---

Prog. Theor. Phys. Vol. 12 No. 4 (1954) pp. 443-453

On the Conductivity of Non-polar Crystals in the Strong Electric Field, I

Jiro Yamashita and Mitukuni Watanabe

Institute of Science and Technology, University of Tokyo

(Received May 17, 1954)

Abstract:

Recently Ryder and Shockley have found experimentally that the electrical conduction in a pure germanium crystal shows the marked deviation from Ohm's law in the strong electric field. In order to clarify the mentioned phenomena along the usual theory of electrical conduction, we have calculated the distribution function of conducting electrons in non-polar semiconductor by solving the well-known Bloch's integral equation to the second order approximation, taking account of the interaction of electrons with both the acoustical and optical modes of lattice vibrations. As a result we have found that our theory may well interpret the general behaviour of this phenomenon qualitatively. Furthermore, we have discussed the effect of impurity ions upon the critical field strength.

URL : http://ptp.ipap.jp/link?PTP/12/443/
DOI : 10.1143/PTP.12.443

[ Full Text PDF : FREE ACCESS (841K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. E. J. Ryder and W. Shockley, Phys. Rev. 81 (1951), 193[APS].
2. W. Shockley, Bell System Tech. J. 30 (1951), 990.
3. J. Yamashita and M. Watanabe, J. Phys. Soc. Jpn. 7 (1952), 334, [JPSJ](I).
4. A. H. Wilson, Theory of Metals (1936).
5. F. Seitz, Phys. Rev. 75 (1948), 549[APS].
6. E. Conwell and V. F. Weisskopf, Phys. Rev. 77 (1950), 388[APS].
7. E. J. Ryder, Phys. Rev. 90 (1953), 766[APS].
8. E. Conwell, Phys. Rev. 90 (1953), 769[APS].

Citing Article(s) :

1. ERROR : Mag:23, Vol:L238, Page:
2. ERROR : Mag:24, Vol:537, Page:
3. Progress of Theoretical Physics Vol. 15 No. 2 (1956) pp. 95-110 :

   Theory of Electron Multiplication in Silicon

   Jiro Yamashita

4. Progress of Theoretical Physics Vol. 21 No. 6 (1959) pp. 938-939 :

   The Influence of Interelectronic Collision on Conduction in Non-Polar Crystals

   Yoshiki Uchiyama

5. Progress of Theoretical Physics Vol. 24 No. 2 (1960) pp. 357-369 :

   Electron-Electron Interaction in Hot Electron Problems

   Jiro Yamashita

6. Progress of Theoretical Physics Vol. 28 No. 3 (1962) pp. 433-458 :

   Theory of Electrical Resistance with Simple Application to Hot Electron Problem

   Noboru Takimoto

7. Progress of Theoretical Physics Vol. 33 No. 3 (1965) pp. 343-362 :

   Hot Electron in a Strong Magnetic Field

   Jiro Yamashita

8. Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 562-564 :

   Distribution Functions of Degenerate Hot Electrons

   Motohiko Saitoh

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.