Abstract
The theory of the isothermal electron transport properties of metals is concerned with the description of the motion of an electron under the combined influences of externally applied electric and magnetic fields and the internal periodic potential due to the ionic lattice. We shall find it convenient to follow Chambers1 and to classify into five categories the conditions under which the electron transport effects can be imagined to exist. These are classified according to the value of ω c τ, where ω c [defined in equation (1.15)] is the cyclotron frequency of a representative electron state in momentum space corresponding to the applied magnetic field H, and τ is the average relaxation time of an electron in a cyclotron orbit. The five categories are the following.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. G. Chambers, “Magnetoresistance,” in: W. A. Harrison and M. B. Webb (eds.), The Fermi Surface ,John Wiley, New York, 1960, p. 100.
E. H. Hall, Am. J. Math. 2, 287 (1879).
V. A. Marsocci and T. T. Chen, J. Appl. Phys. 40, 3361 (1969).
C. P. Battarel and M. Galinier, IEEE Trans. Mag. MAG5, 18 (1969).
V. D. Ky, Zh. Eksp. Teor. Fiz. 54, 762 (1968)
V. D. Ky Zh. Eksp[Soviet Phys.-JETP (Engl. trans.) 27, 407 (1968)].
M. L. Yu and J. T. H. Chang, J. Phys. Chem. Solids 31, 1997 (1970).
W. A. Harrison, Phys. Rev. 118, 1190(1960).
A. B. Pippard, The Dynamics of Conduction Electrons ,Blackie and Sons Ltd., London, 1965.
W. Mercouroff, La Surface de Fermi des Métaux ,Masson et Cie., Paris, 1967.
E. Fawcett, Advan. Phys. 13, 139 (1964).
I. M. Lifshitz and V. G. Peshanskii, Zh. Eksp. Teor. Fiz. 35, 1251 (1958)
I. M. Lifshitz V. G. Peshanskii[Soviet Phys.-JETP (Engl. trans.) 35, 875 (1959)]; 38, 188 (1960)
I. M. Lifshitz V. G. Peshanskii[Soviet Phys.-JETP (Engl. trans.) 11, 137 (1960)].
E. Fawcett and W. A. Reed, Phys. Rev. 131, 2463 (1963).
A. B. Pippard, Repts. Progr. Phys. 23, 176 (1960).
A. H. Kahn and H. P. R. Frederikse, Solid State Phys. 9, 257 (1959).
L. M. Roth and P. N. Argyres, “Magnetic Quantum Effects,” in: R. K. Willardson and A. C. Beer (eds.), Semiconductors and Semimetals, Vol. 1 ,Academic Press, New York, 1966, p. 159.
L. Schubnikov and W. J. de Haas, Leiden Comm. 207, 210 (1930).
I. M. Lifshitz, J. Phys. Chem. Solids 4, 11 (1958).
P. N. Argyres, Phys. Rev. 109, 1115 (1958).
J. M. Reynolds, H. W. Hemstreet, T. E. Leinhardt, and D. D. Triantos, Phys. Rev. 96, 1203 (1954).
M. H. Cohen and L. M. Falicov, Phys. Rev. Letters 7, 231 (1961).
E. I. Blount, Phys. Rev. 126, 1636 (1962).
L. M. Falicov, A. B. Pippard, and P. R. Sievert, Phys. Rev. 151, 498 (1966).
L. M. Falicov and P. R. Sievert, Phys. Rev. Letters 12, 558 (1964).
R. C. Barklie and A. B. Pippard, Proc. Roy. Soc. (London) A317, 167 (1970).
R. W. Stark, Phys. Rev. Letters 9, 482 (1962).
R. J. Balcombe and R. A. Parker, Phil. Mag. 21, 533 (1970).
A. B. Pippard, “Metallic Electrons in a Magnetic Field,” in: J. M. Ziman (ed.), The Physics of Metals ,Cambridge University Press, Cambridge, 1969, p. 113.
A. B. Pippard, Proc. Roy. Soc. (London) A270, 1 (1962);
A. B. PippardPhil. Trans. Roy. Soc. London 256, 39 (1964).
R. W. Stark and L. M. Falicov, Progr. Low Temp. Phys. 5, 235 (1967).
T. S. Jayadevaiah, Thin Solid Films 4, R37 (1969).
G. Brandli and J. L. Olsen, Materials Sci. Eng. (Netherlands) 4, 61 (1969).
R. G. Chambers, “Transport Properties: Surface and Size Effects,” in: J. M. Ziman (ed.), The Physics of Metals ,Cambridge University Press, Cambridge, 1969, p. 175.
