Abstract
The phonon drag resistivity for potassium is calculated by solving the Boltzman equations for both the electrons and phonons as opposed to the conventional method of Ziman where the phonon equation is not considered. By an application of the Schwartz inequality we can show that the drag resistivity in the present formalism is larger than that obtained by the conventional method. We substantiate this result by numerical calculation for potassium at very low temperatures, using a realistic phonon spectrum obtained from inelastic neutron scattering data.
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References
Archibald M A, Dunick J E and Jericho M H 1967Phys. Rev. 153 78
Ashcroft N W 1966Phys. Lett. 23 48
Bardeen J 1937Phys. Rev. 52 688
Bailyn M 1958Phys. Rev. 112 1587
Ekin J W 1971Phys. Rev. Lett. 26 1550
Garland J C and Bowers R 1968Phys. Rev. Lett. 21 1007
Gugan D 1971Proc. Roy. Soc. Ser. A 325 223
Gurevich L 1945J. Phys. (U.S.S.R.) 9 477; 194610 67
Huebener R P 1966Phys. Rev. 146 502
Hasegawa A 1964J. Phys. Soc. Japan 19 504
Kaveh, Moshe and Wiser, Nathan 1972Phys. Rev. Lett. 29 1374
Natale G G and Rudnick I 1968Phys. Rev. 167 687
Peierls R 1930Ann. Phys. LPZ (5),4 121
Rice T M and Sham L 1970Phys. Rev. B 1 4546
Sondheimer E H 1956Can. J. Phys. 34 1246
Trofimenkoff P N and Ekin J W 1971Phys. Rev. B 4 2392
Woods A D B, Brockhouse B N, March R H, Stewart A T and Bowers R 1962Phys. Rev. 128 1112
Ziman J M 1963Electrons and phonons (Clarendon Press, Oxford)
Wilkins J W and Lowrence W E 1970 O.N.R. contract N00014-67-A-6077-0010, Technical report No. 28
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Parts of this paper were presented as partial fulfilment for a Ph.D. degree at Cornell University. The work was partially supported by CSIR funding.
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Roy, M. Phonon drag resistivity of potassium. Pramana - J. Phys. 2, 273–281 (1974). https://doi.org/10.1007/BF02847084
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DOI: https://doi.org/10.1007/BF02847084