Abstract
A method is presented to determine the field dependence of the intervalley scattering rate for hot electrons in germanium, based on an analysis of electron straggle in a detector crystal fitted with segmented electrodes. Measurements in high-purity and in lightly doped n- and p-type crystals at millikelvin temperatures demonstrate the dominant role of impurity scattering at low field (\(<\sim \)a few V/cm), whereas phonon scattering takes precedence at higher field intensities. An analysis of the experimental data by reference to past investigations of the acoustoelectric effect in germanium strongly suggests that the impurities involved are the dopant species in the neutral state.
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Notes
D\(^{-}\) and A\(^{+}\) are the analogues for donors and acceptors of negatively charged (H\(^{-})\) atomic hydrogen, with a binding energy for the additional electron (for D\(^{-})\) or hole (for A\(^{+})\) of a fraction of a meV only [24]. The rôle of the A\(^{+}\) and D\(^{-}\) centers in low temperature recombination in Ge and Si under interband carrier generation was demonstrated long ago by lifetime measurements for electrons and holes under cyclotron resonance conditions [25].
References
W. Sasaki, M. Shibuya, K. Mizuguchi, J. Phys. Soc. Jpn. 13, 456 (1958)
E.M. Conwell, High field transport in semiconductors, in Solid state physics suppl. 9, ed. by F. Seitz, D. Turnbull (Academic Press, New York, 1967)
T. Shutt et al., Phys. Rev. Lett. 69, 3531 (1992)
A. Broniatowski et al., Phys. Lett. B 681, 305 (2009)
S. Marnieros et al., Proc. 13th Int. Workshop on Low Temperature Detectors, Stanford, USA, 2009. AIP Conf. Proc. 1185, 635 (2009)
E. Olivieri et al., J. Low Temp. Phys. 167, 1137 (2012)
G. Weinreich, T.M. Sanders, H.G. White, Phys. Rev. 114, 33 (1959)
E. Olivieri et al., Proc. 13th Int. Workshop on Low Temperature Detectors, Stanford, USA, 2009. AIP Conf. Proc. 1185, 310 (2009)
J. Domange et al., Proc. 13th Int. Workshop on Low Temperature Detectors, Stanford, USA, 2009. AIP Conf. Proc. 1185, 314 (2009)
A. Broniatowski et al., in this Special Issue LTD15 in J. Low Temp. Phys.
M.I. Nathan, Phys. Rev. 130, 2201 (1963)
C. Herring, E. Vogt, Phys. Rev. 101, 944 (1956)
M.C. Piro et al., in this Special Issue LTD15 in J. Low Temp. Phys.
N.A. Zakhlenyuk, V.V. Mitin, Sov. Phys. Semicond. 21, 384 (1986)
K. Seeger, Semiconductor physics, 6th edn. (Springer, Berlin, 1997)
R.A. Laff, H.Y. Fan, Phys. Rev. 112, 317 (1958)
S. Ramo, Proc. IRE 27, 584 (1939)
L. Reggiani et al., Phys. Rev. B 16, 2781 (1977)
V. Aubry-Fortuna, P. Dollfus, private communication (2010)
E.E. Haller, W.L. Hansen, F.S. Goulding, Adv. Phys. 30, 93 (1981)
C. Clayes, E. Simoen (eds) Germanium-based technologies: from materials to devices, (Elzevier, Amsterdam, 2007)
P. Clauws, private communication (2012)
A. Blondeel, P. Clauws, J. Appl. Phys. 86, 940 (1999)
E.M. Gershenzon et al., Sov. Phys. Usp. 23, 684 (1980)
E.M. Gershenzon, Y.P. Ladyzhinskii, A.P. Melnikov, JETP Lett. 14, 256 (1971)
E.M. Gershenzon, Y.P. Ladyzhinskii, A.P. Melnikov, Sov. Phys. Semicond. 7, 746 (1973)
V.N. Abakumov, V.I. Perel, I.N. Yassievich, Nonradiative recombination in semiconductors, (North-Holland, Oxford, 1991) and references therein
J. Domange et al., J. Low Temp. Phys. 167, 1131 (2012)
V. Aubry-Fortuna, P. Dollfus, J. Appl. Phys. 108, 123706 (2010)
Acknowledgments
I am indebted to the members of the cryogenic detector group at CSNSM and to J. Domange, E. Olivieri and M.C. Piro especially, for their contribution to this work.
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Broniatowski, A. Intervalley Scattering of Hot Electrons in Germanium at Millikelvin Temperatures. J Low Temp Phys 176, 860–869 (2014). https://doi.org/10.1007/s10909-014-1091-y
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DOI: https://doi.org/10.1007/s10909-014-1091-y