Abstract
Electrical transport through materials is a large and complex field, and in this chapter we cover only a few aspects that are relevant to practical applications. We start with a review of the semi-classical approach that leads to the concepts of drift velocity, mobility and conductivity, from which Matthiessenʼs Rule is derived. A more general approach based on the Boltzmann transport equation is also discussed. We review the conductivity of metals and include a useful collection of experimental data. The conductivity of nonuniform materials such as alloys, polycrystalline materials, composites and thin films is discussed in the context of Nordheimʼs rule for alloys, effective medium theories for inhomogeneous materials, and theories of scattering for thin films. We also discuss some interesting aspects of conduction in the presence of a magnetic field (the Hall effect). We present a simplified analysis of charge transport in semiconductors in a high electric field, including a modern avalanche theory (the theory of “lucky” drift). The properties of low-dimensional systems are briefly reviewed, including the quantum Hall effect.
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Abbreviations
- 2DEG:
-
two-dimensional electron gas
- DOS:
-
density of states
- EM:
-
electromagnetic
- EMA:
-
effective media approximation
- LD:
-
laser diodes
- LD:
-
lucky drift
- PC:
-
photoconductive
- TCR:
-
temperature coefficient of resistance
References
P. L. Rossiter: The Electrical Resisitivity of Metals and Alloys (Cambridge Univ. Press, Cambridge 1987)
J. S. Dugdale: The Electrical Properties of Metals and Alloys (Arnold, London 1977)
B. R. Nag: Theory of Electrical Transport in Semicondnuctors (Pergamon, Oxford 1972)
F. J. Blatt: Physics of Electronic Conduction in Solids (McGraw-Hill, New York 1968) Chap. 5, 6
S. O. Kasap: Principles of Electronic Materials and Devices, 3 edn. (McGraw-Hill, New York 2005)
G. T. Dyos, T. Farrell (Eds.): Electrical Resistivity Handbook (Peregrinus, London 1992)
D. G. Fink, D. Christiansen (Eds.): Electronics Engineersʼ Handbook, 2 edn. (McGraw-Hill, New York 1982) Section 6
L. Nordheim: Ann. Phys. 9, 664 (1931)
J. K. Stanley: Electrical and Magnetic Properties of Metals (American Society for Metals, Metals Park 1963)
M. Hansen, K. Anderko: Constitution of Binary Alloys, 2 edn. (McGraw-Hill, New York 1985)
H. E. Ruda: J. Appl. Phys. 59, 1220 (1986)
M. Lundstrom: Fundamentals of Carrier Transport (Cambridge Univ. Press, Cambridge 2000)
R. H. Bube: Electronic Properties of Crystalline Solids (Academic, New York 1974) Chap. 7
S. Riedel, J. Röber, T. Geßner: Microelectron. Eng., 33, 165 (1997)
A. F. Mayadas, M. Shatzkes: Phys. Rev. B, 1, 1382 (1970)
J.-W. Lim, K. Mimura, M. Isshiki: Appl. Surf. Sci. 217, 95 (2003)
C. R. Tellier, C. R. Pichard, A. J. Tosser: J. Phys. F, 9, 2377 (1979) (and references therein)
K. Fuchs: Proc. Camb. Philos. Soc., 34, 100 (1938)
E. H. Sondheimer: Adv. Phys., 1, 1 (1952)
H.-D. Liu, Y.-P. Zhao, G. Ramanath, S. P. Murarka, G.-C. Wang: Thin Solid Films 384, 151 (2001)
R. Suri, A. P. Thakoor, K. L. Chopra: J. Appl. Phys., 46, 2574 (1975)
R. H. Cornely, T. A. Ali: J. Appl. Phys., 49, 4094 (1978)
J. S. Ahn, K. H. Kim, T. W. Noh, D. H. Riu, K. H. Boo, H. E. Kim: Phys. Rev. B, 52, 15244 (1995)
R. J. Gehr, G. L. Fisher, R. W. Boyd: J. Opt. Soc. Am. B, 14, 2310 (1997)
D. E. Aspnes, J. B. Theeten, F. Hottier: Phys. Rev. B, 20, 3292 (1979)
Z. Yin, F. W. Smith: Phys. Rev. B, 42, 3666 (1990)
