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Anomalous phonon scattering responsible for the electron relaxation time in the longitudinal magneto-resistance in bismuth

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Physics of condensed matter

Abstract

Anomalous longitudinal Shubnikov-de Haas oscillation of bismuth which was found by the authors is confirmed by extending the experimental temperature range up to 40K. With the temperature rise, the oscillation amplitude increases remarkably at lower temperatures, saturates and decreases slowly at higher temperature. The effect is explained by considering two types of relaxation mechanisms of electron orbits, i.e., intra-Landau level and inter-Landau level scatterings due to phonons. Phonons responsible for the inter-level scatterings are less excited at lower temperature and give the observed anomalous effect. A numerical estimate has been presented.

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References

  1. Steele, M. C.: Phys. Rev.97, 1720 (1955)

    Google Scholar 

  2. Babiskin, J.: Phys. Rev.107, 981 (1957)

    Google Scholar 

  3. Mase, S., Tanuma, S.: J. Phys. Soc. Jap.14, 1644 (1959); Sci. Rep. Inst. Tohoku Univ. A 1, 35 (1960)

    Google Scholar 

  4. Mase, S., Von Molnar, S., Lawson, A. W.: Phys. Rev.127, 1030 (1962)

    Google Scholar 

  5. Friedman, A. N.: Phys. Rev.159, 553 (1967)

    Google Scholar 

  6. Hattori, T.: J. Phys. Soc. Jap.24, 762 (1968)

    Google Scholar 

  7. Reviewed by L. M. Roth and P. N. Argyres: Semiconductors and semimetals 1, chap. 6, ed. R. K. Willardson and A. C. Beer, New York: Academic Press 1966

    Google Scholar 

  8. Mase, S., Fujimori, Y., Mori, H.: Proc. Int. Conf. Phys. Semicond., Kyoto (J. Phys. Soc. Japan21 Suppl.) 746 (1966)

    Google Scholar 

  9. Kubo, R., Hasegawa, H., Hashitsume, N.: J. Phys. Soc. Jap.14, 56 (1959)

    Google Scholar 

  10. Bhargava, R. N.: Phys. Rev.156, 785 (1967)

    Google Scholar 

  11. Gantmakher, V. F.: English translation from ZhETP Pis. Red.16, 256 (1972)

    Google Scholar 

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Tanuma, Si., Inada, R. Anomalous phonon scattering responsible for the electron relaxation time in the longitudinal magneto-resistance in bismuth. Phys cond Matter 19, 95–104 (1975). https://doi.org/10.1007/BF01458854

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  • DOI: https://doi.org/10.1007/BF01458854

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