, 2087 (1967); H. B. Bebb, Phys. Rev. 185, 1116 (1969).
W. Schairer, dissertation Frankfurt/M. 1970 (unpublished).
W. Schairer and E. Grobe, Solid State Comm. 8, 2017 (1970).
H. J. Queisser and C. S. Fuller, J. Appl. Phys. 37, 4895 (1966).
N. Stath, unpubl. data in agreement with earlier data by T. C. Lee and W. W. Anderson, Solid State Comm. 2, 265 (1964).
J. J. Hopfield, J. Phys. Chem. Sol. 10, 110, (1959).
A review concerning the effects of optical phonons in semiconductors is given by H. Y. Fan Moscow Conference (see Ref. (26)), p. 135.
At this conference, H. G. Grimmeiss and co-workers presented a refined technique for measuring cross-sections with the photo-effect; new results for Si: Au were also reported. see: Verhandl. DPG 9/1971, p. 709, also to be publ. in Sol. State Electronics.
For a very recent discussion of a vibronic center in GaAs and its configurational coordinates, see E. W. Williams and A. M. White, Solid State Comm. 9, 279 (1971).
R. A. Messenger and J. S. Blakemore, recently discussed the effective-field correction for their data on Si:In, Solid State Comm. 9, 319 (1971). *** DIRECT SUPPORT *** A00AX011 00004
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Queisser, HJ. (1971). Deep impurities. In: Madelung, O. (eds) Festkörperprobleme 11. Advances in Solid State Physics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107682
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