K. Fuchs, Proc. Cambridge Phil. Soc. 34, 100 (1938).
E. H. Sondheimer, Adv. Phys. 1, 1 (1952).
A. N. Friedman and S. H. Koenig, IBM J. Res. Develop. 4, 158 (1960).
H. Schwartz, Phys. Kond. Mater. 9, 164(1969);
H. SchwartzPhys. Stat. Sol. 39, 507(1970).
D. K. C. MacDonald and K. Sarginson, Proc. Roy. Soc. (London) A203, 223 (1950).
G. K. White and S. B. Woods, Phil. Mag. 1, 846 (1956).
E. Ditlefson and J. Lothe, Phil. Mag. 14, 759 (1966).
M. Ya. Azbel, Zh. Eksp. Teor. Fiz. 44, 1262 (1963)
M. Ya. Azbel, [Soviet Phys.-JETP (Engl. trans.) 17, 851 (1963)].
W. F. Druyvesteyn, Phil. Mag. 18, 11 (1968).
F. Stern, Phys. Rev. Letters 21, 1687 (1968).
I. Holwech, Phil. Mag. 12, 117 (1965).
R. Lück, Phys. Stat. Sol. 18, 59 (1966).
E. H. Sondheimer, Phys. Rev. 80, 401 (1950).
H. J. Mackey and J. R. Sybert, Phys. Rev. 158, 658 (1967).
N. H. Zebouni, R. E. Hamburg, and H. J. Mackey, Phys. Rev. Letters 11, 260 (1963).
J. Feder and T. Jossang, Physica Norvegica 1, 217 (1963).
V. L. Gurevich, Zh. Eksp. Teor. Fiz. 35, 668 (1958)
V. L. Gurevich,[Soviet Phys.-JETP (Engl. trans.) 35, 464 (1959)].
H. J. Mackey and J. R. Sybert, Phys. Rev. 164, 982 (1967).
T. Alstadheim and R. Risnes, Phil. Mag. 18, 885 (1968).
D. Shoenberg, “Electronic Structure: The Experimental Results,” in: J. M. Ziman (ed.), The Physics of Metals ,Cambridge University Press, Cambridge, 1969, p. 62.
C. G. Grenier, K. R. Efferson, and J. M. Reynolds, Phys. Rev. 143, 406 (1966).
D. E. Soule and J. C. Abele, Phys. Rev. Letters 23, 1287 (1969).
S. B. Soffer, Phys. Rev. 176, 861 (1968).
V. P. Duggal, R. Rup, and P. Tripathi, Appl. Phys. Letters 9, 293 (1966).
H. E. Bennett and J. M. Bennett, “Validity of the Drude Theory for Ag, Au and Al in the Infra-Red,” in: F. Abeles (ed.), Optical Properties and Electronic Structure of Metals and Alloys ,North-Holland, Amsterdam, 1966, p. 175.
V. P. Duggal and R. Rup, J. Appl. Phys. 40, 492 (1969).
Yu. F. Ogrin, V. N. Lutskii, and M. I. Elinson, Zh. Eksp. Teor. Fiz. Pis. Red. 3, 114 (1966)
Yu. F. Ogrin, V. N. Lutskii, and M. I. Elinson, [Soviet Phys.-JETP Letters (Engl. trans.) 3, 71 (1966)].
V. B. Sandomirskii, Zh. Eksp. Teor. Fiz. 52, 158 (1967)
V. B. Sandomirskii,[Soviet Phys.-JETP (Engl. trans.) 25, 101 (1967)].
B. A. Tavger and V. Demikovskii, Fiz. Tverd. Tela 5, 644 (1963) [Soviet Phys.-Solid State (Engl. trans.) 5, 469 (1963)].
L. V. Iogansen, Zh. Eksp. Teor. Fiz. 50, 709 (1966)
L. V. Iogansen,[Soviet Phys.-JETP (Engl. trans.) 23, 470 (1966)].
R. G. Chambers and B. K. Jones, Proc. Roy. Soc. (London) A270, 417 (1962).
J. E. A. Alderson and T. Farrell, Phys. Rev. 185, 876 (1969).
F. E. Rose, M. T. Taylor, and R. Bowers, Phys. Rev. 127 ,1122 (1962).
R. D. Barnard, J. E. A. Alderson, T. Farrell, and C. M. Hurd, Phys. Rev. 176, 761 (1968).
N. E. Alekseevskii and Yu. P. Gaidukov, Zh. Eksp. Teor. Fiz. 42, 69 (1962) [Soviet Phys.-JETP (Engl. trans.) 15, 49 (1962)].
