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On the temperature dependence of the dc conductivity of a semiconductor quantum wire in an insulator

Abstract

The dc resistivity of a semiconductor quantum wire in an insulator host matrix, caused by the interaction between charge carriers and longitudinal acoustic phonons of the host, is considered. Based on an approximation of the relaxation time, simple analytical expressions for calculating the conductivity were derived for the case of a nondegenerate gas of carriers in a quantum wire. If the carrier concentration is independent of temperature, the wire resistivity increases with temperature as T 5/2, i.e., more steeply than in a bulk covalent semiconductor.

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Translated from Fizika i Tekhnika Poluprovodnikov, Vol. 37, No. 6, 2003, pp. 735–737.

Original Russian Text Copyright © 2003 by Poklonski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Kislyakov, Vyrko.

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Poklonskii, N.A., Kislyakov, E.F. & Vyrko, S.A. On the temperature dependence of the dc conductivity of a semiconductor quantum wire in an insulator. Semiconductors 37, 710–712 (2003). https://doi.org/10.1134/1.1582540

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Keywords

  • Relaxation Time
  • Charge Carrier
  • Magnetic Material
  • Carrier Concentration
  • Electromagnetism