M. F. MacMillan, R. P. Devaty, W. J. Choyke, D. R. Goldstein, J. E. Spanier, A. D. Kurtz: J. Appl. Phys., 80, 2412 (1996)
C. Ganter, W. Schirmacher: Phys. Status Solidi B, 218, 71 (2000)
R. Stognienko, Th. Henning, V. Ossenkopf.: Astron. Astrophys. 296, 797 (1995)
A. G. Rojo, H. E. Roman: Phys. Rev. B, 37, 3696 (1988)
J. A. Reynolds, J. M. Hough: Proc. Phys. Soc., 70, 769 (1957)
R. Clausius: Die Mechanische Wärmetheorie, Vol. 2 (Wieveg, Braunschweig 1879)
L. Lorenz: Ann. Phys. Lpz., 11, 70 (1880)
O. F. Mosotti: Mem. Math. Fisica Modena II, 24, 49 (1850)
V. I. Odelevskii: Zh. Tekh. Fiz., 6, 667 (1950)
Lord Rayleigh: Philos. Mag., 34, 481 (1892)
K. W. Wagner: Arch. Electrochem., 2, 371 (1914)
D. A. G. Bruggeman: Ann. Phys. Lpz. 24, 636 (1935)
C. J. F. Bottcher: Rec. Trav. Chim. Pays-Bas 64, 47 (1945)
H. Fricke: Phys. Rev. 24, 575 (1924)
D. Polder, J. M. Van Santen: Physica 12, 257 (1946)
W. Niesel: Ann. Phys. Lpz. 10, 336 (1952)
J. A. Stratton: Electromagnetic Theory (McGraw-Hill, New York 1941)
O. Wiener: Abh. Sachs. Ges. Akad. Wiss. Math. Phys. 32, 509 (1912)
L. Silberstein: Ann. Phys. Lpz. 56, 661 (1895)
O. Wiener: Abh. Sachs. Ges. Akad. Wiss. Math. Phys. 32, 509 (1912)
R. W. Sillars: J. Inst. Elect. Eng. 80, 378 (1937)
F. Ollendorf: Arch. Electrochem. 25, 436 (1931)
J. C. M. Maxwell-Garnett: Phil. Trans. R. Soc. Lond. 203, ,385 (1904)
H. Looyenga: Physica 31, 401 (1965)
J. Monecke: J. Phys. Condens. Mat. 6, 907 (1994)
C. F. Bohren, D. R. Huffman: Absorption and Scattering of Light by Small Particles (Wiley, New York 1983)
P. Y. Yu, M. Cardona: Fundamentals of Semiconductors (Springer, Berlin, Heidelberg 1996)
M. Akiyama, M. Hanada, H. Takao, K. Sawada, M. Ishida: Jpn. J. Appl. Phys 41, 2552 (2002)
K. Tsuji, Y. Takasaki, T. Hirai, K. Taketoshi: J. Non-Cryst. Solids 14, 94 (1989)
G. Juska, K. Arlauskas: Phys. Status Solidi 77, 387 (1983)
R. A. Logan, H. G. White: J. Appl. Phys. 36, 3945 (1965)
R. Ghin, J. P. R. David, S. A. Plimmer, M. Hopkinson, G. J. Rees, D. C. Herbert, D. R. Wight: IEEE Trans. Electron Dev. ED45, 2096 (1998)
S. A. Plimmer, J. P. R. David, R. Grey, G. J. Rees: IEEE Trans. Electron Dev. ED47, 21089 (2000)
L. W. Cook, G. E. Bulman, G. E. Stillma: Appl. Phys. Lett. 40, 589 (1982)
C. A. Lee, R. A. Logan, R. L. Batdorf, J. J. Kleimack, W. Wiegmann: Phys. Rev. 134, B766 (1964)
C. Bulutay: Semicond. Sci. Technol. 17, L59 (2002)
G. Juska, K. Arlauskas: Phys. Status Solidi 59, 389 (1980)
W. Shockley: Solid State Electron. 2, 35 (1961)
G. A. Baraff: Phys. Rev. 128, 2507 (1962)
B. K. Ridley: J. Phys. C 16, 4733 (1983)
M. G. Burt: J. Phys. C 18, L477 (1985)
S. MacKenzie, M. G. Burt: Semicond. Sci. Technol. 2, 275 (1987)
B. K. Ridley: Semicond. Sci. Technol. 2, 116 (1987)
J. S. Marsland: Solid State Electron. 30, 125 (1987)
J. S. Marsland: Semicond. Sci. Technol. 5, 177 (1990)
S. O. Kasap, J. A. Rowlands, S. D. Baranovskii, K. Tanioka: J. Appl. Phys. 96, 2037 (2004)
W. Walukiewicz, H. E. Ruda, J. Lagowski, H. C. Gatos: Phys. Rev. B 30, 4571 (1984)
K. V. Klitzing, G. Dorda, M. Pepper: Phys. Rev. Lett. 45, 494 (1980)
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Kasap, S., Koughia, C., Ruda, H., Johanson, R. (2006). Electrical Conduction in Metals and Semiconductors. In: Kasap, S., Capper, P. (eds) Springer Handbook of Electronic and Photonic Materials. Springer Handbooks. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-29185-7_2
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DOI: https://doi.org/10.1007/978-0-387-29185-7_2
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