J. R. Merrill, Phys. Rev. 166, 716 (1968).
V. G. Volotskaya, Zh. Eksp. Teor. Fiz. 44, 80 (1963) [Soviet Phys.-JETP (Engl. trans.) 17, 56 (1963)].
E. S. Borovik and V. G. Volotskaya, Zh. Eksp. Teor. Fiz. 48, 1554 (1965) [Soviet Phys.-JETP (Engl. trans.) 21, 1041 (1965)].
R. Lück, Phys. Stat. Sol. 18, 49 (1966).
D. Shoenberg, Phil. Trans. Roy. Soc. London A245, 1 (1952).
R. A. Cornell and J. A. Marcus, Phys. Rev. 107, 940 (1957).
W. C. Overton and T. G. Berlincourt, Phys. Rev. 99, 1165 (1955).
J. Babiskin, Phys. Rev. 107, 981 (1957).
A. S. Joseph and W. L. Gordon, Phys. Rev. 126, 489 (1962).
W. A. Reed and G. F. Brennert, Phys. Rev. 130, 565 (1963).
V. Frank, Appl. Sci. Research B7, 41 (1958).
G. T. Croft, W. F. Love, and F. C. Nix, Phys. Rev. 95, 1403 (1954).
P. B. Alers, Phys. Rev. 107, 959 (1957).
J. R. Sybert, H. J. Mackey, and R. E. Miller, Phys. Letters 24A, 655 (1967).
C. Miziumski and A. W. Lawson, Phys. Rev. 180, 749 (1969).
J. Yahia and J. A. Marcus, Phys. Rev. 113, 137 (1959).
M. C. Steel, Phys. Rev. 99, 1751 (1955).
J. Ketterson and Y. Eckstein, Phys. Rev. 132, 1,885 (1963).
D. K. C. MacDonald, Nature 163, 637 (1949).
J. Babiskin and P. G. Siebenmann, Phys. Rev. 107, 1249 (1957).
W. Cirkler, Z. Physik 147, 481 (1957).
H. J. Mackey, J. R. Sybert, and J. T. Fielder, Phys. Rev. 157, 578 (1967).
E. R. Andrew, Proc. Phys. Soc. (London) 62, 77 (1949).
A. F. Mayadas, J. Appl. Phys. 39, 4241 (1968).
T. Amundsen, Phil. Mag. 17, 107 (1968).
T. Amundsen and T. Olsen, Phil. Mag. 11, 561 (1965).
H. J. Mackey, J. R. Sybert, and R. D. Hight, Phys. Rev. Bl, 2385 (1970).
K. Forsvoll and I. Holwech, Phil. Mag. 10, 921 (1964); 9, 435 (1964).
R. Risnes and V. Sollien, Phil. Mag. 20, 895 (1969).
A. von Bassewitz and E. N. Mitchell, Phys. Rev. 182, 712 (1969).
I. Holwech and J. Jeppesen, Phil. Mag. 15, 217 (1967).
H. J. Mackey, J. R. Sybert, and H. C. Mollenkopf, Phys. Rev. 161, 611 (1967).
M. Yaqub and J. F. Cochran, Phys. Rev. 137, A1182 (1965).
J. A. Munarin, J. A. Marcus, and P. E. Bloomfield, Phys. Rev. 172, 718 (1968).
J. L. Olsen, Helv. Phys. Acta 31, 713 (1958).
P. Wyder, Phys. Kond. Mater. 3, 263 (1965).
B. N. Aleksandrov, Zh. Eksp. Teor. Fiz. 43, 399 (1962) [Soviet Phys.-JETP (Engl. trans.) 16, 286 (1963)].
J.-Y. Le Traon and H.-A. Combet, Compt. Rend. 268B, 502 (1969).
Yu. F. Komnik and E. I. Bukhshtab, Zh. Eksp. Teor. Fiz. 54, 63 (1968) [Soviet Phys.-JETP (Engl. trans.) 27, 34 (1968)].
D. D. Thornburg and C. M. Wayman, Phil. Mag. 20, 1153 (1969).
N. C. McGill, Physica 40, 91 (1968).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1972 Plenum Press, New York
About this chapter
Cite this chapter
Hurd, C.M. (1972). The Dynamics of Electrons in Metals: Low-Temperature Effects. In: The Hall Effect in Metals and Alloys. The International Cryogenics Monograph Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0465-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0465-5_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0467-9
Online ISBN: 978-1-4757-0465-5
eBook Packages: Springer Book Archive