Abstract
Electron-phonon scattering rates in ultrapure single crystals of copper have been determined from the temperature dependence of the magnetoacoustic oscillation amplitudes for various orbits on the Fermi surface using both longitudinal and transverse waves. The central belly orbit seattering rate is found to be (6.0±0.3)×106 T 3 sec−1. Additionally, a rate of (2.9±0.2)×106 T 3 sec−1 is found which is attributed to belly orbits displaced from the zone center by about 1.25/a 0, wherea 0 is the lattice constant. Geometric oscillations associated with the [111]—directed open orbit are observed at low fields forq‖ [113] and the rate for this orbit is found to be (4.8±0.3)×106 T 3 sec−1. Geometric oscillations for the dog's bone and neck orbits are observable but rates for these orbits are believed to be unreliable. Our measured rates are compared with those of other workers.
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Cohen, M. H., Harrison, M. J., Harrison, W. A.: Phys. Rev.117, 937 (1960)
Pippard, A. B.: Proc. Roy. Soc.A257, 165 (1960)
Mertsching, J.: Phys. Status solidi37, 465 (1970)
Peverley, J. R.: Ultrasonic Studies of the Interaction between Electrons and Thermal Phonons. Phys. cond. Matter19, 51 (1975)
Häussler, P., Welles, S. J.: Phys. Rev.152, 675 (1966)
Doezema, R. E., Koch, J. F.: Phys. Rev.B6, 207 (1972)
Gantmakher, V. F., Gasparov, V. A.: Zh. Eksp. and Theor. Fiz.64, 1712 (1973), J.E.T.P. (to be published)
Phua, M. S., Peverley, J. R.: Phys. Rev.B3, 3115 (1971)
Gantmakher, V. F.: Rep. Prog. Phys.37, 317 (1974)
Lee, M. J. G.: Phys. Rev.B2, 250 (1970)
Nowak, D.: Phys. Rev.B6, 3691 (1972)
Scattering angles have recently been estimated for electron-phonon scattering in copper; D. S. Khatri and J. R. Peverley: Phys. Letters46 A, 36 (1973). It is questionable whether the small-angle limit applies in typical experimental situations
Das, S. G.: Phys. Rev.B7, 2238 (1973)
Witt, T. J., Peverley, J. R.: Phys. Rev.B2, 2974 (1970)
Kamm, G. N.: Phys. Rev.B1, 554 (1970)
Halse, M. R.: Phil. Trans. Roy. Soc. (London)A265, 507 (1969)
The argument here can be stated as follows. The resonance linewidth is mainly determined by scattering out of the plane of the orbit and is determined in part by the fixed width Δk of the open orbit band, as discussed in Ref. 4. Geometric oscillation amplitudes for the same open orbit, however, are mainly controlled by scatteringalong the open orbit direction, which becomes more effective whenn is large, just as for closed orbits
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Khatri, D.S., Peverley, J.R. Ultrasonic determination of electron-phonon scattering rates in copper. Phys cond Matter 19, 67–77 (1975). https://doi.org/10.1007/BF01458851
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DOI: https://doi.org/10.1007/BF01458851